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(* ========================================================================= *)
(* HOL-Light Library for Modal Systems *)
(* *)
(* (c) Copyright, Marco Maggesi, Cosimo Perini Brogi 2020-2022. *)
(* (c) Copyright, Antonella Bilotta, Marco Maggesi, *)
(* Cosimo Perini Brogi, Leonardo Quartini 2024. *)
(* (c) Copyright, Antonella Bilotta, Marco Maggesi, *)
(* Cosimo Perini Brogi 2025. *)
(* ========================================================================= *)
(* ------------------------------------------------------------------------- *)
(* Libraries. *)
(* ------------------------------------------------------------------------- *)
needs "Library/card.ml";; (* Cardinality *)
needs "Library/rstc.ml";; (* Refl, sym, trans closure *)
(* ------------------------------------------------------------------------- *)
(* Syntax, semantics and calculus. *)
(* ------------------------------------------------------------------------- *)
loadt "HOLMS/misc.ml";; (* Miscellanea *)
loadt "HOLMS/modal.ml";; (* Syntax and semantics *)
loadt "HOLMS/calculus.ml";; (* Axiomatic calculus *)
(* ------------------------------------------------------------------------- *)
(* Correspondence Theory. *)
(* ------------------------------------------------------------------------- *)
loadt "HOLMS/parametric_correspondence.ml";; (* Parametric code *)
loadt "HOLMS/ad_hoc_correspondence.ml";; (* Ad hoc polimorphic code *)
(* ------------------------------------------------------------------------- *)
(* Meta-theory. *)
(* ------------------------------------------------------------------------- *)
loadt "HOLMS/conjlist.ml";; (* Iterated conjunctions *)
loadt "HOLMS/consistent.ml";; (* Consistent sets of formulae *)
loadt "HOLMS/gen_completeness.ml";; (* Lemmata about completeness *)
(* ------------------------------------------------------------------------- *)
(* Soundness and completeness results specific to each logic. *)
(* ------------------------------------------------------------------------- *)
loadt "HOLMS/k_completeness.ml";;
loadt "HOLMS/t_completeness.ml";;
loadt "HOLMS/k4_completeness.ml";;
loadt "HOLMS/s4_completeness.ml";;
loadt "HOLMS/b_completeness.ml";;
loadt "HOLMS/s5_completeness.ml";;
loadt "HOLMS/gl_completeness.ml";;
(* ------------------------------------------------------------------------- *)
(* General tools for decidability and countermodel generation. *)
(* ------------------------------------------------------------------------- *)
loadt "HOLMS/gen_decid.ml";;
loadt "HOLMS/gen_countermodel.ml";;
(* ------------------------------------------------------------------------- *)
(* Decision procedures and countermodel generators specific to each logic. *)
(* ------------------------------------------------------------------------- *)
loadt "HOLMS/k_decid.ml";;
loadt "HOLMS/t_decid.ml";;
loadt "HOLMS/k4_decid.ml";;
loadt "HOLMS/s4_decid.ml";;
loadt "HOLMS/b_decid.ml";;
loadt "HOLMS/s5_decid.ml";;
loadt "HOLMS/gl_decid.ml";;
(* ------------------------------------------------------------------------- *)
(* Grzegorczyk Logic (GRZ): Meta-theory, translations to GL, *)
(* decision procedure (via translation to GL). *)
(* ------------------------------------------------------------------------- *)
loadt "HOLMS/translations.ml";;
loadt "HOLMS/grz.ml";;
loadt "HOLMS/grz_tests.ml";;
loadt "HOLMS/god_transl.ml";;