17 lines
573 B
Lua
17 lines
573 B
Lua
local env = environment()
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local l = param_univ("l")
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local U_l = mk_sort(l)
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local A = Local("A", U_l)
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local R = Local("R", mk_arrow(A, A, Bool))
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local Acc = Const("Acc", {l})
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local x = Local("x", A)
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local y = Local("y", A)
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env = add_inductive(env,
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"Acc", {l}, 2, Pi({A, R, x}, Bool),
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"Acc_intro", Pi({A, R, x}, mk_arrow(Pi(y, mk_arrow(R(y, x), Acc(A, R, y))), Acc(A, R, x))))
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function display_type(env, t)
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print(tostring(t) .. " : " .. tostring(type_checker(env):infer(t)))
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end
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display_type(env, Const("Acc_rec", {1}))
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