package lambdapi

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Proof assistant for the λΠ-calculus modulo rewriting

Install

dune-project
 Dependency

Authors

Maintainers

Sources

lambdapi-3.0.0.tbz
sha256=1066aed2618fd8e6a400c5147dbf55ea977ce8d3fe2e518ac6785c6775a1b8be
sha512=f7f499626aba92e070ae69581299a58525973fdbfd04a160ed3ac89209fb6cbe307b816d0b23e1b75bc83467ce8b4b0530c6f9816eaf58f7a07fde65a450106c

doc/src/lambdapi.core/coercion.ml.html

Source file coercion.ml

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open Common
open Term open Sign

let coerce : sym =
  let id = Pos.none "coerce" in
  Sign.add_symbol Ghost.sign Public Defin Eager false id None mk_Kind []

let apply a b t : term = add_args (mk_Symb coerce) [a; b; t]

let _ =
  (* Add the rule [coerce $A $A $t ↪ $t] (but we don't have access to
     the parser here) *)
  let rule =
    let a = mk_Patt (Some 0, "A", [||])
    and t = mk_Patt (Some 1, "t", [||]) in
    let lhs = [a;a;t] and arities = [|0;0|] and names = [|"A";"t"|] in
    { lhs; names; rhs=t; arity=3; arities; vars_nb=2; xvars_nb = 0;
      rule_pos = None }
  in
  Sign.add_rule Ghost.sign (coerce, rule)
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