25 lines
780 B
Lua
25 lines
780 B
Lua
local env = environment()
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local N = Const("N")
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local P = Const("P")
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env = add_decl(env, mk_constant_assumption("N", Type))
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env = add_decl(env, mk_constant_assumption("P", mk_arrow(N, Prop)))
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local a = Local("a", N)
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local H = Local("H", P(a))
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local t = Pi(H, Prop)
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print(env:infer_type(t))
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local m = mk_metavar("m", mk_arrow(N, N, Type))
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local cs = { mk_eq_cnstr(m(a, a), t) }
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ss = unify(env, cs, name_generator())
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local n = 0
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for s in ss do
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print("solution: " .. tostring(s:instantiate(m)))
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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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assert(n == 2)
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