From e6acb78584e9bf83e75ee28bd3eab945132e4d82 Mon Sep 17 00:00:00 2001 From: Luc Sarzyniec Date: Fri, 25 Feb 2011 17:59:31 +0100 Subject: [PATCH] Initial import --- AUTHORS | 2 + COPYING | 675 +++++++++++++++++++++++++++ Main.java | 89 ++++ adpo-compte_rendu.pdf | Bin 0 -> 704914 bytes analyse/AnalyseLexicale.java | 218 +++++++++ analyse/AnalyseLexicaleFile.java | 51 ++ analyse/AnalyseLexicaleString.java | 26 ++ analyse/AnalyseSyntaxique.java | 329 +++++++++++++ analyse/AnalyseSyntaxiqueFile.java | 15 + analyse/AnalyseSyntaxiqueString.java | 14 + analyse/Lexeme.java | 92 ++++ analyse/TableLexeme.java | 55 +++ fichier | 1 + formule/Atome.java | 95 ++++ formule/Binaire.java | 20 + formule/BinaireFormule.java | 14 + formule/Clause.java | 187 ++++++++ formule/ClauseVide.java | 3 + formule/Closible.java | 8 + formule/Connecteur.java | 17 + formule/Constante.java | 19 + formule/Ensemble.java | 29 ++ formule/EnsembleTermes.java | 76 +++ formule/Et.java | 63 +++ formule/Faux.java | 39 ++ formule/Fonction.java | 16 + formule/Formule.java | 17 + formule/IlExiste.java | 51 ++ formule/Implique.java | 47 ++ formule/Non.java | 46 ++ formule/OperateurClausal.java | 7 + formule/Ou.java | 83 ++++ formule/PourTout.java | 43 ++ formule/Simplifiable.java | 6 + formule/Skolemisation.java | 9 + formule/Terme.java | 7 + formule/Unaire.java | 14 + formule/UnaireFormule.java | 13 + formule/Variable.java | 19 + formule/Vrai.java | 39 ++ readme | 122 +++++ resolution/ClauseResolution.java | 65 +++ resolution/FormeClausale.java | 114 +++++ resolution/Resolution.java | 55 +++ resolution/RobinsonResolution.java | 223 +++++++++ resolution/Substitution.java | 118 +++++ resolution/Unification.java | 305 ++++++++++++ test/TestAnalyse.java | 40 ++ test/TestClauseResolution.java | 23 + test/TestFormule.java | 41 ++ test/TestRobinsonResolution.java | 24 + test/TestUnification.java | 37 ++ test/Tests.java | 38 ++ 53 files changed, 3759 insertions(+) create mode 100644 AUTHORS create mode 100644 COPYING create mode 100755 Main.java create mode 100755 adpo-compte_rendu.pdf create mode 100755 analyse/AnalyseLexicale.java create mode 100755 analyse/AnalyseLexicaleFile.java create mode 100755 analyse/AnalyseLexicaleString.java create mode 100755 analyse/AnalyseSyntaxique.java create mode 100755 analyse/AnalyseSyntaxiqueFile.java create mode 100755 analyse/AnalyseSyntaxiqueString.java create mode 100755 analyse/Lexeme.java create mode 100755 analyse/TableLexeme.java create mode 100755 fichier create mode 100755 formule/Atome.java create mode 100755 formule/Binaire.java create mode 100755 formule/BinaireFormule.java create mode 100755 formule/Clause.java create mode 100755 formule/ClauseVide.java create mode 100755 formule/Closible.java create mode 100755 formule/Connecteur.java create mode 100755 formule/Constante.java create mode 100755 formule/Ensemble.java create mode 100755 formule/EnsembleTermes.java create mode 100755 formule/Et.java create mode 100755 formule/Faux.java create mode 100755 formule/Fonction.java create mode 100755 formule/Formule.java create mode 100755 formule/IlExiste.java create mode 100755 formule/Implique.java create mode 100755 formule/Non.java create mode 100755 formule/OperateurClausal.java create mode 100755 formule/Ou.java create mode 100755 formule/PourTout.java create mode 100755 formule/Simplifiable.java create mode 100755 formule/Skolemisation.java create mode 100755 formule/Terme.java create mode 100755 formule/Unaire.java create mode 100755 formule/UnaireFormule.java create mode 100755 formule/Variable.java create mode 100755 formule/Vrai.java create mode 100755 readme create mode 100755 resolution/ClauseResolution.java create mode 100755 resolution/FormeClausale.java create mode 100755 resolution/Resolution.java create mode 100755 resolution/RobinsonResolution.java create mode 100755 resolution/Substitution.java create mode 100755 resolution/Unification.java create mode 100755 test/TestAnalyse.java create mode 100755 test/TestClauseResolution.java create mode 100755 test/TestFormule.java create mode 100755 test/TestRobinsonResolution.java create mode 100755 test/TestUnification.java create mode 100755 test/Tests.java diff --git a/AUTHORS b/AUTHORS new file mode 100644 index 0000000..f2ecf02 --- /dev/null +++ b/AUTHORS @@ -0,0 +1,2 @@ +Luc 'olbat' Sarzyniec + diff --git a/COPYING b/COPYING new file mode 100644 index 0000000..10926e8 --- /dev/null +++ b/COPYING @@ -0,0 +1,675 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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Interpretation of Sections 15 and 16. + + If the disclaimer of warranty and limitation of liability provided +above cannot be given local legal effect according to their terms, +reviewing courts shall apply local law that most closely approximates +an absolute waiver of all civil liability in connection with the +Program, unless a warranty or assumption of liability accompanies a +copy of the Program in return for a fee. + + END OF TERMS AND CONDITIONS + + How to Apply These Terms to Your New Programs + + If you develop a new program, and you want it to be of the greatest +possible use to the public, the best way to achieve this is to make it +free software which everyone can redistribute and change under these terms. + + To do so, attach the following notices to the program. It is safest +to attach them to the start of each source file to most effectively +state the exclusion of warranty; and each file should have at least +the "copyright" line and a pointer to where the full notice is found. + + + Copyright (C) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + Copyright (C) + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. + diff --git a/Main.java b/Main.java new file mode 100755 index 0000000..eea8f55 --- /dev/null +++ b/Main.java @@ -0,0 +1,89 @@ +package adpo; + +import adpo.analyse.*; +import adpo.formule.*; +import adpo.resolution.*; + +public class Main { + public static final int + FICHIER = 0x1000, + FORMULE = 0x2000; + + public static int verifArgs(String[] args) { + if (args.length <= 0) { + System.out.println("usage:\tjava fichierMain " + + "-e \"\""); + System.out.println("\tjava fichierMain " + + "[-f] "); + System.exit(0); + } + if (args.length > 1 && "-e".equals(args[0])) + return FORMULE + 1; + else if (args.length > 1 && "-f".equals(args[0])) + return FICHIER + 1; + else + return FICHIER; + } + + public static int getDecalage(int nb) { + return ((nb & ~FICHIER) & ~FORMULE); + } + + public static boolean estFichier(int nb) { + return (nb & FICHIER) != 0; + } + + public static boolean estFormule(int nb) { + return (nb & FORMULE) != 0; + } + + public static void checkNull(Object o, String msg) { + if (o == null) { + System.err.println("Erreur lors de : " + msg); + System.exit(1); + } + } + + public static void main(String[] args) { + AnalyseLexicale al = null; + AnalyseSyntaxique as = null; + Formule f; + FormeClausale fc; + RobinsonResolution rr; + Clause res; + + int type = verifArgs(args); + String s = args[getDecalage(type)]; + + if (Main.estFormule(type)) { + al = new AnalyseLexicaleString(s); + as = new AnalyseSyntaxiqueString(s); + } else if (Main.estFichier(type)) { + al = new AnalyseLexicaleFile(s); + as = new AnalyseSyntaxiqueFile(s); + } else { + System.err.println("Erreur innatendue"); + System.exit(1); + } + + checkNull(al,"analyse lexicale"); + checkNull(as,"analyse syntaxique creation"); + + f = as.analyser(); + checkNull(f,"analyse syntaxique"); + System.out.println("Formule : " + f); + + fc = new FormeClausale(f); + checkNull(fc,"mise sous forme clausale"); + System.out.println("Forme clausale de la formule : " + fc); + + rr = new RobinsonResolution(fc); + checkNull(rr,"RobinsonResolution"); + + res = rr.resoudre(); + if (res instanceof ClauseVide) + System.out.println("\nLa formule est un théorème (LP1)"); + else + System.out.println("\nLa formule n'est pas Théorème (LP1)"); + } +} diff --git a/adpo-compte_rendu.pdf b/adpo-compte_rendu.pdf new file mode 100755 index 0000000000000000000000000000000000000000..7c0f949d2117442697ea825fbcc3ff2a9bdc43fd GIT binary patch literal 704914 zcmc$^1CS(Nw=X(vW7@WD+nS!XZQHhOThq4fp0>?t+s3W=pYz>wBhL5Y+=%xgUPoj_ z<*uxqt8%Tqe&|gqCn846NXG(AI#4vwInX?i3(Z8pKwxWN0nNihFJo+D>SRX13>Z%kIK1}Gzjc=?|G>yKgEJ}arw#C~b?1cU59XP%ylQ1zXe|&-PdIR;% zZ1~Lag<~HV;Nt@RZvQ>y%8r$I2XuTolt%K2)M(M-P@-Kis({h}lXWD|zf-D7=y2D= zfG&3YNWTa6>4*nQ>lu!&U2hL_@W#5K*laR>`~b-U`+of^7aEBdV&#ev3GQeu-da&u7OKIcOKf;Y4;o>joQsy zOOMq-Z%r#w8ZT37FA^5WXkRY6i5d9VIY4091?1F>i&~Ao#tbwvhs{;y!rrAXRhm~x ze7NAYN2y<@FAnT0j|GMt->B9Oo5%5=U-cJoy7H}1Ho1paQihjU(4duLBFvdXwY2a| zO7Xul8{$5j2(8KFy(k1+rx*}JDjqr^xggYZC(ZOh8`~KDXR-kA{^l3@Z(9GpVPWL> 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z0o!S{X11Mj5WBmLWA8O#-ftX>Y z;|XRuWniWg2FB-BImYKRXiQ{$+?Hc}tb~SFAI8T7ImY{;9OG?YF5>MC-gwu*c)iMz zDDGM#I)88$cEFbfmMi4zg+K1XeASu>VmGZWOr2^~lXC%6?N zoQM#ytGNDVC>`^Bgk zxP!vs0)^;{lb_@G=SV~5bTCP$3P;y3BqxHYYJM=9q9EgkV?2!JSfIuDF-&8Ep%--2 zL_ZcV3LTCuVL;1p5H>7f&v#_&*`EZCc=qAHzKEOlgE-M%(VLzfP8eMn@@VHvK z;uu1>AFvJ5s5MX=&a5EKLNe0jac)$aFtG1>EJW|Mmp>VhWwZa2hTIkaNgH5u=gO%YZ zQ(DQ#QZ%}Z6~d%KU4dx`<0Q$_5>$g&)6%ric1f0%3hflZYUzrF35B|XuLQOBm*q%Y zATxZ)VNeBQDGR_LXV!vooPY;7ASV&has-Fh!UMKKzK~|nm8%tBjsy?3hDlioANrmwRU^FU~ zEp`vYL1Z!X@Na4o#SJp7vn7K}N&;hvrn z+D*o~yFvCPXgA0q1nVyGq$Ie9ryJ`c`fC())bP+M-6K`X33_8RCZ;{5?u-O?^K^HW rQk0tqz{vN%%w}>e= getExprTaille()) { + id = Lexeme.ID_EOF; + lex = "__EOF__"; + } else { + id = Integer.MAX_VALUE; + lex = ""; + } + + while ((etat >= 0) && (id != Lexeme.ID_EOF)) { + if (pos < getExprTaille()) { + if (Lexeme.estSeparateur(getExprCarCourrant())) { + if (etat == ET_DIGITITERE) + etat = ET_SUCCES; + else + lireCarSuivant(); + continue; + } + } else { + if (ptr >= lex.length()) + etat = ET_SUCCES; + else + etat = ET_ERREUR; + break; + } + switch (etat) { + case ET_DEBUT: + switch (getExprCarCourrant()) { + case 'E': + etat = ET_CAR0_E; + break; + /* compilateur en carton + * case Lexeme.IMPLIQUE.charAt(0): + */ + case '=': + lex = Lexeme.IMPLIQUE; + id = Lexeme.ID_IMPLIQUE; + etat = ET_IMPLIQUE; + break; + /* case Lexeme.OU.charAt(0): */ + case 'O': + lex = Lexeme.OU; + etat = ET_OU; + id = Lexeme.ID_OU; + break; + /* case Lexeme.NON.charAt(0): */ + case 'N': + lex = Lexeme.NON; + etat = ET_NON; + id = Lexeme.ID_NON; + break; + /* case Lexeme.POUR_TOUT.charAt(0): */ + case 'A': + lex = Lexeme.POUR_TOUT; + etat = ET_POUR_TOUT; + id = Lexeme.ID_POUR_TOUT; + break; + /* case Lexeme.PARENTHESE_OUVRANTE.charAt(0): */ + case '(': + lex = Lexeme.PARENTHESE_OUVRANTE; + etat = ET_PARENTHESE_OUVRANTE; + id = Lexeme.ID_PARENTHESE_OUVRANTE; + break; + /* case Lexeme.PARENTHESE_FERMANTE.charAt(0): */ + case ')': + lex = Lexeme.PARENTHESE_FERMANTE; + etat = ET_PARENTHESE_FERMANTE; + id = Lexeme.ID_PARENTHESE_FERMANTE; + break; + /* case Lexeme.VIRGULE.charAt(0): */ + case ',': + lex = Lexeme.VIRGULE; + etat = ET_VIRGULE; + id = Lexeme.ID_VIRGULE; + break; + /* case Lexeme.VRAI.charAt(0): */ + case 'V': + lex = Lexeme.VRAI; + etat = ET_VRAI; + id = Lexeme.ID_VRAI; + break; + /* case Lexeme.FAUX.charAt(0): */ + case 'F': + lex = Lexeme.FAUX; + etat = ET_FAUX; + id = Lexeme.ID_FAUX; + break; + default: + switch (Lexeme.getEnsemble(getExprCarCourrant())) { + case Lexeme.ID_VARIABLES: + lex = getExprCarCourrant() + ""; + etat = ET_DIGITITERE; + id = Lexeme.ID_VARIABLES; + break; + case Lexeme.ID_CONSTANTES: + lex = getExprCarCourrant() + ""; + etat = ET_DIGITITERE; + id = Lexeme.ID_CONSTANTES; + break; + case Lexeme.ID_FONCTIONS: + lex = getExprCarCourrant() + ""; + etat = ET_DIGITITERE; + id = Lexeme.ID_FONCTIONS; + break; + case Lexeme.ID_RELATIONS: + lex = getExprCarCourrant() + ""; + etat = ET_DIGITITERE; + id = Lexeme.ID_RELATIONS; + break; + default: + etat = ET_ERREUR; + break; + } + break; + } + break; + case ET_CAR0_E: + if (((pos + 1) < getExprTaille()) + && (getExprCarSuivant() + == Lexeme.ET.charAt(1))) { + lex = Lexeme.ET; + etat = ET_ET; + id = Lexeme.ID_ET; + } else { + lex = Lexeme.IL_EXISTE; + etat = ET_IL_EXISTE; + id = Lexeme.ID_IL_EXISTE; + } + break; + case ET_DIGITITERE: + if (Character.isDigit(getExprCarCourrant())) + lex = lex + getExprCarCourrant(); + else + etat = ET_SUCCES; + break; + case ET_IMPLIQUE: + case ET_ET: + case ET_OU: + case ET_NON: + case ET_POUR_TOUT: + case ET_IL_EXISTE: + case ET_PARENTHESE_OUVRANTE: + case ET_PARENTHESE_FERMANTE: + case ET_VIRGULE: + case ET_VRAI: + case ET_FAUX: + if (ptr >= lex.length()) + etat = ET_SUCCES; + else if (getExprCarCourrant() != lex.charAt(ptr)) + etat = ET_ERREUR; + break; + } + if ((pos < getExprTaille()) && (ptr < lex.length()) + && (etat != ET_SUCCES)) { + lireCarSuivant(); + ptr++; + } else { + if ((etat != ET_ERREUR) && (etat != ET_CAR0_E)) + etat = ET_SUCCES; + } + } + if (etat == ET_ERREUR) + return -2; + else + return tableAnalyse.ajoutLexeme(new Lexeme(id,lex)); + } +} diff --git a/analyse/AnalyseLexicaleFile.java b/analyse/AnalyseLexicaleFile.java new file mode 100755 index 0000000..681baf0 --- /dev/null +++ b/analyse/AnalyseLexicaleFile.java @@ -0,0 +1,51 @@ +package adpo.analyse; + +import java.io.File; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class AnalyseLexicaleFile extends AnalyseLexicale { + private FileReader fichier; + private int length; + private char courCar, suivCar; + + public AnalyseLexicaleFile(String filename) { + super(); + File f = new File(filename); + length = (int) f.length(); + try { + fichier = new FileReader(f); + } catch (FileNotFoundException fnfe) { + System.err.println("Fichier introuvable"); + System.exit(1); + } + suivCar = 0; + lireCarSuivant(); + lireCarSuivant(); + pos = 0; + } + + public void lireCarSuivant() { + courCar = suivCar; + try { + suivCar = (char) fichier.read(); + } catch (IOException ioe) { + System.err.println("Erreur d'entree/sortie"); + System.exit(1); + } + pos++; + } + + public char getExprCarCourrant() { + return courCar; + } + + public char getExprCarSuivant() { + return suivCar; + } + + public int getExprTaille() { + return length; + } +} diff --git a/analyse/AnalyseLexicaleString.java b/analyse/AnalyseLexicaleString.java new file mode 100755 index 0000000..06884ed --- /dev/null +++ b/analyse/AnalyseLexicaleString.java @@ -0,0 +1,26 @@ +package adpo.analyse; + +public class AnalyseLexicaleString extends AnalyseLexicale { + private String expr; + + public AnalyseLexicaleString(String s) { + super(); + expr = s; + } + + public void lireCarSuivant() { + pos++; + } + + public char getExprCarCourrant() { + return expr.charAt(pos); + } + + public char getExprCarSuivant() { + return expr.charAt(pos + 1); + } + + public int getExprTaille() { + return expr.length(); + } +} diff --git a/analyse/AnalyseSyntaxique.java b/analyse/AnalyseSyntaxique.java new file mode 100755 index 0000000..59885ff --- /dev/null +++ b/analyse/AnalyseSyntaxique.java @@ -0,0 +1,329 @@ +package adpo.analyse; + +import adpo.formule.*; +import adpo.resolution.*; + +import java.util.LinkedList; + +public abstract class AnalyseSyntaxique { + private Lexeme lexCour; + private boolean erreur; + private AnalyseLexicale anaLex; + + public AnalyseSyntaxique() { + lexCour = null; + erreur = false; + anaLex = null; + } + + protected abstract AnalyseLexicale getAnaLex(); + + public boolean getErreur() { + return erreur; + } + + private boolean lire() { + int id; + boolean ret = ((id = anaLex.analyser()) >= 0); + if (ret) + lexCour = anaLex.getLexeme(id); + return ret; + } + + public Formule analyser() { + erreur = false; + /* anaLex = new AnalyseLexicaleString(formule); */ + anaLex = getAnaLex(); + + lire(); + + Formule f = anaFormule(); + + if ((erreur) || (lexCour.getType() != Lexeme.ID_EOF) || (f == null)) + return null; + else + return f; + } + + private String ana(int id) { + String ret = ""; + if (!erreur) { + if (lexCour.getType() == id) { + switch(id) { + case Lexeme.ID_CONSTANTES: + case Lexeme.ID_VARIABLES: + case Lexeme.ID_RELATIONS: + case Lexeme.ID_FONCTIONS: + ret = lexCour.getValeur(); + break; + default: + break; + } + lire(); + } else + erreur = true; + } + return ret; + } + + private Formule anaFormule() { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_NON: + case Lexeme.ID_RELATIONS: + case Lexeme.ID_VRAI: + case Lexeme.ID_FAUX: + case Lexeme.ID_PARENTHESE_OUVRANTE: + case Lexeme.ID_IL_EXISTE: + case Lexeme.ID_POUR_TOUT: + Formule fg = anaDisjonction(); + return anaFormulePrime(fg); + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaFormulePrime(Formule fg) { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_IMPLIQUE: + ana(Lexeme.ID_IMPLIQUE); + return new Implique(fg,anaFormule()); + case Lexeme.ID_PARENTHESE_FERMANTE: + case Lexeme.ID_EOF: + return fg; + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaDisjonction() { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_NON: + case Lexeme.ID_RELATIONS: + case Lexeme.ID_VRAI: + case Lexeme.ID_FAUX: + case Lexeme.ID_PARENTHESE_OUVRANTE: + case Lexeme.ID_IL_EXISTE: + case Lexeme.ID_POUR_TOUT: + Formule fg = anaConjonction(); + return anaDisjonctionD(fg); + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaDisjonctionD(Formule fg) { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_OU: + ana(Lexeme.ID_OU); + Formule fd = anaConjonction(); + /* Formule fD = anaDisjonctionD(fg); */ + return anaDisjonctionD(new Ou(fg,fd)); + case Lexeme.ID_PARENTHESE_FERMANTE: + case Lexeme.ID_EOF: + case Lexeme.ID_IMPLIQUE: + return fg; + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaConjonction() { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_NON: + case Lexeme.ID_RELATIONS: + case Lexeme.ID_VRAI: + case Lexeme.ID_FAUX: + case Lexeme.ID_PARENTHESE_OUVRANTE: + case Lexeme.ID_IL_EXISTE: + case Lexeme.ID_POUR_TOUT: + Formule fg = anaFacteur(); + return anaConjonctionD(fg); + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaConjonctionD(Formule fg) { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_ET: + ana(Lexeme.ID_ET); + Formule fd = anaFacteur(); + /* Formule fD = anaConjonctionD(fg); */ + return anaConjonctionD(new Et(fg,fd)); + case Lexeme.ID_PARENTHESE_FERMANTE: + case Lexeme.ID_OU: + case Lexeme.ID_EOF: + case Lexeme.ID_IMPLIQUE: + return fg; + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaFacteur() { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_NON: + ana(Lexeme.ID_NON); + return new Non(anaFacteur()); + case Lexeme.ID_RELATIONS: + case Lexeme.ID_VRAI: + case Lexeme.ID_FAUX: + case Lexeme.ID_PARENTHESE_OUVRANTE: + case Lexeme.ID_IL_EXISTE: + case Lexeme.ID_POUR_TOUT: + return anaFormuleQ(); + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaFormuleQ() { + if (!erreur) { + String nom; + Formule ret; + + switch (lexCour.getType()) { + case Lexeme.ID_RELATIONS: + case Lexeme.ID_VRAI: + case Lexeme.ID_FAUX: + return anaAtome(); + case Lexeme.ID_PARENTHESE_OUVRANTE: + ana(Lexeme.ID_PARENTHESE_OUVRANTE); + ret = anaFormule(); + ana(Lexeme.ID_PARENTHESE_FERMANTE); + return ret; + case Lexeme.ID_IL_EXISTE: + ana(Lexeme.ID_IL_EXISTE); + nom = ana(Lexeme.ID_VARIABLES); + return new IlExiste(new Variable(nom),anaFormuleQ()); + case Lexeme.ID_POUR_TOUT: + ana(Lexeme.ID_POUR_TOUT); + nom = ana(Lexeme.ID_VARIABLES); + return new PourTout(new Variable(nom),anaFormuleQ()); + default: + erreur = true; + break; + } + } + return null; + } + + private Formule anaAtome() { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_RELATIONS: + String nom = ana(Lexeme.ID_RELATIONS); + ana(Lexeme.ID_PARENTHESE_OUVRANTE); + EnsembleTermes et = + anaListeTermes(new Atome(nom)); + ana(Lexeme.ID_PARENTHESE_FERMANTE); + if (et instanceof Atome) + return (Atome) et; + else + erreur = true; + case Lexeme.ID_VRAI: + ana(Lexeme.ID_VRAI); + return new Vrai(); + case Lexeme.ID_FAUX: + ana(Lexeme.ID_FAUX); + return new Faux(); + default: + erreur = true; + break; + } + } + return null; + } + + private EnsembleTermes anaListeTermes(EnsembleTermes et) { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_VARIABLES: + case Lexeme.ID_CONSTANTES: + case Lexeme.ID_FONCTIONS: + et.ajouter(anaTerme()); + return anaListeTermesPrime(et); + default: + erreur = true; + break; + } + } + return null; + } + + private EnsembleTermes anaListeTermesPrime(EnsembleTermes et) { + if (!erreur) { + switch (lexCour.getType()) { + case Lexeme.ID_PARENTHESE_FERMANTE: + return et; + case Lexeme.ID_VIRGULE: + ana(Lexeme.ID_VIRGULE); + anaListeTermes(et); + return et; + default: + erreur = true; + break; + } + } + return null; + } + + private Terme anaTerme() { + if (!erreur) { + String nom; + switch (lexCour.getType()) { + case Lexeme.ID_VARIABLES: + Variable var; + + nom = ana(Lexeme.ID_VARIABLES); + var = new Variable(nom); + return var; + case Lexeme.ID_CONSTANTES: + nom = ana(Lexeme.ID_CONSTANTES); + return new Constante(nom); + case Lexeme.ID_FONCTIONS: + nom = ana(Lexeme.ID_FONCTIONS); + ana(Lexeme.ID_PARENTHESE_OUVRANTE); + EnsembleTermes et = + anaListeTermes(new Fonction(nom)); + ana(Lexeme.ID_PARENTHESE_FERMANTE); + if (et instanceof Fonction) + return (Fonction) et; + else + erreur = true; + default: + erreur = true; + break; + } + } + return null; + } +} diff --git a/analyse/AnalyseSyntaxiqueFile.java b/analyse/AnalyseSyntaxiqueFile.java new file mode 100755 index 0000000..b5a4e6a --- /dev/null +++ b/analyse/AnalyseSyntaxiqueFile.java @@ -0,0 +1,15 @@ +package adpo.analyse; + +public class AnalyseSyntaxiqueFile extends AnalyseSyntaxique { + private String filename; + + public AnalyseSyntaxiqueFile(String s) { + super(); + filename = s; + } + + protected AnalyseLexicale getAnaLex() { + return new AnalyseLexicaleFile(filename); + } +} + diff --git a/analyse/AnalyseSyntaxiqueString.java b/analyse/AnalyseSyntaxiqueString.java new file mode 100755 index 0000000..a0f55af --- /dev/null +++ b/analyse/AnalyseSyntaxiqueString.java @@ -0,0 +1,14 @@ +package adpo.analyse; + +public class AnalyseSyntaxiqueString extends AnalyseSyntaxique { + private String formule; + + public AnalyseSyntaxiqueString(String s) { + super(); + formule = s; + } + + protected AnalyseLexicale getAnaLex() { + return new AnalyseLexicaleString(formule); + } +} diff --git a/analyse/Lexeme.java b/analyse/Lexeme.java new file mode 100755 index 0000000..3d9b447 --- /dev/null +++ b/analyse/Lexeme.java @@ -0,0 +1,92 @@ +package adpo.analyse; + +public class Lexeme { + /* */ + public static final String + IMPLIQUE = "=>", + ET = "ET", + OU = "OU", + NON = "NON", + POUR_TOUT = "A", + IL_EXISTE = "E", + PARENTHESE_OUVRANTE = "(", + PARENTHESE_FERMANTE = ")", + VIRGULE = ",", + VRAI = "VRAI", + FAUX = "FAUX", + VARIABLES = "[xyz][0-9]*", + CONSTANTES = "[abc][0-9]*", + FONCTIONS = "[fgh][0-9]*", + RELATIONS = "[pqr][0-9]*", + SEPARATEURS = "\\s"; + + public static final int + ID_EOF = 0, + ID_IMPLIQUE = 1, + ID_ET = 2, + ID_OU = 3, + ID_NON = 4, + ID_POUR_TOUT = 5, + ID_IL_EXISTE = 6, + ID_PARENTHESE_OUVRANTE = 7, + ID_PARENTHESE_FERMANTE = 8, + ID_VIRGULE = 9, + ID_VRAI = 10, + ID_FAUX = 11, + ID_VARIABLES = 20, + ID_CONSTANTES = 21, + ID_FONCTIONS = 22, + ID_RELATIONS = 23; + + public static int getEnsemble(char c) { + String tmp = c + ""; + if (tmp.matches(Lexeme.VARIABLES)) + return ID_VARIABLES; + else if (tmp.matches(Lexeme.CONSTANTES)) + return ID_CONSTANTES; + else if (tmp.matches(Lexeme.FONCTIONS)) + return ID_FONCTIONS; + else if (tmp.matches(Lexeme.RELATIONS)) + return ID_RELATIONS; + else + return -1; + } + + public static boolean estSeparateur(char c) { + return (c + "").matches(Lexeme.SEPARATEURS); + } + /* */ + + private int type; + private String valeur; + + public Lexeme(int t, String v) { + type = t; + valeur = v; + } + + public int getType() { + return type; + } + + public String getValeur() { + return valeur; + } + + public boolean equals(Object o) { + if (o instanceof Lexeme) { + return (((Lexeme)o).type == type) + && (valeur == null ? ((Lexeme)o).valeur == null + : valeur.equals(((Lexeme)o).valeur)); + } else + return false; + } + + public int hashCode() { + return valeur.hashCode() + (type*31^valeur.length()); + } + + public String toString() { + return "(" + type + "," + valeur + ")"; + } +} diff --git a/analyse/TableLexeme.java b/analyse/TableLexeme.java new file mode 100755 index 0000000..93c54e0 --- /dev/null +++ b/analyse/TableLexeme.java @@ -0,0 +1,55 @@ +package adpo.analyse; + +import java.util.*; + +public class TableLexeme { + private HashMap table; + private int compteur; + + public TableLexeme() { + table = new HashMap(); + compteur = 0; + } + + public int getId(Lexeme lex) { + Integer tmp = table.get(lex); + if (tmp != null) + return tmp.intValue(); + else + return -1; + } + + public Lexeme getLexeme(int id) { + Lexeme ret = null; + if (this.contientId(id)) { + Map.Entry tmp; + Iterator> it = + table.entrySet().iterator(); + while (it.hasNext()) { + tmp = it.next(); + if (tmp.getValue() == id) { + ret = tmp.getKey(); + break; + } + } + } + return ret; + } + + public boolean contient(Lexeme lex) { + return table.containsKey(lex); + } + + public boolean contientId(int id) { + return table.containsValue(id); + } + + public int ajoutLexeme(Lexeme lex) { + int ret; + if (this.contient(lex)) + ret = table.get(lex).intValue(); + else + table.put(lex,new Integer((ret = compteur++))); + return ret; + } +} diff --git a/fichier b/fichier new file mode 100755 index 0000000..e49bd44 --- /dev/null +++ b/fichier @@ -0,0 +1 @@ +r1() ET r2() => r1() diff --git a/formule/Atome.java b/formule/Atome.java new file mode 100755 index 0000000..ddcf343 --- /dev/null +++ b/formule/Atome.java @@ -0,0 +1,95 @@ +package adpo.formule; + +import java.util.LinkedList; +import java.util.Collection; +import adpo.resolution.Substitution; + +public class Atome extends EnsembleTermes implements Formule, Comparable, Simplifiable { + private boolean neg; + + public Atome(String s) { + super(s); + this.neg = false; + } + + public Formule simplification() { + return simplifier(); + } + + public Atome dupliquer() { + Atome ret = new Atome(this.nom); + ret.neg = this.neg; + ret.termes = new LinkedList(this.termes); + return ret; + } + + public Formule simplifier() { + return dupliquer(); + } + + public void nier(boolean b) { + if (b) + this.neg = !this.neg; + } + + public Formule negation() { + return this; + } + + public Formule skolemiser() { + return this; + } + + public boolean estNegatif() { + return neg; + } + + public boolean estOppose(Atome a) { + return ((this.equals(a)) && (this.neg != a.neg)); + } + + public boolean estEquivalent(Atome a) { + return (this.nom == null ? a.getNom() == null + : this.nom.equals(a.getNom())) + && (this.getTaille() == a.getTaille()); + } + + public int compareTo(Atome a) { + int ret; + if (this.equals(a)) { + if (neg == a.estNegatif()) + ret = 0; + else if (this.neg == false) + ret = 1; + else + ret = -1; + } + else + ret = -2; + return ret; + } + + public void sufixeVariables(String sufix) { + for (Terme t : termes) { + if (t instanceof Variable) + ((Variable) t).setNom(t.getNom() + sufix); + } + } + + public void clotureUniverselle(Collection quantifie, Collection tout) { + for (Terme t : termes) { + if (t instanceof Variable) + tout.add((Variable)t); + } + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + Atome tmp = this.dupliquer(); + sub.applique(tmp); + return tmp; + } + + public String toString() { + return (neg ? "¬":"") + super.toString(); + } +} diff --git a/formule/Binaire.java b/formule/Binaire.java new file mode 100755 index 0000000..82f64b6 --- /dev/null +++ b/formule/Binaire.java @@ -0,0 +1,20 @@ +package adpo.formule; + +public abstract class Binaire extends Connecteur { + protected EG fg; + protected ED fd; + + public Binaire(EG fg, ED fd) { + super(); + this.fg = fg; + this.fd = fd; + } + + public EG getFilsGauche() { + return fg; + } + + public ED getFilsDroit() { + return fd; + } +} diff --git a/formule/BinaireFormule.java b/formule/BinaireFormule.java new file mode 100755 index 0000000..fc5484a --- /dev/null +++ b/formule/BinaireFormule.java @@ -0,0 +1,14 @@ +package adpo.formule; + +import java.util.Collection; + +public abstract class BinaireFormule extends Binaire { + public BinaireFormule(Formule fg, Formule fd) { + super(fg,fd); + } + + public void clotureUniverselle(Collection quantifie, Collection tout) { + fg.clotureUniverselle(quantifie,tout); + fd.clotureUniverselle(quantifie,tout); + } +} diff --git a/formule/Clause.java b/formule/Clause.java new file mode 100755 index 0000000..8db2be9 --- /dev/null +++ b/formule/Clause.java @@ -0,0 +1,187 @@ +package adpo.formule; + +import java.util.List; +import java.util.LinkedList; + +public class Clause { + private LinkedList apositifs; + private LinkedList anegatifs; + + public Clause() { + apositifs = new LinkedList(); + anegatifs = new LinkedList(); + } + + public Clause(Formule f) { + this(); + ajouter(f); + } + + public Clause(Clause c) { + this(); + ajouter(c); + } + + public void ajouter(Formule f) { + /* comme la formule doit etre niee a cette etape : + * si les operateurs Binaires ne sont pas valides, + * on ne fait rien + * les verifications sont faites dans FormeClausale */ + if (f instanceof Ou) { + ajouter(((Ou)f).getFilsGauche()); + ajouter(((Ou)f).getFilsDroit()); + } else if (f instanceof Atome) { + ajouter((Atome) f); + } + } + + public Clause ajouter(Atome a) { + if (a.estNegatif()) { + if (!anegatifs.contains(a)) + anegatifs.add(a); + } else { + if (!apositifs.contains(a)) + apositifs.add(a); + } + return this; + } + + public Clause ajouter(Clause c) { + anegatifs.addAll(c.anegatifs); + apositifs.addAll(c.apositifs); + return this; + } + + public Clause retirerTout(Atome a) { + LinkedList psupprl = new LinkedList(), + nsupprl = new LinkedList(); + for (Atome ai : apositifs) { + if (ai.estEquivalent(a)) + psupprl.add(ai); + } + + for (Atome ai : anegatifs) { + if (ai.estEquivalent(a)) + nsupprl.add(ai); + } + + for (Atome ai : psupprl) + retirer(ai); + + for (Atome ai : nsupprl) + retirer(ai); + + return this; + } + + public Clause retirer(Atome a) { + if (a.estNegatif()) + anegatifs.remove(a); + else + apositifs.remove(a); + return this; + } + + public Clause retirer(List list) { + anegatifs.removeAll(list); + apositifs.removeAll(list); + return this; + } + + public boolean remplacer(Atome ancien, Atome nouveau) { + return (remplacerPos(ancien,nouveau) || remplacerNeg(ancien,nouveau)); + } + + private boolean remplacer(LinkedList list, Atome ancien, Atome nouveau) { + int ind = list.indexOf(ancien); + if (ind >= 0) { + list.set(ind,nouveau); + return true; + } else + return false; + } + + public boolean remplacerPos(Atome ancien, Atome nouveau) { + return remplacer(apositifs,ancien,nouveau); + } + + public boolean remplacerNeg(Atome ancien, Atome nouveau) { + return remplacer(anegatifs,ancien,nouveau); + } + + public boolean contient(Atome a) { + return (apositifs.contains(a) || anegatifs.contains(a)); + } + + public boolean contientPositif(Atome a) { + return apositifs.contains(a); + } + + public boolean contientNegatif(Atome a) { + return anegatifs.contains(a); + } + + public boolean estSimplifiable() { + return (getOpposeIntersection(this).size() > 0); + } + + public List getAtomes() { + List ret = getPositifs(); + ret.addAll(getNegatifs()); + return ret; + } + + public List getPositifs() { + return new LinkedList(apositifs); + } + + public List getNegatifs() { + return new LinkedList(anegatifs); + } + + public List getOpposeIntersection(Clause c) { + LinkedList ret = new LinkedList(); + Atome tmpa; + + for (Atome a: c.apositifs) { + tmpa = getOppose(a); + if (tmpa != null) + ret.add(tmpa); + } + + for (Atome a: c.anegatifs) { + tmpa = getOppose(a); + if (tmpa != null) + ret.add(tmpa); + } + return ret; + } + + public Atome getOppose(Atome a) { + LinkedList oppliste = + (a.estNegatif() ? apositifs : anegatifs); + int ind = oppliste.indexOf(a); + if (ind >= 0) + return oppliste.get(ind); + else + return null; + } + + /* retourne vrai si la clause est un ensemble vide de clauses + * (a ne pas confondre avec la clause vide) + */ + public boolean estVide() { + return ((anegatifs.size() <= 0) && (apositifs.size() <= 0)); + } + + public String toString() { + StringBuffer sb = new StringBuffer(); + for (Atome a: apositifs) + sb.append(a.toString()).append(" OU "); + for (Atome a: anegatifs) + sb.append(a.toString()).append(" OU "); + if (sb.length() >= 4) + sb.delete(sb.length()-4,sb.length()-1); + return sb.toString(); + } +} diff --git a/formule/ClauseVide.java b/formule/ClauseVide.java new file mode 100755 index 0000000..81e97d3 --- /dev/null +++ b/formule/ClauseVide.java @@ -0,0 +1,3 @@ +package adpo.formule; + +public class ClauseVide extends Clause { } diff --git a/formule/Closible.java b/formule/Closible.java new file mode 100755 index 0000000..8d23f97 --- /dev/null +++ b/formule/Closible.java @@ -0,0 +1,8 @@ +package adpo.formule; + +import java.util.Collection; + +public interface Closible { + /* analyse avant cloture universelle */ + public void clotureUniverselle(Collection quantifie, Collection tout); +} diff --git a/formule/Connecteur.java b/formule/Connecteur.java new file mode 100755 index 0000000..b174219 --- /dev/null +++ b/formule/Connecteur.java @@ -0,0 +1,17 @@ +package adpo.formule; + +public abstract class Connecteur implements Formule { + protected boolean neg; + + public Connecteur() { + neg = false; + } + + public Connecteur(boolean b) { + neg = b; + } + + public void nier() { + this.nier(true); + } +} diff --git a/formule/Constante.java b/formule/Constante.java new file mode 100755 index 0000000..63d2dce --- /dev/null +++ b/formule/Constante.java @@ -0,0 +1,19 @@ +package adpo.formule; + +public class Constante extends Ensemble implements Terme { + public Constante(String s) { + super(s); + } + + public Terme[] getTermes() { + Terme[] ret = { this }; + return ret; + } + + public boolean estEquivalent(Terme t) { + if (t instanceof Constante) + return this.equals((Constante)t); + else + return false; + } +} diff --git a/formule/Ensemble.java b/formule/Ensemble.java new file mode 100755 index 0000000..843dcba --- /dev/null +++ b/formule/Ensemble.java @@ -0,0 +1,29 @@ +package adpo.formule; + +public abstract class Ensemble { + protected String nom; + + public Ensemble(String s) { + this.nom = s; + } + + public String getNom() { + return nom; + } + + public void setNom(String s) { + nom = s; + } + + public boolean equals(Object o) { + if (o instanceof Ensemble) { + return (this.nom == null ? ((Ensemble)o).getNom() == null + : this.nom.equals(((Ensemble)o).getNom())); + } else + return false; + } + + public String toString() { + return nom; + } +} diff --git a/formule/EnsembleTermes.java b/formule/EnsembleTermes.java new file mode 100755 index 0000000..67e392c --- /dev/null +++ b/formule/EnsembleTermes.java @@ -0,0 +1,76 @@ +package adpo.formule; + +import java.util.LinkedList; +import java.util.Iterator; + +public abstract class EnsembleTermes extends Ensemble { + protected LinkedList termes; + + public EnsembleTermes(String s) { + super(s); + termes = new LinkedList(); + } + + public EnsembleTermes(String s, Terme t) { + this(s); + ajouter(t); + } + + public void ajouter(Terme t) { + termes.add(t); + } + + public void ajouterTout(EnsembleTermes et) { + termes.addAll(et.termes); + } + + public Terme[] getTermes() { + /* return (Terme[]) termes.toArray(); */ + Terme[] ret = new Terme[termes.size()]; + for (int i = 0; i < ret.length; i++) + ret[i] = termes.get(i); + return ret; + } + + public void setTerme(int ind, Terme t) { + termes.set(ind,t); + } + + public int getTaille() { + return termes.size(); + } + + public boolean contient(Terme t) { + return termes.contains(t); + } + + public boolean equals(Object o) { + if ((super.equals(o)) && (o instanceof EnsembleTermes)) { + Iterator itt = termes.iterator(), + ito = ((EnsembleTermes)o).termes.iterator(); + boolean ret = true; + + while ((itt.hasNext()) && (ret)) { + if (ito.hasNext()) + ret = (itt.next().equals(ito.next())); + else + ret = false; + } + return ret; + } else + return false; + } + + public String toString() { + StringBuffer sb = new StringBuffer(); + sb.append(super.toString()).append("("); + if (termes.size() <= 0) + sb.append(" "); + else { + for (Terme t : termes) + sb.append(t.toString()).append(","); + } + sb.append("\010)"); + return sb.toString(); + } +} diff --git a/formule/Et.java b/formule/Et.java new file mode 100755 index 0000000..867c184 --- /dev/null +++ b/formule/Et.java @@ -0,0 +1,63 @@ +package adpo.formule; + +import adpo.resolution.FormeClausale; +import adpo.resolution.Substitution; +import java.util.Collection; + +public class Et extends BinaireFormule implements OperateurClausal { + public Et(Formule fg, Formule fd) { + super(fg,fd); + } + + public Formule simplification() { + Formule fgs = fg.simplification(), fds = fd.simplification(); + if ((fgs instanceof Faux) || (fds instanceof Faux)) + return new Faux(); + if (fgs instanceof Vrai) + return fds; + if (fds instanceof Vrai) + return fgs; + return new Et(fgs,fds); + } + + public void nier(boolean b) { + this.neg = b; + if (b) { + fg.nier(true); + fd.nier(true); + } else { + fg.nier(false); + fd.nier(false); + } + } + + public Formule negation() { + if (neg) + return new Ou(fg.negation(),fd.negation()); + else + return new Et(fg.negation(),fd.negation()); + } + + public FormeClausale formeClausale() { + FormeClausale ret = new FormeClausale(); + if (fg instanceof Atome) { + ret.ajouter(new Clause(fg)); + } else if (fg instanceof OperateurClausal) { + ret.ajouter(((OperateurClausal)fg).formeClausale()); + } + if (fd instanceof Atome) { + ret.ajouter(new Clause(fd)); + } else if (fd instanceof OperateurClausal) { + ret.ajouter(((OperateurClausal)fd).formeClausale()); + } + return ret; + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + return new Et(fg.skolemiser(quantifie,sub),fd.skolemiser(quantifie,sub)); + } + + public String toString() { + return "[" + fg + " ET " + fd + "]"; + } +} diff --git a/formule/Faux.java b/formule/Faux.java new file mode 100755 index 0000000..2b4e1f0 --- /dev/null +++ b/formule/Faux.java @@ -0,0 +1,39 @@ +package adpo.formule; + +import java.util.Collection; +import adpo.resolution.Substitution; + +public class Faux extends Connecteur implements Simplifiable { + public Faux() { + } + + public Formule simplification() { + return simplifier(); + } + + public Formule simplifier() { + return this; + } + + public void nier(boolean b) { + this.neg = b; + } + + public Formule negation() { + if (neg) + return new Vrai(); + else + return this; + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + return this; + } + + public void clotureUniverselle(Collection quantifie, Collection tout) { + } + + public String toString() { + return "FAUX"; + } +} diff --git a/formule/Fonction.java b/formule/Fonction.java new file mode 100755 index 0000000..9549770 --- /dev/null +++ b/formule/Fonction.java @@ -0,0 +1,16 @@ +package adpo.formule; + +public class Fonction extends EnsembleTermes implements Terme { + public Fonction(String s) { + super(s); + } + + public boolean estEquivalent(Terme t) { + if (t instanceof Fonction) { + return (this.nom == null ? t.getNom() == null + : this.nom.equals(t.getNom())) + && (this.getTaille() == ((Fonction)t).getTaille()); + } else + return false; + } +} diff --git a/formule/Formule.java b/formule/Formule.java new file mode 100755 index 0000000..8b9c821 --- /dev/null +++ b/formule/Formule.java @@ -0,0 +1,17 @@ +package adpo.formule; + +import adpo.resolution.Substitution; +import java.util.Collection; + +public interface Formule extends Closible { + /* simplification, suppression des FAUX et VRAI */ + /* ATTENTION : la simplificaiton ne dois pas être appliquée sur + * une formule niee */ + public Formule simplification(); + /* descente des negations */ + public void nier(boolean b); + /* mise a jour de la formule avec les operateurs nies */ + public Formule negation(); + /* skolemisation de la formule */ + public Formule skolemiser(Collection quantifie, Substitution sub); +} diff --git a/formule/IlExiste.java b/formule/IlExiste.java new file mode 100755 index 0000000..06a6472 --- /dev/null +++ b/formule/IlExiste.java @@ -0,0 +1,51 @@ +package adpo.formule; + +import java.util.Collection; +import adpo.resolution.Substitution; + +public class IlExiste extends Binaire { + public IlExiste(Variable v, Formule f) { + super(v,f); + } + + public Formule simplification() { + return new IlExiste(fg,fd.simplification()); + } + + public void nier(boolean b) { + this.neg = b; + fd.nier(this.neg); + } + + public Formule negation() { + if (neg) + return new PourTout(fg,fd.negation()); + else + return new IlExiste(fg,fd.negation()); + } + + public void clotureUniverselle(Collection quantifie, Collection tout) { + quantifie.add(fg); + fd.clotureUniverselle(quantifie,tout); + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + Formule ret; + Substitution.Couple couple; + Fonction fonct; + + fonct = new Fonction(Skolemisation.getFonctionId()); + for (Variable v : quantifie) + fonct.ajouter(v); + couple = new Substitution.Couple(fg,fonct); + + sub.ajouter(couple); + ret = fd.skolemiser(quantifie,sub); + sub.retirer(couple); + return ret; + } + + public String toString() { + return "(E" + fg + ")[" + fd + "]"; + } +} diff --git a/formule/Implique.java b/formule/Implique.java new file mode 100755 index 0000000..85e6449 --- /dev/null +++ b/formule/Implique.java @@ -0,0 +1,47 @@ +package adpo.formule; + +import adpo.resolution.Substitution; +import java.util.Collection; + +public class Implique extends BinaireFormule { + public Implique(Formule fg, Formule fd) { + super(fg,fd); + } + + public Formule simplification() { + Formule fgs = fg.simplification(), fds = fd.simplification(); + if ((fgs instanceof Faux) || (fds instanceof Vrai)) + return new Vrai(); + if (fgs instanceof Vrai) + return fds; + if (fds instanceof Faux) + return fgs; + return new Implique(fgs,fds); + } + + public void nier(boolean b) { + this.neg = b; + if (b) { + fg.nier(false); + fd.nier(true); + } else { + fg.nier(true); + fd.nier(false); + } + } + + public Formule negation() { + if (neg) + return new Et(fg.negation(),fd.negation()); + else + return new Ou(fg.negation(),fd.negation()); + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + return new Et(fg.skolemiser(quantifie,sub),fd.skolemiser(quantifie,sub)); + } + + public String toString() { + return fg + " => " + fd; + } +} diff --git a/formule/Non.java b/formule/Non.java new file mode 100755 index 0000000..fd936b2 --- /dev/null +++ b/formule/Non.java @@ -0,0 +1,46 @@ +package adpo.formule; + +import adpo.resolution.Substitution; +import java.util.Collection; + +public class Non extends UnaireFormule { + public Non(Formule fils) { + super(fils); + } + + public Formule simplification() { + Formule filss = fils.simplification(); + if (filss instanceof Vrai) + return new Faux(); + if (filss instanceof Faux) + return new Faux(); + filss.nier(true); + return filss; + } + + public Formule skolemiser() { + return this; + } + + public void nier(boolean b) { + this.neg = b; + fils.nier(!neg); + } + + public Formule negation() { + /* if (neg) */ + return fils.negation(); + /* + else + return new Non(fils.negation()); + */ + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + return new Non(fils.skolemiser(quantifie,sub)); + } + + public String toString() { + return " NON " + fils; + } +} diff --git a/formule/OperateurClausal.java b/formule/OperateurClausal.java new file mode 100755 index 0000000..8d6b04e --- /dev/null +++ b/formule/OperateurClausal.java @@ -0,0 +1,7 @@ +package adpo.formule; + +import adpo.resolution.FormeClausale; + +public interface OperateurClausal { + public FormeClausale formeClausale(); +} diff --git a/formule/Ou.java b/formule/Ou.java new file mode 100755 index 0000000..07d9533 --- /dev/null +++ b/formule/Ou.java @@ -0,0 +1,83 @@ +package adpo.formule; + +import adpo.resolution.FormeClausale; +import adpo.resolution.Substitution; +import java.util.Collection; + +public class Ou extends BinaireFormule implements OperateurClausal { + public Ou(Formule fg, Formule fd) { + super(fg,fd); + } + + public Formule simplification() { + Formule fgs = fg.simplification(), fds = fd.simplification(); + if ((fgs instanceof Vrai) || (fds instanceof Vrai)) + return new Vrai(); + if (fgs instanceof Faux) + return fds; + if (fds instanceof Faux) + return fgs; + return new Ou(fgs,fds); + } + + public void nier(boolean b) { + this.neg = b; + if (b) { + fg.nier(true); + fd.nier(true); + } else { + fg.nier(false); + fd.nier(false); + } + } + + public Formule negation() { + if (neg) + return new Et(fg.negation(),fd.negation()); + else + return new Ou(fg.negation(),fd.negation()); + } + + public FormeClausale formeClausale() { + FormeClausale ret = new FormeClausale(); + if ((fg instanceof OperateurClausal) + && (fd instanceof OperateurClausal)) { + return (((OperateurClausal)fg).formeClausale() + ).getComposition(((OperateurClausal)fd + ).formeClausale()); + } + + if ((fg instanceof Atome) && (fd instanceof Atome)) { + if (((Atome)fg).estOppose((Atome)fd)) + return ret; + else + return ret.ajouter(new Clause(this)); + } + + if (fg instanceof Atome) + ret.ajouter(new Clause(fg)); + + if (fd instanceof Atome) + ret.ajouter(new Clause(fd)); + + if (fg instanceof OperateurClausal) { + return ret.getComposition( + ((OperateurClausal)fg).formeClausale()); + } + + if (fg instanceof OperateurClausal) { + return ret.getComposition( + ((OperateurClausal)fg).formeClausale()); + } + + return ret; + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + return new Ou(fg.skolemiser(quantifie,sub),fd.skolemiser(quantifie,sub)); + } + + public String toString() { + return "{" + fg + " OU " + fd + "}"; + } +} diff --git a/formule/PourTout.java b/formule/PourTout.java new file mode 100755 index 0000000..43a2ab0 --- /dev/null +++ b/formule/PourTout.java @@ -0,0 +1,43 @@ +package adpo.formule; + +import java.util.Collection; +import adpo.resolution.Substitution; + +public class PourTout extends Binaire { + public PourTout(Variable v, Formule f) { + super(v,f); + } + + public Formule simplification() { + return new PourTout(fg,fd.simplification()); + } + + public void nier(boolean b) { + this.neg = b; + fd.nier(this.neg); + } + + public Formule negation() { + if (neg) + return new IlExiste(fg,fd.negation()); + else + return new PourTout(fg,fd.negation()); + } + + public void clotureUniverselle(Collection quantifie, Collection tout) { + quantifie.add(fg); + fd.clotureUniverselle(quantifie,tout); + } + + public String toString() { + return "(A" + fg + ")[" + fd + "]"; + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + Formule ret; + quantifie.add(fg); + ret = fd.skolemiser(quantifie,sub); + quantifie.remove(fg); + return ret; + } +} diff --git a/formule/Simplifiable.java b/formule/Simplifiable.java new file mode 100755 index 0000000..a7f52aa --- /dev/null +++ b/formule/Simplifiable.java @@ -0,0 +1,6 @@ +package adpo.formule; + +public interface Simplifiable { + /* il faudra bien faire attention aux attributs neg des classes */ + public Formule simplifier(); +} diff --git a/formule/Skolemisation.java b/formule/Skolemisation.java new file mode 100755 index 0000000..2eb20a3 --- /dev/null +++ b/formule/Skolemisation.java @@ -0,0 +1,9 @@ +package adpo.formule; + +public class Skolemisation { + public static int compteur = 0; + + public static String getFonctionId() { + return "U" + compteur++; + } +} diff --git a/formule/Terme.java b/formule/Terme.java new file mode 100755 index 0000000..d701078 --- /dev/null +++ b/formule/Terme.java @@ -0,0 +1,7 @@ +package adpo.formule; + +public interface Terme { + public String getNom(); + public Terme[] getTermes(); + public boolean estEquivalent(Terme t); +} diff --git a/formule/Unaire.java b/formule/Unaire.java new file mode 100755 index 0000000..c48587a --- /dev/null +++ b/formule/Unaire.java @@ -0,0 +1,14 @@ +package adpo.formule; + +public abstract class Unaire extends Connecteur { + protected E fils; + + public Unaire(E fils) { + super(); + this.fils = fils; + } + + public E getFils() { + return fils; + } +} diff --git a/formule/UnaireFormule.java b/formule/UnaireFormule.java new file mode 100755 index 0000000..d5e6727 --- /dev/null +++ b/formule/UnaireFormule.java @@ -0,0 +1,13 @@ +package adpo.formule; + +import java.util.Collection; + +public abstract class UnaireFormule extends Unaire { + public UnaireFormule(Formule f) { + super(f); + } + + public void clotureUniverselle(Collection quantifie, Collection tout) { + fils.clotureUniverselle(quantifie,tout); + } +} diff --git a/formule/Variable.java b/formule/Variable.java new file mode 100755 index 0000000..e303b27 --- /dev/null +++ b/formule/Variable.java @@ -0,0 +1,19 @@ +package adpo.formule; + +public class Variable extends Ensemble implements Terme { + public Variable(String s) { + super(s); + } + + public Terme[] getTermes() { + Terme[] ret = { this }; + return ret; + } + + public boolean estEquivalent(Terme t) { + if (t instanceof Variable) + return this.equals((Variable)t); + else + return false; + } +} diff --git a/formule/Vrai.java b/formule/Vrai.java new file mode 100755 index 0000000..42e14ba --- /dev/null +++ b/formule/Vrai.java @@ -0,0 +1,39 @@ +package adpo.formule; + +import java.util.Collection; +import adpo.resolution.Substitution; + +public class Vrai extends Connecteur implements Simplifiable { + public Vrai() { + } + + public Formule simplification() { + return simplifier(); + } + + public Formule simplifier() { + return this; + } + + public void nier(boolean b) { + this.neg = b; + } + + public Formule negation() { + if (neg) + return new Faux(); + else + return this; + } + + public Formule skolemiser(Collection quantifie, Substitution sub) { + return this; + } + + public void clotureUniverselle(Collection quantifie, Collection tout) { + } + + public String toString() { + return " VRAI "; + } +} diff --git a/readme b/readme new file mode 100755 index 0000000..7140528 --- /dev/null +++ b/readme @@ -0,0 +1,122 @@ +/* Travail de Luc Sarzyniec et Rémi Meresse 1Agr4 utilisant java 1.5 */ + +--Étape 1--- +usage : java adpo.test.Test ... + +Exemple d'utilisation : java adpo.test.Test "r0()" "r0() OU r1()" "r1()" + +[Dans notre exemple, { formule0, NON formule1, formule2 } entreront en +résolution] + +Les classes importantes pour le traitement de l'étape 1 sont : + * adpo.formule.Formule + * adpo.formule.Clause + * adpo.resolution.ClauseResolution + +Comme pour le moment la négation n'est pas implantée correctement (on ne traite +que des clauses), pour pouvoir tout de même tester le système de résolution basé +sur les clauses, nous inverseront tous les formules d'indice impair. + +Par manque de précisions dans le sujet, nous avons implantés une table d'Analyse +pour l'analyse lexicale. + +Pour le moment il n'est pas possible de lire à partir d'un fichier. + +La descente des négations est déjà implantée, il manque la remontée des clauses, +la skolemisation, le traitement des quantifieurs et le système de formel de +Robinson. Pour l'instant les Atomes sont des relations vides positives ou +négatives. + + +---Étape 2--- +usage: java fichierMain -e "" + java fichierMain [-f] + +Exemples d'utilisation : java adpo.test.TestResolution fichier + java adpo.test.TestFormule -e "r1() ET r2() => r1()" + java adpo.test.Tests -f fichier + +Les classes de tests executables sont les suivantes : + * adpo.test.TestAnalyse + * adpo.test.TestFormule + * adpo.test.TestResolution + * adpo.test.Tests (execute tous les tests) + +Les classes importantes pour le traitement de l'étape 2 sont : + * adpo.formule.Clause + * adpo.formule.FormeClausale + * adpo.resolution.ClauseResolution + +Vous pourrez remarquer que nous avons ajouté une méthode simplification() à +l'interface adpo.formule.Formule, elle permet de simplifier une Formule en +simplifiant les opérations portant sur VRAI et FAUX. + +Pour l'instant nous n'avons toujours pas implémenté le programme principal, +pour les tests, il faut passer par les classes de tests. + + +---Étape 3--- +usage: java fichierMain -e "" + java fichierMain [-f] + +Exemples d'utilisation : java adpo.test.TestAnalyse fichier + java adpo.test.TestRobinsonResolution -e "(r1(a) ET + r1(x) ET r3(x,b)) OU NON r2(x) OU (NON r3(c,y) + ET r2(c))" + java adpo.test.Tests -f fichier + +Les classes de tests executables sont les suivantes : + * adpo.test.TestAnalyse + * adpo.test.TestFormule + * adpo.test.TestResolution + * adpo.test.TestRobinsonResolution + * adpo.test.TestClauseResolution + * adpo.test.Tests (execute tous les tests) + +Les classes importantes pour le traitement de l'étape 3 sont : + * adpo.formule.EnsembleTerme + * adpo.formule.Variable, adpo.formule.Constante, adpo.formule.Fonction + * adpo.resolution.Substitution + * adpo.resolution.Unification + * adpo.resolution.RobinsonResolution + +Atome et Fonction héritent tous les deux de la classe abstraite EnsembleTerme +qui permet de traiter plus aisement les ensembles de Termes (interface qui est +implémentée par Variable, Constante et Fonction). + +La classe Substitution permet de stocker un ensemble de règles de substitutions +ainsi que de les appliquer à un Atome. +La classe Unification permet quand à elle d'unifier deux Atomes (si cela est +possible) en utilisant toutes la méthode conseillée par nos enseignants. +Les substitutions semblent être faites convenablement, y compris dans les +groupes de termes. + +La classe RobinsonResolution est fonctionelle et permet d'appliquer la méthode +de Robinson pour montrer qu'une formule est un théorême de la logique du premier +ordre. +Tous les choix sont fait de manières interactive, ainsi l'utilisateur +choisi la rêgle à appliquer, il détermine ensuite sur quelle clause(s) +l'appliquer, enfin il a le choix de la substitution à appliquer. + +Pour l'instant nous n'avons toujours pas implémenté le programme principal, +pour les tests, il faut passer par les classes de tests. + +---Étape 4--- +Exemples d'utilisation : java adpo.Main fichier + java adpo.Main -e "Axp(x) => Eyp(y)" + java adpo.Main -f fichier + +Les classes importantes pour le traitement de l'étape 4 sont : + * adpo.formule.IlExite, adpo.formule.PourTout + * adpo.resolution.FormeClausale + * adpo.formule.Closible + +Les classes IlExiste et PourTout nous ont permis d'implémenter les quantifieurs. +Ces deux classes implémentent l'interface Formule, plus précisément la classe +abstraite Binaire pour laquelle nous utilisons maintenant la généricité. Ainsi, +IlExiste et PourTout étendent Binaire, nous en avons profité +pour transformer Unaire de la même façon. + +On a implémenté la cloture universelle à l'aide de l'interface Closible. +La skolemisation est implémentée grâce à une méthode de l'interface Formule. +On a ajouté le programme principal dans la classe Main. diff --git a/resolution/ClauseResolution.java b/resolution/ClauseResolution.java new file mode 100755 index 0000000..0db895d --- /dev/null +++ b/resolution/ClauseResolution.java @@ -0,0 +1,65 @@ +package adpo.resolution; + +import adpo.formule.*; +import java.util.List; + +public class ClauseResolution extends Resolution { + public ClauseResolution(FormeClausale fc) { + super(fc); + } + + public Clause resoudre() { + if (clauses.size() == 1) + return clauses.get(0); + if (clauses.size() <= 0) + return null; + + Clause c1 = null, c2 = null,ret = null; + int choix; + + afficherSysteme(); + while ((!(ret instanceof ClauseVide)) && (clauses.size() > 1)) { + afficherClauses(); + choix = lireChoixClause("<-Numero de la première clause" + + " à faire rentrer en résolution: "); + if (choix != 0) { + c1 = clauses.get(choix-1); + choix = lireChoixClause("<-Numero de la seconde" + + "clause à faire rentrer en résolution: "); + } + + if (choix == 0) + return ret; + + c2 = clauses.get(choix-1); + + if (regleRes(c1,c2)) + ret = new ClauseVide(); + } + + return ret; + } + + private boolean regleRes(Clause c1, Clause c2) { + List oppinter; + oppinter = c1.getOpposeIntersection(c2); + + if (oppinter.size() > 0) { + c1.retirer(oppinter); + c2.retirer(oppinter); + c1.ajouter(c2); + clauses.remove(c2); + if (c1.estVide()) + return true; + } + return false; + } + + public void afficherSysteme() { + System.out.println("-> Utilisation du système formel basé sur des clauses"); + System.out.println("F = (C(P),0,res)"); + System.out.println("* res: (c1 OU r OU c2 ; c3 OU ¬r OU c4)" + + " -> c1 OU c2 OU c3 OU c4"); + System.out.println(); + } +} diff --git a/resolution/FormeClausale.java b/resolution/FormeClausale.java new file mode 100755 index 0000000..e199b65 --- /dev/null +++ b/resolution/FormeClausale.java @@ -0,0 +1,114 @@ +package adpo.resolution; + +import adpo.formule.*; +import java.util.List; +import java.util.LinkedList; + +public class FormeClausale { + private LinkedList clauses; + + public FormeClausale() { + clauses = new LinkedList(); + } + + public FormeClausale(Clause c) { + this(); + ajouter(c); + } + + public FormeClausale(Formule f) { + this(); + ajouter(f); + } + + /* ajouter une conjonction d'une clause */ + public FormeClausale ajouter(Clause c) { + clauses.add(c); + return this; + } + + public FormeClausale ajouter(Formule f) { + LinkedList quantifie,tout; + Substitution sub; + + /* simplification de la formule */ + f = f.simplification(); + + /* cloture universelle */ + quantifie = new LinkedList(); + tout = new LinkedList(); + f.clotureUniverselle(quantifie,tout); + + tout.removeAll(quantifie); + for (Variable v : tout) + f = new PourTout(v,f); + /* negation et descente des negations */ + f.nier(true); + f = f.negation(); + + /* skolemisation de la formule */ + quantifie = new LinkedList(); + sub = new Substitution(); + f = f.skolemiser(quantifie,sub); + + if (f instanceof OperateurClausal) + clauses = ((OperateurClausal)f).formeClausale().clauses; + else + return null; + /* ajouter(new Clause(f)); */ + renommeVariables(); + return this.simplifier(); + } + + public void renommeVariables() { + int i = 0; + for (Clause c : clauses) { + for (Atome a : c.getAtomes()) + a.sufixeVariables(i + ""); + i++; + } + } + + public void ajouter(FormeClausale fc) { + this.clauses.addAll(fc.clauses); + } + + public FormeClausale getComposition(FormeClausale fc) { + FormeClausale ret = new FormeClausale(); + for (Clause c : fc.clauses) { + ret.ajouter(getComposition(c)); + } + return ret; + } + + public FormeClausale simplifier() { + LinkedList suppr = new LinkedList(); + for (Clause c : clauses) { + if (c.estSimplifiable()) + suppr.add(c); + } + for (Clause c : suppr) + clauses.remove(c); + return this; + } + + public FormeClausale getComposition(Clause c) { + FormeClausale ret = new FormeClausale(); + for (Clause c1 : this.clauses) { + ret.ajouter((new Clause(c1)).ajouter(c)); + } + return ret; + } + + /* Attention aux effets de bords */ + public List getClauses() { + return clauses; + } + + public String toString() { + StringBuffer sb = new StringBuffer(); + for (Clause c: clauses) + sb.append("| ").append(c.toString()).append("\n"); + return sb.toString(); + } +} diff --git a/resolution/Resolution.java b/resolution/Resolution.java new file mode 100755 index 0000000..cb639c8 --- /dev/null +++ b/resolution/Resolution.java @@ -0,0 +1,55 @@ +package adpo.resolution; + +import adpo.formule.*; + +import java.util.LinkedList; +import java.io.InputStreamReader; +import java.io.BufferedReader; +import java.io.IOException; + +public abstract class Resolution { + protected LinkedList clauses; + + public Resolution(FormeClausale fc) { + clauses = new LinkedList(fc.getClauses()); + } + + public abstract Clause resoudre(); + public abstract void afficherSysteme(); + + public void afficherClauses() { + System.out.println("-> Clauses actuellement en résolution:"); + for (int i = 0; i < clauses.size(); i++) + System.out.println((i+1) + "| " + clauses.get(i)); + System.out.println("(0 pour arreter)\n"); + } + + protected int lireChoix(String message, int binf, int bsup) { + BufferedReader in = new BufferedReader( + new InputStreamReader(System.in)); + int choix = -1; + String schoix = null; + + while ((choix < binf) || (choix > bsup)) { + System.out.print(message); + try { + schoix = in.readLine(); + } catch (IOException ioe) { + System.err.println("Erreur d'entrée/sorties"); + System.exit(1); + } + try { + choix = Integer.parseInt(schoix);; + } catch (NumberFormatException nfe) { + System.out.println("Mauvaise saisie"); + } + if ((choix < 0) || (choix > clauses.size())) + System.out.println("Numero invalide"); + } + return choix; + } + + protected int lireChoixClause(String message) { + return lireChoix(message,0,clauses.size()); + } +} diff --git a/resolution/RobinsonResolution.java b/resolution/RobinsonResolution.java new file mode 100755 index 0000000..d459a6b --- /dev/null +++ b/resolution/RobinsonResolution.java @@ -0,0 +1,223 @@ +package adpo.resolution; + +import adpo.formule.*; +import java.util.LinkedList; + +public class RobinsonResolution extends Resolution { + private class Couple { + private Atome a1, a2; + private Substitution sub; + public Couple(Atome a1, Atome a2, Substitution s) { + this.a1 = a1; + this.a2 = a2; + this.sub = s; + } + + public Atome getAtome1() { + return a1; + } + + public Atome getAtome2() { + return a2; + } + + public Substitution getSubstitution() { + return sub; + } + + public String toString() { + return "[" + a1 + "," + a2 + "] " + sub; + } + } + + public RobinsonResolution(FormeClausale fc) { + super(fc); + } + + private int choixSubstitution(LinkedList unipos) { + int ret; + if (unipos.size() <= 0) { + System.out.println("\n-> Pas d'unification" + + " possible entre ces deux règles."); + return -1; + } + System.out.println("-> Liste des substitutions" + + " possibles:"); + ret = 1; + for (Couple c : unipos) + System.out.println("[" + ret++ + "]" + c); + ret = lireChoix("<- Substitution à appliquer: " + ,1, unipos.size()); + return ret; + } + + public Clause resoudre() { + if (clauses.size() == 1) + return clauses.get(0); + if (clauses.size() <= 0) + return null; + + Clause ret = null, c1 = null, c2 = null; + Couple tmp = null; + LinkedList unipos; + int choix; + + afficherSysteme(); + + while ((!(ret instanceof ClauseVide)) && (clauses.size() > 1)) { + System.out.println("\n---"); + afficherClauses(); + choix = lireChoix("<- Numero de la règle à utiliser: ",0,3); + if (choix == 0) + return ret; + else if (choix == 3) { + choix = lireChoixClause("<- Première clause sur" + + " laquelle appliquer la règle: "); + c1 = clauses.get(choix-1); + + choix = lireChoixClause("<- Seconde clause sur" + + " laquelle appliquer la règle: "); + c2 = clauses.get(choix-1); + + unipos = regleRes(c1,c2); + choix = choixSubstitution(unipos); + + if (choix < 0) + continue; + + tmp = unipos.get(choix-1); + + c1.retirerTout(tmp.getAtome1()); + if (tmp.getSubstitution() != null) { + for (Atome a : c1.getAtomes()) + tmp.getSubstitution().applique(a); + } + + c2.retirerTout(tmp.getAtome2()); + if (tmp.getSubstitution() != null) { + for (Atome a : c2.getAtomes()) + tmp.getSubstitution().applique(a); + } + + c1.ajouter(c2); + clauses.remove(c2); + if ((c1.estVide()) && (c2.estVide())) + ret = new ClauseVide(); + else if (c1.estVide()) + clauses.remove(c1); + else if (c2.estVide()) + clauses.remove(c2); + } else { + c1 = clauses.get( + lireChoixClause("<- Clause sur laquelle" + + " appliquer la règle: ")-1 + ); + if (choix == 1) + unipos = regleFacPlus(c1); + else + unipos = regleFacMoins(c1); + + choix = choixSubstitution(unipos); + + if (choix < 0) + continue; + + tmp = unipos.get(choix-1); + + c1.retirerTout(tmp.getAtome1()); + c1.ajouter(tmp.getAtome1()); + if (tmp.getSubstitution() != null) { + for (Atome a : c1.getAtomes()) + tmp.getSubstitution().applique(a); + } + + if (c1.estVide()) + clauses.remove(c1); + } + + } + return ret; + } + + private LinkedList regleFacPlus(Clause c) { + Unification u; + LinkedList ret = new LinkedList(); + + for (Atome a1 : c.getPositifs()) { + for (Atome a2 : c.getPositifs()) { + if (a1 != a2) { + if (a1.equals(a2)) + ret.add(new Couple(a1,a2,null)); + else { + u = new Unification(a1,a2); + if (u.unifier()) + ret.add(new Couple(a1,a2,u.getSubstitution())); + } + } + } + } + return ret; + } + + private LinkedList regleFacMoins(Clause c) { + Unification u; + LinkedList ret = new LinkedList(); + + for (Atome a1 : c.getNegatifs()) { + for (Atome a2 : c.getNegatifs()) { + if (a1 != a2) { + if (a1.equals(a2)) + ret.add(new Couple(a1,a2,null)); + else { + u = new Unification(a1,a2); + if (u.unifier()) + ret.add(new Couple(a1,a2,u.getSubstitution())); + } + } + } + } + return ret; + } + + private LinkedList regleRes(Clause c1, Clause c2) { + Unification u; + LinkedList ret = new LinkedList(); + for (Atome a1 : c1.getPositifs()) { + for (Atome a2 : c2.getNegatifs()) { + if (a1.equals(a2)) + ret.add(new Couple(a1,a2,null)); + else { + u = new Unification(a1,a2); + if (u.unifier()) + ret.add(new Couple(a1,a2,u.getSubstitution())); + } + } + } + + for (Atome a1 : c1.getNegatifs()) { + for (Atome a2 : c2.getPositifs()) { + if (a1.equals(a2)) + ret.add(new Couple(a1,a2,null)); + else { + u = new Unification(a1,a2); + if (u.unifier()) + ret.add(new Couple(a1,a2,u.getSubstitution())); + } + } + } + + return ret; + } + + public void afficherSysteme() { + System.out.println("Utilisation du système formel de Robinson"); + System.out.println("F = (cl(L),0,R={fac+,fac-,res})"); + System.out.println("*[1] fac-: A OU NON a1 OU NON a2" + + " -> sigma(A) OU sigma(NON a1)"); + System.out.println("*[2] fac+: A OU a1 OU a2" + + " -> sigma(A) OU sigma(a1)"); + System.out.println("*[3] res: a1 OU A ; NON a2 OU B" + + " -> sigma(A) OU sigma(B) avec [sigma(a1) = sigma(a2)]"); + System.out.println(); + } +} diff --git a/resolution/Substitution.java b/resolution/Substitution.java new file mode 100755 index 0000000..911fba7 --- /dev/null +++ b/resolution/Substitution.java @@ -0,0 +1,118 @@ +package adpo.resolution; + +import adpo.formule.*; +import java.util.LinkedList; +import java.util.*; + +public class Substitution { + public static class Couple { + protected Variable v; + protected Terme t; + + public Couple(Variable v, Terme t) { + this.v = v; + this.t = t; + } + + public Terme getTerme() { + return t; + } + + public Terme getVariable() { + return v; + } + + public void setTerme(Terme t) { + this.t = t; + } + + public void setVariable(Variable v) { + this.v = v; + } + + public boolean equals(Object o) { + if (o instanceof Couple) { + return this.v.equals(((Couple)o).v) + && this.t.equals(((Couple)o).t); + } else + return false; + } + + public String toString() { + return v.toString() + "=" + t.toString(); + } + } + + private LinkedList substitutions; + + public Substitution() { + substitutions = new LinkedList(); + } + + public Substitution(Variable v, Terme t) { + this(); + ajouter(v,t); + } + + public void ajouter(Couple c) { + if (!contient(c)) + substitutions.add(c); + } + + public void ajouter(Variable v, Terme t) { + ajouter(new Couple(v,t)); + } + + public void retirer(Couple c) { + substitutions.remove(c); + } + + public boolean contient(Couple c) { + return substitutions.contains(c); + } + + public boolean contientVariable(Variable v) { + for (Couple c: substitutions) { + if (c.getVariable().equals(v)) + return true; + } + return false; + } + + public boolean estVide() { + return (substitutions.size() <= 0); + } + + public List getSubstitutions() { + return new LinkedList(substitutions); + } + + public Terme getSubstitution(Variable v) { + for (Couple c : substitutions) { + if (c.getVariable().equals(v)) + return c.getTerme(); + } + return null; + } + + public void applique(EnsembleTermes et) { + Terme[] ts = et.getTermes(); + Terme tmp; + for (int i = 0; i < ts.length; i++) { + if (ts[i] instanceof Variable) { + tmp = getSubstitution((Variable)ts[i]); + if (tmp != null) + et.setTerme(i,tmp); + } else if (ts[i] instanceof EnsembleTermes) + applique((EnsembleTermes)ts[i]); + } + } + + public String toString() { + StringBuffer sb = new StringBuffer("Sigma = {"); + for (Couple c : substitutions) + sb.append(c.toString()).append(","); + sb.append((substitutions.size() > 0 ? "\010" : "") + "}"); + return sb.toString(); + } +} diff --git a/resolution/Unification.java b/resolution/Unification.java new file mode 100755 index 0000000..a41c849 --- /dev/null +++ b/resolution/Unification.java @@ -0,0 +1,305 @@ +package adpo.resolution; + +import adpo.formule.*; +import java.util.LinkedList; + +public class Unification { + private class Couple { + protected Terme tg, td; + protected Substitution.Couple c; + + public Couple(Terme t1, Terme t2) { + this.tg = t1; + this.td = t2; + this.c = null; + } + + public Couple(Substitution.Couple c) { + this.c = c; + } + + public Couple(Variable v, Terme t) { + this.c = new Substitution.Couple(v,t); + } + + public Terme getTermeG() { + return tg; + } + + public Terme getTermeD() { + return td; + } + + public Terme getTerme() { + return (c == null ? null : c.getTerme()); + } + + public Terme getVariable() { + return (c == null ? null : c.getVariable()); + } + + public Substitution.Couple getCouple() { + return c; + } + + public void setTermeG(Terme t) { + tg = t; + } + + public void setTermeD(Terme t) { + td = t; + } + + public void setCouple(Substitution.Couple c) { + this.c = c; + } + + public void setCouple(Variable v, Terme t) { + this.c = new Substitution.Couple(v,t); + } + } + + public static class UnificationEchecException extends Exception { } + + private Atome a1, a2; + private Substitution sub; + private LinkedList couples; + + public Unification(Atome a1, Atome a2) { + this.a1 = a1.dupliquer(); + this.a2 = a2.dupliquer(); + this.sub = new Substitution(); + this.couples = new LinkedList(); + if (a1.estEquivalent(a2)) { + Terme[] ts1 = a1.getTermes(), + ts2 = a2.getTermes(); + for (int i = 0; i < ts1.length; i++) + couples.add(new Couple(ts1[i],ts2[i])); + } + } + + public void retirer(Couple c) { + couples.remove(c); + } + + public void ajouter(Couple c) { + couples.add(c); + } + + public void ajouter(Terme t1, Terme t2) { + ajouter(new Couple(t1,t2)); + } + + public void ajouter(Variable v, Terme t) { + /* sub.ajouter(v,t); */ + ajouter(new Couple(v,t)); + } + + private void miseAJourSubstitution() { + miseAJourCouples(); + + for (Couple c : couples) { + if (c.getCouple() != null) + sub.ajouter(c.getCouple()); + } + } + + private void miseAJourCouples() { + Terme tg, td; + for (Couple c : couples) { + tg = c.getTermeG(); + td = c.getTermeD(); + if (tg instanceof Variable) { + c.setCouple((Variable)tg,td); + } + } + } + + private void miseAJourAtomes() { + miseAJourSubstitution(); + sub.applique(a1); + sub.applique(a2); + } + + public Substitution getSubstitution() { + return sub; + } + + public Atome getAtome1() { + return a1; + } + + public Atome getAtome2() { + return a2; + } + + public boolean unifier() { + if (!(a1.estEquivalent(a2))) + return false; + while (true) { + simplifier(); + try { + if (decomposer()) + continue; + inverser(); + if (eliminer()) + continue; + break; + } catch (UnificationEchecException uee) { + return false; + } + } + miseAJourSubstitution(); + miseAJourAtomes(); + return !sub.estVide(); + } + + public void simplifier() { + Terme tg, td; + LinkedList supprl = new LinkedList(); + for (Couple c : couples) { + tg = c.getTermeG(); + td = c.getTermeD(); + if ((td instanceof Variable) + && (tg instanceof Variable) + && (tg.estEquivalent(td))) { + /* && (td.getNom().equals(tg.getNom()))) { */ + supprl.add(c); + } else if ((td instanceof Constante) + && (tg instanceof Constante) + && (td.estEquivalent(tg))) { + /* && (td.getNom().equals(tg.getNom()))) { */ + supprl.add(c); + } + } + for (Couple c : supprl) + retirer(c); + } + + /* retourne vrai si il y a eu un changement */ + public boolean decomposer() throws UnificationEchecException { + Terme tg, td; + boolean ret = false; + LinkedList supprl = new LinkedList(), + addl = new LinkedList(); + for (Couple c : couples) { + tg = c.getTermeG(); + td = c.getTermeD(); + if ((td instanceof Fonction) + && (tg instanceof Fonction)) { + if (td.estEquivalent(tg)) { + supprl.add(c); + Terme[] tgs = tg.getTermes(), + tds = td.getTermes(); + for (int i = 0; i < tgs.length; i++) + addl.add(new Couple(tgs[i],tds[i])); + ret = true; + } else + throw new UnificationEchecException(); + } else if (( + ((td instanceof Constante) + && (tg instanceof Constante) + && !(tg.estEquivalent(td))) + ) || ( + ((td instanceof Constante) + && (tg instanceof Fonction)) + ) || ( + ((tg instanceof Constante) + && (td instanceof Fonction)) + )) { + throw new UnificationEchecException(); + } + } + for (Couple c : supprl) + retirer(c); + for (Couple c : addl) + ajouter(c); + return ret; + } + + public void inverser() { + Terme tg, td; + for (Couple c : couples) { + tg = c.getTermeG(); + td = c.getTermeD(); + if ((td instanceof Variable) + && !(tg instanceof Variable)) { + /* && !(td.getNom().equals(tg.getNom()))) { */ + c.setTermeG(td); + c.setTermeD(tg); + /* substitution(td,tg) */ + } + } + + } + + /* retourne vrai si il y a eu un changement */ + public boolean eliminer() throws UnificationEchecException { + Terme tg, td; + boolean ret = false; + LinkedList supprl = new LinkedList(); + miseAJourSubstitution(); + for (Couple c : couples) { + tg = c.getTermeG(); + td = c.getTermeD(); + if ((td instanceof Fonction) + && (tg instanceof Variable)) { + if (((Fonction)td).contient(tg) && !td.equals(tg)) + throw new UnificationEchecException(); + + else { + /* retirer(c); */ + supprl.add(c); + sub.ajouter(c.getCouple()); + substituer((Variable)tg,td); + ret = true; + } + } + } + for (Couple c : supprl) + retirer(c); + + return ret; + } + + private void substituer(Variable v, Terme t) { + Terme tg, td; + miseAJourAtomes(); + for (Couple c : couples) { + tg = c.getTermeG(); + td = c.getTermeD(); + if (tg instanceof Fonction) + substituer((Fonction)tg,v,t); + else if ((tg != null) && (tg.equals(v))) + c.setTermeG(t); + + if (td instanceof Fonction) + substituer((Fonction)td,v,t); + else if ((td != null) && (td.equals(v))) + c.setTermeD(t); + } + } + + private void substituer(Fonction f, Variable v, Terme t) { + Terme[] ft = f.getTermes(); + miseAJourAtomes(); + for (int i = 0; i < ft.length; i++) { + if (ft[i] instanceof Fonction) + substituer((Fonction)ft[i],v,t); + else if (ft[i].equals(v)) + f.setTerme(i,t); + } + } + + public String toString() { + StringBuffer sb = new StringBuffer("Unification: ["); + String tmp; + for (Couple c: couples) { + tmp = c.getVariable() + "=" + c.getTerme() + " {" + + c.getTermeG() + "=" + c.getTermeD() + "},"; + sb.append(tmp); + } + sb.append((couples.size() > 0 ? "\010" : "") + "]"); + return sb.toString(); + } +} diff --git a/test/TestAnalyse.java b/test/TestAnalyse.java new file mode 100755 index 0000000..c7bb8d9 --- /dev/null +++ b/test/TestAnalyse.java @@ -0,0 +1,40 @@ +package adpo.test; + +import adpo.analyse.*; +import adpo.formule.*; + +public class TestAnalyse { + public static void main(String[] args) { + Tests.anaArgs(args); + TestAnalyse.test(Tests.al,Tests.as); + } + + public static void test(AnalyseLexicale al, AnalyseSyntaxique as) { + int ret,i; + + /* Tests AnalyseLexicale */ + System.out.println("---AnalyseLexicale---"); + i = 0; + do { + ret = al.analyser(); + System.out.println("[Appel " + i++ + "] "); + } while ((ret >= 0) && (al.tableAnalyse.getLexeme(ret).getType() + != Lexeme.ID_EOF)); + if (ret == -2) + System.out.println("ERREUR"); + else + System.out.println("SUCCES"); + + + /* Tests AnalyseSyntaxique */ + System.out.println("---AnalyseSyntaxique---"); + Formule f = as.analyser(); + if (f == null) + System.out.println("ERREUR"); + else { + System.out.println("SUCCES"); + System.out.println(f); + } + } +} diff --git a/test/TestClauseResolution.java b/test/TestClauseResolution.java new file mode 100755 index 0000000..4d7dc0b --- /dev/null +++ b/test/TestClauseResolution.java @@ -0,0 +1,23 @@ +package adpo.test; + +import adpo.formule.*; +import adpo.resolution.*; + +public class TestClauseResolution { + public static void main(String[] args) { + Tests.anaArgs(args); + test(new FormeClausale(Tests.as.analyser())); + } + + public static void test(FormeClausale fc) { + /* Tests Résolution */ + System.out.println("---Resolution---"); + ClauseResolution cr = new ClauseResolution(fc); + Clause res = cr.resoudre(); + + if (res instanceof ClauseVide) + System.out.println("Théorème (LP1)"); + else + System.out.println("Pas Théorème (LP1)"); + } +} diff --git a/test/TestFormule.java b/test/TestFormule.java new file mode 100755 index 0000000..3c79937 --- /dev/null +++ b/test/TestFormule.java @@ -0,0 +1,41 @@ +package adpo.test; + +import adpo.analyse.*; +import adpo.formule.*; +import adpo.resolution.FormeClausale; + +public class TestFormule { + public static void main(String[] args) { + Tests.anaArgs(args); + test(Tests.as); + } + + public static void test(AnalyseSyntaxique as) { + /* Tests Formule */ + System.out.println("---Formule---"); + Formule f = as.analyser(); + System.out.println(f); + + /* Tests simplification */ + System.out.println("---Simplification---"); + Formule fs = f.simplification(); + System.out.println(fs); + + /* Tests negation */ + System.out.println("---Negation---"); + Formule nf = null; + fs.nier(true); + nf = fs.negation(); + System.out.println(nf); + + /* Tests FormeClausale */ + System.out.println("---FormeClausale---"); + FormeClausale fc = new FormeClausale(f); + System.out.println(fc); + + + /* Tests simplification */ + System.out.println("---FormeClausale_simplification---"); + System.out.println(fc.simplifier()); + } +} diff --git a/test/TestRobinsonResolution.java b/test/TestRobinsonResolution.java new file mode 100755 index 0000000..a98400f --- /dev/null +++ b/test/TestRobinsonResolution.java @@ -0,0 +1,24 @@ +package adpo.test; + +import adpo.formule.*; +import adpo.resolution.*; + +public class TestRobinsonResolution { + public static void main(String[] args) { + Tests.anaArgs(args); + test(new FormeClausale(Tests.as.analyser())); + } + + public static void test(FormeClausale fc) { + /* Tests Résolution */ + System.out.println("---Resolution---"); + RobinsonResolution rr = new RobinsonResolution(fc); + Clause res = rr.resoudre(); + + if (res instanceof ClauseVide) + System.out.println("Théorème (LP1)"); + else + System.out.println("Pas Théorème (LP1)"); + } +} + diff --git a/test/TestUnification.java b/test/TestUnification.java new file mode 100755 index 0000000..0065abf --- /dev/null +++ b/test/TestUnification.java @@ -0,0 +1,37 @@ +package adpo.test; + +import adpo.analyse.*; +import adpo.formule.*; +import adpo.resolution.*; + +public class TestUnification { + public static void main(String[] args) { + TestUnification.test(); + } + + public static void test() { + Atome a1 = new Atome("r"), + a2 = new Atome("r"); + Fonction f1 = new Fonction("f"), + f2 = new Fonction("f"); + Unification u; + + f2.ajouter(new Variable("z")); + f1.ajouter(new Constante("a")); + + a1.ajouter(f1); + a1.ajouter(new Constante("b")); + a2.ajouter(f2); + a2.ajouter(new Variable("y")); + + u = new Unification(a1,a2); + + System.out.println(a1 + " " + a2); + System.out.println(u.unifier()); + System.out.println(a1 + " " + a2); + System.out.println(u.getSubstitution()); + System.out.println(u.getAtome2() + " " + u.getAtome1().equals(u.getAtome2())); + + + } +} diff --git a/test/Tests.java b/test/Tests.java new file mode 100755 index 0000000..665f428 --- /dev/null +++ b/test/Tests.java @@ -0,0 +1,38 @@ +package adpo.test; + +import adpo.Main; +import adpo.analyse.*; +import adpo.formule.*; +import adpo.resolution.*; + +public class Tests { + public static AnalyseLexicale al = null; + public static AnalyseSyntaxique as = null; + + /* a deplacer dans adpo.Main, sans attributs */ + public static void anaArgs(String[] args) { + int type = Main.verifArgs(args); + String s = args[Main.getDecalage(type)]; + + if (Main.estFormule(type)) { + al = new AnalyseLexicaleString(s); + as = new AnalyseSyntaxiqueString(s); + } else if (Main.estFichier(type)) { + al = new AnalyseLexicaleFile(s); + as = new AnalyseSyntaxiqueFile(s); + } else { + System.err.println("Erreur innatendue"); + System.exit(1); + } + } + + public static void main(String[] args) { + anaArgs(args); + + TestAnalyse.test(al,as); + TestFormule.test(as); + FormeClausale fc = new FormeClausale(as.analyser()); + TestClauseResolution.test(fc); + TestRobinsonResolution.test(fc); + } +}

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