47 lines
1.5 KiB
Lua
47 lines
1.5 KiB
Lua
local env = environment()
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local group = Const("group")
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local carrier = Const("carrier")
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local real = Const("real")
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local nat = Const("nat")
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env = add_decl(env, mk_var_decl("group", mk_sort(2)))
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env = add_decl(env, mk_var_decl("carrier", mk_arrow(group, Type)))
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env = add_decl(env, mk_var_decl("real", Type))
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env = add_decl(env, mk_var_decl("nat", Type))
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env = add_decl(env, mk_var_decl("real_group", group))
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env = add_decl(env, mk_var_decl("nat_group", group))
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local real_group = Const("real_group")
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local nat_group = Const("nat_group")
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local m = mk_metavar("m", mk_metavar("m_ty", mk_sort(mk_meta_univ("u"))))
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local cs = { mk_eq_cnstr(carrier(m), real) }
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local o = options({"unifier", "use_exceptions"}, false)
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print(o)
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assert(not unify(env, cs, o)())
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function hint(c, ngen)
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local lhs = c:lhs()
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local rhs = c:rhs()
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local j = c:justification()
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if lhs:is_app() and lhs:fn() == carrier and lhs:arg():is_meta() then
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return
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{{ mk_eq_cnstr(lhs:arg(), nat_group, j) }, -- first possible solution
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{ mk_eq_cnstr(lhs:arg(), real_group, j) }}
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else
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return nil
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end
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end
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function display_solutions(ss)
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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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end
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display_solutions(unify(env, cs, hint, o))
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