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main.pony
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main.pony
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actor Main
new create(env: Env) =>
@printf[I32]("pony-logic!\n".cstring())
run()
fun run() =>
@printf[I32]("\nSimple ===\n".cstring())
let res: Stream[State] =
MK.fresh({(q: Var): Goal => q == Vl("5")} val)()
@printf[I32]("%s\n".cstring(), res.string().cstring())
// Stream((( (#(0) . 5)) . 1))
@printf[I32]("\nSimple === (where it fails)\n".cstring())
let v1 = Var(0)
let state = State(SubstEnv().add(v1, Vl("6")), 1)
let res01: Stream[State] = (v1 == Vl("5"))(state)
@printf[I32]("%s\n".cstring(), res01.string().cstring())
//Stream()
@printf[I32]("\nConj\n".cstring())
let res2 =
(MK.fresh({(q: Var): Goal => (q == Vl("7"))} val) and
MK.fresh(
{(q2: Var): Goal => (q2 == Vl("5")) or (q2 == Vl("6"))} val)
)()
@printf[I32]("%s\n".cstring(), res2.string().cstring())
// Stream((( (#(1) . 5) (#(0) . 7)) . 2), (( (#(1) . 6) (#(0) . 7)) . 2))
@printf[I32]("\nDisj\n".cstring())
let res3 =
MK.fresh(
{(q2: Var): Goal =>
(q2 == Vl("5")) or (q2 == Vl("6"))
} val)()
@printf[I32]("%s\n".cstring(), res3.string().cstring())
// Stream((( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1))
@printf[I32]("\nInfinite (take 20)\n".cstring())
let res4 = MK.fresh(Fives)().take(20)
@printf[I32]("%s\n".cstring(), res4.string().cstring())
// Stream((( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 5)) . 1))
@printf[I32]("\nInfinite (take 20) 2\n".cstring())
let fives = Repeater(Vl("5"))
let sixes = Repeater(Vl("6"))
let res5 =
MK.fresh(
{(q: Var): Goal =>
fives(q) or sixes(q)
} val)().take(20)
@printf[I32]("%s\n".cstring(), res5.string().cstring())
// Stream((( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1), (( (#(0) . 5)) . 1), (( (#(0) . 6)) . 1))
@printf[I32]("\nCheck against disj\n".cstring())
let res6 =
MK.fresh(
{(q: Var): Goal =>
(q == Vl("5")) and
((q == Vl("6")) or (q == Vl("5")))
} val)()
@printf[I32]("%s\n".cstring(), res6.string().cstring())
// Stream((( (#(0) . 5)) . 1))
@printf[I32]("\nConso\n".cstring())
let res7 =
MK.fresh(
{(q: Var): Goal =>
MK.conso(Vl("a"), TList("b c"), q)
} val)()
@printf[I32]("%s\n".cstring(), res7.string().cstring())
// Stream((( (#(0) . (a . (b . (c . ))))) . 1))
@printf[I32]("\nConso2\n".cstring())
let res8 =
MK.fresh(
{(q: Var): Goal =>
MK.conso(q, TList("b c d"), TList("a b c d"))
} val)()
@printf[I32]("%s\n".cstring(), res8.string().cstring())
// Stream((( (#(0) . a)) . 1))
@printf[I32]("\nConso3\n".cstring())
let res9 =
MK.fresh3(
{(q1: Var, q2: Var, q3: Var): Goal =>
MK.conso(q1, q2, q3)
} val)()
@printf[I32]("%s\n".cstring(), res9.string().cstring())
// Stream((( (#(2) . (#(0) . #(1)))) . 3))
@printf[I32]("\nRelation\n".cstring())
let res10 =
MK.fresh(
{(q: Var): Goal =>
LocatedIn(Vl("Bronx"), q)
} val)().take(10)
@printf[I32]("%s\n".cstring(), res10.string().cstring())
@printf[I32]("Reified: %s\n".cstring(),
MK.reify_items(res10).string().cstring())
// Reified: Stream(NY, US, Earth, Cosmos)
@printf[I32]("\nRelation2\n".cstring())
let res11 =
MK.fresh(
{(q: Var): Goal =>
LocatedIn(q, Vl("Earth"))
} val)().take(10)
@printf[I32]("%s\n".cstring(), res11.string().cstring())
// Stream((( (#(0) . WA)) . 3), (( (#(0) . NY)) . 3), (( (#(1) . NY) (#(0) . Bronx)) . 5), (( (#(1) . WA) (#(0) . Seattle)) . 5))
@printf[I32]("Reified: %s\n".cstring(),
MK.reify_items(res11).string().cstring())
// Reified: Stream(US, WA, NY, Bronx, Seattle)
@printf[I32]("\nDivergo (printing this result would diverge)\n"
.cstring())
let res666 =
MK.fresh2(
{(q1: Var, q2: Var): Goal =>
MK.divergo()
} val)()
@printf[I32]("\nAppendo1\n".cstring())
let res12 =
MK.fresh(
{(q1: Var): Goal =>
MK.appendo(TList("a b"), TList("c d"), q1)
} val)()
@printf[I32]("Reified: %s\n".cstring(),
MK.reify(res12).string().cstring())
// Reified: Stream(
// [0: (a . (b . (c . (d . ()))))])
@printf[I32]("\nAppendo2\n".cstring())
let res13 =
MK.fresh2(
{(q1: Var, q2: Var): Goal =>
MK.appendo(q1, q2, TList("a b c d e"))
} val)()
@printf[I32]("Reified: %s\n".cstring(),
MK.reify2(res13).string().cstring())
// Reified: Stream(
// [0: (), 1: (a . (b . (c . (d . (e . ())))))],
// [0: (a . ()), 1: (b . (c . (d . (e . ()))))],
// [0: (a . (b . ())), 1: (c . (d . (e . ())))],
// [0: (a . (b . (c . ()))), 1: (d . (e . ()))],
// [0: (a . (b . (c . (d . ())))), 1: (e . ())],
// [0: (a . (b . (c . (d . (e . ()))))), 1: ()])
@printf[I32]("\nAppendo3\n".cstring())
let res14 =
MK.fresh2(
{(q1: Var, q2: Var): Goal =>
MK.appendo(q1, TList("d e"), q2)
} val)().take(10)
@printf[I32]("Reified: %s\n".cstring(),
MK.reify2(res14).string().cstring())
@printf[I32]("\nMembero\n".cstring())
let res15 =
MK.fresh(
{(q1: Var): Goal =>
MK.membero(Vl("a"), q1)
} val)().take(10)
@printf[I32]("Reified: %s\n".cstring(),
MK.reify(res15).string().cstring())
// Reified: Stream(
// [0: (a . #(1))],
// [0: (#(2) . (a . #(3)))],
// [0: (#(2) . (#(4) . (a . #(5))))],
// [0: (#(2) . (#(4) . (#(6) . (a . #(7)))))],
// [0: (#(2) . (#(4) . (#(6) . (#(8) . (a . #(9))))))],
// [0: (#(2) . (#(4) . (#(6) . (#(8) . (#(10) . (a . #(11)))))))],
// [0: (#(2) . (#(4) . (#(6) . (#(8) . (#(10) . (#(12) . (a . #(13))))))))],
// [0: (#(2) . (#(4) . (#(6) . (#(8) . (#(10) . (#(12) . (#(14) . (a . #(15)))))))))],
// [0: (#(2) . (#(4) . (#(6) . (#(8) . (#(10) . (#(12) . (#(14) . (#(16) . (a . #(17))))))))))],
// [0: (#(2) . (#(4) . (#(6) . (#(8) . (#(10) . (#(12) . (#(14) . (#(16) . (#(18) . (a . #(19)))))))))))])
primitive LocatedIn
fun apply(t1: Term, t2: Term): Goal =>
TransitiveRelation(recover [
("Bronx", "NY")
("Seattle", "WA")
("WA", "US")
("NY", "US")
("US", "Earth")
("Earth", "Cosmos")
] end)(t1, t2)
primitive Fives
fun apply(x: Var): Goal =>
(x == Vl("5")) or
object val is Goal
let x: Var = x
fun apply(sc: State): Stream[State] =>
SDelay[State]({(): Stream[State] => Fives.apply(x)(sc)} val)
end
class val Repeater
let _v: Vl
new val create(v: Vl) =>
_v = v
fun val apply(x: Var): Goal =>
(x == _v) or
object val is Goal
let x: Var = x
let self: Repeater = this
fun apply(sc: State): Stream[State] =>
SDelay[State]({(): Stream[State] => self(x)(sc)} val)
end
//////////////////////////
// Some infinite streams
//////////////////////////
primitive Ones is SNext[U8]
fun mature(): (U8, Stream[U8]) =>
(1, Ones)
class val U8s is SNext[U8]
let _n: U8
new val create(n: U8 = 0) =>
_n = n
fun mature(): (U8, Stream[U8]) =>
if _n == U8.max_value() then
(_n, SNil[U8])
else
(_n, U8s(_n + 1))
end
class val Odds is SNext[U8]
let _n: U8
new val create(n: U8 = 1) =>
_n =
if (n % 2) == 0 then
n + 1
else
n
end
fun mature(): (U8, Stream[U8]) =>
if _n == U8.max_value() then
(_n, SNil[U8])
else
(_n, Odds(_n + 2))
end
class val Evens is SNext[U8]
let _n: U8
new val create(n: U8 = 0) =>
_n =
if (n % 2) != 0 then
n + 1
else
n
end
fun mature(): (U8, Stream[U8]) =>
if _n == U8.max_value() then
(_n, SNil[U8])
else
(_n, Evens(_n + 2))
end