19 lines
899 B
Lua
19 lines
899 B
Lua
import("util.lua")
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local f, g, a, b, c, d = Consts("f, g, a, b, c, d")
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local x = Var(0)
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local y = Var(1)
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assert(f(a):closed())
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local F = f(g(x, a), f(b, f(x, c)))
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assert(F:has_free_vars())
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assert(F:lift_free_vars(1) == f(g(y, a), f(b, f(y, c))))
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print(F)
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print(F:instantiate{c, g(b)})
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assert(F:instantiate{c, g(b)} == f(g(g(b), a), f(b, f(g(b), c))))
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assert(F:instantiate(g(b)) == f(g(g(b), a), f(b, f(g(b), c))))
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assert(F:lift_free_vars(1):instantiate{c, g(b)} == f(g(c, a), f(b, f(c, c))))
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print(F:lift_free_vars(1):abstract(a))
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assert(F:lift_free_vars(1):abstract(a) == f(g(y, x), f(b, f(y, c))))
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assert(F:lift_free_vars(1):abstract(a):instantiate{c, d} == f(g(c, d), f(b, f(c, c))))
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assert(F:lift_free_vars(1):abstract(a):instantiate{c, d}:abstract{c, b} == f(g(y, d), f(x, f(y, y))))
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assert(F:lift_free_vars(1):lower_free_vars(1) == F)
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assert(F:lift_free_vars(0, 1):lower_free_vars(1, 1) == F)
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