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(* ========================================================================= *)
(* NORMALIZING FORMULAS *)
(* Copyright (c) 2001 Joe Leslie-Hurd, distributed under the BSD License *)
(* ========================================================================= *)
signature Normalize =
sig
(* ------------------------------------------------------------------------- *)
(* Negation normal form. *)
(* ------------------------------------------------------------------------- *)
val nnf : Formula.formula -> Formula.formula
(* ------------------------------------------------------------------------- *)
(* Conjunctive normal form derivations. *)
(* ------------------------------------------------------------------------- *)
type thm
datatype inference =
Axiom of Formula.formula
| Definition of string * Formula.formula
| Simplify of thm * thm list
| Conjunct of thm
| Specialize of thm
| Skolemize of thm
| Clausify of thm
val mkAxiom : Formula.formula -> thm
val destThm : thm -> Formula.formula * inference
val proveThms :
thm list -> (Formula.formula * inference * Formula.formula list) list
val toStringInference : inference -> string
val ppInference : inference Print.pp
(* ------------------------------------------------------------------------- *)
(* Conjunctive normal form. *)
(* ------------------------------------------------------------------------- *)
type cnf
val initialCnf : cnf
val addCnf : thm -> cnf -> (Thm.clause * thm) list * cnf
val proveCnf : thm list -> (Thm.clause * thm) list
val cnf : Formula.formula -> Thm.clause list
end
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