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(* ========================================================================= *) | |
(* Basic metatheorems for FOL without and with equality. *) | |
(* ========================================================================= *) | |
(* ------------------------------------------------------------------------- *) | |
(* Background theories. *) | |
(* ------------------------------------------------------------------------- *) | |
needs "Library/analysis.ml";; (* Just for some "subseq" lemmas really *) | |
needs "Library/wo.ml";; (* Well-orders and Zorn's lemma equivalents *) | |
needs "Library/rstc.ml";; (* Reflexive-symmetric-transitive closures *) | |
needs "Examples/reduct.ml";; (* Abstract reduction relations. *) | |
needs "Examples/multiwf.ml";; (* Wellfoundedness of multiset ordering *) | |
(* ------------------------------------------------------------------------- *) | |
(* Model theory of first order logic. *) | |
(* ------------------------------------------------------------------------- *) | |
loadt "Logic/fol.ml";; (* Basic first order logic definitions *) | |
loadt "Logic/prenex.ml";; (* Prenex normal form *) | |
loadt "Logic/skolem.ml";; (* Skolem normal form *) | |
loadt "Logic/fol_prop.ml";; (* Compactness etc. for propositional case *) | |
loadt "Logic/canon.ml";; (* First order case via canonical models *) | |
loadt "Logic/herbrand.ml";; (* Refinement to ground terms *) | |
loadt "Logic/fole.ml";; (* First order logic with equality *) | |
(* ------------------------------------------------------------------------- *) | |
(* Completeness of resolution. *) | |
(* ------------------------------------------------------------------------- *) | |
loadt "Logic/unif.ml";; (* Unification algorithms and MGUs *) | |
loadt "Logic/resolution.ml";; (* Completeness of resolution *) | |
loadt "Logic/given.ml";; (* More refined analysis of subsumption etc. *) | |
loadt "Logic/linear.ml";; (* Linear refinements *) | |
loadt "Logic/support.ml";; (* Set-of-support tautology-free versions *) | |
loadt "Logic/positive.ml";; (* Positive and general semantic resolution *) | |
loadt "Logic/givensem.ml";; (* Adaptation of given.ml to semantic case *) | |
(* ------------------------------------------------------------------------- *) | |
(* Prolog-style backchaining (SLD resolution). *) | |
(* ------------------------------------------------------------------------- *) | |
loadt "Logic/prolog.ml";; (* Backchaining for Horn clauses *) | |
(* ------------------------------------------------------------------------- *) | |
(* Equational logic. *) | |
(* ------------------------------------------------------------------------- *) | |
loadt "Logic/birkhoff.ml";; (* Birkhoff's completeness theorem *) | |
loadt "Logic/trs.ml";; (* Results on simplifying convergent TRS *) | |
loadt "Logic/lpo.ml";; (* The lexicographic path ordering *) | |