51 lines
1.3 KiB
Text
51 lines
1.3 KiB
Text
import logic
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namespace experiment
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inductive nat : Type :=
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zero : nat,
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succ : nat → nat
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constant f : nat → nat
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check @nat.rec
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(*
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local env = get_env()
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local nat_rec = Const({"nat", "rec"}, {1})
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local nat = Const("nat")
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local f = Const("f")
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local n = Local("n", nat)
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local C = Fun(n, Prop)
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local p = Local("p", Prop)
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local ff = Const("false")
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local tt = Const("true")
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local t = nat_rec(C, ff, Fun(n, p, tt))
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local zero = Const("zero")
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local succ = Const("succ")
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local one = succ(zero)
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local tc = type_checker(env)
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print(env:whnf(t(one)))
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print(env:whnf(t(zero)))
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local m = mk_metavar("m", nat)
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print(env:whnf(t(m)))
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function test_unify(env, lhs, rhs, num_s)
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print(tostring(lhs) .. " =?= " .. tostring(rhs) .. ", expected: " .. tostring(num_s))
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local ss = unify(env, lhs, rhs, name_generator(), true, substitution(), options())
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local n = 0
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for s in ss do
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print("solution: ")
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s:for_each_expr(function(n, v, j)
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print(" " .. tostring(n) .. " := " .. tostring(v))
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end)
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s:for_each_level(function(n, v, j)
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print(" " .. tostring(n) .. " := " .. tostring(v))
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end)
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n = n + 1
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end
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if num_s ~= n then print("n: " .. n) end
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assert(num_s == n)
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end
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test_unify(env, f(t(m)), f(tt), 1)
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*)
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exit
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