Structure mlibKernel
(* ========================================================================= *)
(* A LCF-STYLE LOGICAL KERNEL FOR FIRST-ORDER CLAUSES *)
(* Copyright (c) 2001-2004 Joe Hurd. *)
(* ========================================================================= *)
signature mlibKernel =
sig
type term = mlibTerm.term
type formula = mlibTerm.formula
type subst = mlibSubst.subst
(* An ABSTRACT type for theorems *)
eqtype thm
datatype inference = Axiom | Refl | Assume | Inst | Factor | Resolve | Equality
(* Destruction of theorems is fine *)
val dest_thm : thm -> formula list * (inference * thm list)
(* But creation is only allowed by the primitive rules of inference *)
val AXIOM : formula list -> thm
val REFL : term -> thm
val ASSUME : formula -> thm
val INST : subst -> thm -> thm
val FACTOR : thm -> thm
val RESOLVE : formula -> thm -> thm -> thm
val EQUALITY : formula -> int list -> term -> bool -> thm -> thm
end
HOL 4, Kananaskis-14