Copyright	(c) Dominik Luecke Uni Bremen 2007
License	GPLv2 or higher, see LICENSE.txt
Maintainer	luecke@informatik.uni-bremen.de
Stability	experimental
Portability	non-portable (imports Logic.Logic)
Safe Haskell	None

Propositional.Logic_Propositional

Contents

Orphan instances

Description

Instance of class Logic for the propositional logic Also the instances for Syntax and Category.

Synopsis

data Propositional = Propositional

Documentation

data Propositional Source #

Lid for propositional logic

Constructors

Propositional

Instances

Instances details

Show Propositional Source #
Instance details Defined in Propositional.Logic_Propositional Methods showsPrec :: Int -> Propositional -> ShowS show :: Propositional -> String showList :: [Propositional] -> ShowS
Language Propositional Source #
Instance details Defined in Propositional.Logic_Propositional Methods language_name :: Propositional -> String Source # description :: Propositional -> String Source #
Sentences Propositional FORMULA Sign Morphism Symbol Source #	Instance of Sentences for propositional logic
Instance details Defined in Propositional.Logic_Propositional Methods map_sen :: Propositional -> Morphism -> FORMULA -> Result FORMULA Source # simplify_sen :: Propositional -> Sign -> FORMULA -> FORMULA Source # negation :: Propositional -> FORMULA -> Maybe FORMULA Source # print_sign :: Propositional -> Sign -> Doc Source # print_named :: Propositional -> Named FORMULA -> Doc Source # sym_of :: Propositional -> Sign -> [Set Symbol] Source # mostSymsOf :: Propositional -> Sign -> [Symbol] Source # symmap_of :: Propositional -> Morphism -> EndoMap Symbol Source # sym_name :: Propositional -> Symbol -> Id Source # sym_label :: Propositional -> Symbol -> Maybe String Source # fullSymName :: Propositional -> Symbol -> String Source # symKind :: Propositional -> Symbol -> String Source # symsOfSen :: Propositional -> Sign -> FORMULA -> [Symbol] Source # pair_symbols :: Propositional -> Symbol -> Symbol -> Result Symbol Source #
Syntax Propositional BASIC_SPEC Symbol SYMB_ITEMS SYMB_MAP_ITEMS Source #
Instance details Defined in Propositional.Logic_Propositional Methods parsersAndPrinters :: Propositional -> Map String (PrefixMap -> AParser st BASIC_SPEC, BASIC_SPEC -> Doc) Source # parse_basic_spec :: Propositional -> Maybe (PrefixMap -> AParser st BASIC_SPEC) Source # parseSingleSymbItem :: Propositional -> Maybe (PrefixMap -> AParser st SYMB_ITEMS) Source # parse_symb_items :: Propositional -> Maybe (PrefixMap -> AParser st SYMB_ITEMS) Source # parse_symb_map_items :: Propositional -> Maybe (PrefixMap -> AParser st SYMB_MAP_ITEMS) Source # toItem :: Propositional -> BASIC_SPEC -> Item Source # symb_items_name :: Propositional -> SYMB_ITEMS -> [String] Source #
StaticAnalysis Propositional BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol Source #	Static Analysis for propositional logic
Instance details Defined in Propositional.Logic_Propositional Methods basic_analysis :: Propositional -> Maybe ((BASIC_SPEC, Sign, GlobalAnnos) -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named FORMULA])) Source # sen_analysis :: Propositional -> Maybe ((BASIC_SPEC, Sign, FORMULA) -> Result FORMULA) Source # extBasicAnalysis :: Propositional -> IRI -> LibName -> BASIC_SPEC -> Sign -> GlobalAnnos -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named FORMULA]) Source # stat_symb_map_items :: Propositional -> Sign -> Maybe Sign -> [SYMB_MAP_ITEMS] -> Result (EndoMap Symbol) Source # stat_symb_items :: Propositional -> Sign -> [SYMB_ITEMS] -> Result [Symbol] Source # convertTheory :: Propositional -> Maybe ((Sign, [Named FORMULA]) -> BASIC_SPEC) Source # ensures_amalgamability :: Propositional -> ([CASLAmalgOpt], Gr Sign (Int, Morphism), [(Int, Morphism)], Gr String String) -> Result Amalgamates Source # quotient_term_algebra :: Propositional -> Morphism -> [Named FORMULA] -> Result (Sign, [Named FORMULA]) Source # signature_colimit :: Propositional -> Gr Sign (Int, Morphism) -> Result (Sign, Map Int Morphism) Source # qualify :: Propositional -> SIMPLE_ID -> LibName -> Morphism -> Sign -> Result (Morphism, [Named FORMULA]) Source # symbol_to_raw :: Propositional -> Symbol -> Symbol Source # id_to_raw :: Propositional -> Id -> Symbol Source # matches :: Propositional -> Symbol -> Symbol -> Bool Source # empty_signature :: Propositional -> Sign Source # add_symb_to_sign :: Propositional -> Sign -> Symbol -> Result Sign Source # signature_union :: Propositional -> Sign -> Sign -> Result Sign Source # signatureDiff :: Propositional -> Sign -> Sign -> Result Sign Source # intersection :: Propositional -> Sign -> Sign -> Result Sign Source # final_union :: Propositional -> Sign -> Sign -> Result Sign Source # morphism_union :: Propositional -> Morphism -> Morphism -> Result Morphism Source # is_subsig :: Propositional -> Sign -> Sign -> Bool Source # subsig_inclusion :: Propositional -> Sign -> Sign -> Result Morphism Source # generated_sign :: Propositional -> Set Symbol -> Sign -> Result Morphism Source # cogenerated_sign :: Propositional -> Set Symbol -> Sign -> Result Morphism Source # induced_from_morphism :: Propositional -> EndoMap Symbol -> Sign -> Result Morphism Source # induced_from_to_morphism :: Propositional -> EndoMap Symbol -> ExtSign Sign Symbol -> ExtSign Sign Symbol -> Result Morphism Source # is_transportable :: Propositional -> Morphism -> Bool Source # is_injective :: Propositional -> Morphism -> Bool Source # theory_to_taxonomy :: Propositional -> TaxoGraphKind -> MMiSSOntology -> Sign -> [Named FORMULA] -> Result MMiSSOntology Source # corresp2th :: Propositional -> String -> Bool -> Sign -> Sign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> EndoMap Symbol -> EndoMap Symbol -> REL_REF -> Result (Sign, [Named FORMULA], Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # equiv2cospan :: Propositional -> Sign -> Sign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> Result (Sign, Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # extract_module :: Propositional -> [IRI] -> (Sign, [Named FORMULA]) -> Result (Sign, [Named FORMULA]) Source #
Logic Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree Source #	Instance of Logic for propositional logc
Instance details Defined in Propositional.Logic_Propositional Methods parse_basic_sen :: Propositional -> Maybe (BASIC_SPEC -> AParser st FORMULA) Source # stability :: Propositional -> Stability Source # data_logic :: Propositional -> Maybe AnyLogic Source # top_sublogic :: Propositional -> PropSL Source # all_sublogics :: Propositional -> [PropSL] Source # bottomSublogic :: Propositional -> Maybe PropSL Source # sublogicDimensions :: Propositional -> [[PropSL]] Source # parseSublogic :: Propositional -> String -> Maybe PropSL Source # proj_sublogic_epsilon :: Propositional -> PropSL -> Sign -> Morphism Source # provers :: Propositional -> [Prover Sign FORMULA Morphism PropSL ProofTree] Source # default_prover :: Propositional -> String Source # cons_checkers :: Propositional -> [ConsChecker Sign FORMULA PropSL Morphism ProofTree] Source # conservativityCheck :: Propositional -> [ConservativityChecker Sign FORMULA Morphism] Source # empty_proof_tree :: Propositional -> ProofTree Source # syntaxTable :: Propositional -> Sign -> Maybe SyntaxTable Source # omdoc_metatheory :: Propositional -> Maybe OMCD Source # export_symToOmdoc :: Propositional -> NameMap Symbol -> Symbol -> String -> Result TCElement Source # export_senToOmdoc :: Propositional -> NameMap Symbol -> FORMULA -> Result TCorOMElement Source # export_theoryToOmdoc :: Propositional -> SigMap Symbol -> Sign -> [Named FORMULA] -> Result [TCElement] Source # omdocToSym :: Propositional -> SigMapI Symbol -> TCElement -> String -> Result Symbol Source # omdocToSen :: Propositional -> SigMapI Symbol -> TCElement -> String -> Result (Maybe (Named FORMULA)) Source # addOMadtToTheory :: Propositional -> SigMapI Symbol -> (Sign, [Named FORMULA]) -> [[OmdADT]] -> Result (Sign, [Named FORMULA]) Source # addOmdocToTheory :: Propositional -> SigMapI Symbol -> (Sign, [Named FORMULA]) -> [TCElement] -> Result (Sign, [Named FORMULA]) Source # sublogicOfTheo :: Propositional -> (Sign, [FORMULA]) -> PropSL Source #
Comorphism Propositional2OWL2 Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree OWL2 ProfSub OntologyDocument Axiom SymbItems SymbMapItems Sign OWLMorphism Entity RawSymb ProofTree Source #
Instance details Defined in OWL2.Propositional2OWL2 Methods sourceLogic :: Propositional2OWL2 -> Propositional Source # sourceSublogic :: Propositional2OWL2 -> PropSL Source # sourceSublogicLossy :: Propositional2OWL2 -> PropSL Source # minSourceTheory :: Propositional2OWL2 -> Maybe (LibName, String) Source # targetLogic :: Propositional2OWL2 -> OWL2 Source # mapSublogic :: Propositional2OWL2 -> PropSL -> Maybe ProfSub Source # map_theory :: Propositional2OWL2 -> (Sign, [Named FORMULA]) -> Result (Sign0, [Named Axiom]) Source # mapMarkedTheory :: Propositional2OWL2 -> (Sign, [Named FORMULA]) -> Result (Sign0, [Named Axiom]) Source # map_morphism :: Propositional2OWL2 -> Morphism -> Result OWLMorphism Source # map_sentence :: Propositional2OWL2 -> Sign -> FORMULA -> Result Axiom Source # map_symbol :: Propositional2OWL2 -> Sign -> Symbol -> Set Entity Source # extractModel :: Propositional2OWL2 -> Sign -> ProofTree -> Result (Sign, [Named FORMULA]) Source # is_model_transportable :: Propositional2OWL2 -> Bool Source # has_model_expansion :: Propositional2OWL2 -> Bool Source # is_weakly_amalgamable :: Propositional2OWL2 -> Bool Source # constituents :: Propositional2OWL2 -> [String] Source # isInclusionComorphism :: Propositional2OWL2 -> Bool Source # rps :: Propositional2OWL2 -> Bool Source # eps :: Propositional2OWL2 -> Bool Source # isGTC :: Propositional2OWL2 -> Bool Source #
Comorphism QBF2Prop QBF QBFSL BASICSPEC FORMULA SYMBITEMS SYMBMAPITEMS Sign Morphism Symbol Symbol ProofTree Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree Source #
Instance details Defined in Comorphisms.QBF2Prop Methods sourceLogic :: QBF2Prop -> QBF Source # sourceSublogic :: QBF2Prop -> QBFSL Source # sourceSublogicLossy :: QBF2Prop -> QBFSL Source # minSourceTheory :: QBF2Prop -> Maybe (LibName, String) Source # targetLogic :: QBF2Prop -> Propositional Source # mapSublogic :: QBF2Prop -> QBFSL -> Maybe PropSL Source # map_theory :: QBF2Prop -> (Sign, [Named FORMULA]) -> Result (Sign, [Named FORMULA0]) Source # mapMarkedTheory :: QBF2Prop -> (Sign, [Named FORMULA]) -> Result (Sign, [Named FORMULA0]) Source # map_morphism :: QBF2Prop -> Morphism -> Result Morphism0 Source # map_sentence :: QBF2Prop -> Sign -> FORMULA -> Result FORMULA0 Source # map_symbol :: QBF2Prop -> Sign -> Symbol -> Set Symbol0 Source # extractModel :: QBF2Prop -> Sign -> ProofTree -> Result (Sign, [Named FORMULA]) Source # is_model_transportable :: QBF2Prop -> Bool Source # has_model_expansion :: QBF2Prop -> Bool Source # is_weakly_amalgamable :: QBF2Prop -> Bool Source # constituents :: QBF2Prop -> [String] Source # isInclusionComorphism :: QBF2Prop -> Bool Source # rps :: QBF2Prop -> Bool Source # eps :: QBF2Prop -> Bool Source # isGTC :: QBF2Prop -> Bool Source #
Comorphism Prop2QBF Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree QBF QBFSL BASICSPEC FORMULA SYMBITEMS SYMBMAPITEMS Sign Morphism Symbol Symbol ProofTree Source #
Instance details Defined in Comorphisms.Prop2QBF Methods sourceLogic :: Prop2QBF -> Propositional Source # sourceSublogic :: Prop2QBF -> PropSL Source # sourceSublogicLossy :: Prop2QBF -> PropSL Source # minSourceTheory :: Prop2QBF -> Maybe (LibName, String) Source # targetLogic :: Prop2QBF -> QBF Source # mapSublogic :: Prop2QBF -> PropSL -> Maybe QBFSL Source # map_theory :: Prop2QBF -> (Sign, [Named FORMULA0]) -> Result (Sign, [Named FORMULA]) Source # mapMarkedTheory :: Prop2QBF -> (Sign, [Named FORMULA0]) -> Result (Sign, [Named FORMULA]) Source # map_morphism :: Prop2QBF -> Morphism0 -> Result Morphism Source # map_sentence :: Prop2QBF -> Sign -> FORMULA0 -> Result FORMULA Source # map_symbol :: Prop2QBF -> Sign -> Symbol0 -> Set Symbol Source # extractModel :: Prop2QBF -> Sign -> ProofTree -> Result (Sign, [Named FORMULA0]) Source # is_model_transportable :: Prop2QBF -> Bool Source # has_model_expansion :: Prop2QBF -> Bool Source # is_weakly_amalgamable :: Prop2QBF -> Bool Source # constituents :: Prop2QBF -> [String] Source # isInclusionComorphism :: Prop2QBF -> Bool Source # rps :: Prop2QBF -> Bool Source # eps :: Prop2QBF -> Bool Source # isGTC :: Prop2QBF -> Bool Source #
Comorphism Prop2CommonLogic Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree CommonLogic CommonLogicSL BASIC_SPEC TEXT_META SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree Source #
Instance details Defined in Comorphisms.Prop2CommonLogic Methods sourceLogic :: Prop2CommonLogic -> Propositional Source # sourceSublogic :: Prop2CommonLogic -> PropSL Source # sourceSublogicLossy :: Prop2CommonLogic -> PropSL Source # minSourceTheory :: Prop2CommonLogic -> Maybe (LibName, String) Source # targetLogic :: Prop2CommonLogic -> CommonLogic Source # mapSublogic :: Prop2CommonLogic -> PropSL -> Maybe CommonLogicSL Source # map_theory :: Prop2CommonLogic -> (Sign, [Named FORMULA]) -> Result (Sign0, [Named TEXT_META]) Source # mapMarkedTheory :: Prop2CommonLogic -> (Sign, [Named FORMULA]) -> Result (Sign0, [Named TEXT_META]) Source # map_morphism :: Prop2CommonLogic -> Morphism -> Result Morphism0 Source # map_sentence :: Prop2CommonLogic -> Sign -> FORMULA -> Result TEXT_META Source # map_symbol :: Prop2CommonLogic -> Sign -> Symbol -> Set Symbol0 Source # extractModel :: Prop2CommonLogic -> Sign -> ProofTree -> Result (Sign, [Named FORMULA]) Source # is_model_transportable :: Prop2CommonLogic -> Bool Source # has_model_expansion :: Prop2CommonLogic -> Bool Source # is_weakly_amalgamable :: Prop2CommonLogic -> Bool Source # constituents :: Prop2CommonLogic -> [String] Source # isInclusionComorphism :: Prop2CommonLogic -> Bool Source # rps :: Prop2CommonLogic -> Bool Source # eps :: Prop2CommonLogic -> Bool Source # isGTC :: Prop2CommonLogic -> Bool Source #
Comorphism Prop2CASL Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree CASL CASL_Sublogics CASLBasicSpec CASLFORMULA SYMB_ITEMS SYMB_MAP_ITEMS CASLSign CASLMor Symbol RawSymbol ProofTree Source #
Instance details Defined in Comorphisms.Prop2CASL Methods sourceLogic :: Prop2CASL -> Propositional Source # sourceSublogic :: Prop2CASL -> PropSL Source # sourceSublogicLossy :: Prop2CASL -> PropSL Source # minSourceTheory :: Prop2CASL -> Maybe (LibName, String) Source # targetLogic :: Prop2CASL -> CASL Source # mapSublogic :: Prop2CASL -> PropSL -> Maybe CASL_Sublogics Source # map_theory :: Prop2CASL -> (Sign, [Named FORMULA]) -> Result (CASLSign, [Named CASLFORMULA]) Source # mapMarkedTheory :: Prop2CASL -> (Sign, [Named FORMULA]) -> Result (CASLSign, [Named CASLFORMULA]) Source # map_morphism :: Prop2CASL -> Morphism -> Result CASLMor Source # map_sentence :: Prop2CASL -> Sign -> FORMULA -> Result CASLFORMULA Source # map_symbol :: Prop2CASL -> Sign -> Symbol -> Set Symbol0 Source # extractModel :: Prop2CASL -> Sign -> ProofTree -> Result (Sign, [Named FORMULA]) Source # is_model_transportable :: Prop2CASL -> Bool Source # has_model_expansion :: Prop2CASL -> Bool Source # is_weakly_amalgamable :: Prop2CASL -> Bool Source # constituents :: Prop2CASL -> [String] Source # isInclusionComorphism :: Prop2CASL -> Bool Source # rps :: Prop2CASL -> Bool Source # eps :: Prop2CASL -> Bool Source # isGTC :: Prop2CASL -> Bool Source #
Comorphism CASL2Prop CASL CASL_Sublogics CASLBasicSpec CASLFORMULA SYMB_ITEMS SYMB_MAP_ITEMS CASLSign CASLMor Symbol RawSymbol ProofTree Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree Source #
Instance details Defined in Comorphisms.CASL2Prop Methods sourceLogic :: CASL2Prop -> CASL Source # sourceSublogic :: CASL2Prop -> CASL_Sublogics Source # sourceSublogicLossy :: CASL2Prop -> CASL_Sublogics Source # minSourceTheory :: CASL2Prop -> Maybe (LibName, String) Source # targetLogic :: CASL2Prop -> Propositional Source # mapSublogic :: CASL2Prop -> CASL_Sublogics -> Maybe PropSL Source # map_theory :: CASL2Prop -> (CASLSign, [Named CASLFORMULA]) -> Result (Sign, [Named FORMULA]) Source # mapMarkedTheory :: CASL2Prop -> (CASLSign, [Named CASLFORMULA]) -> Result (Sign, [Named FORMULA]) Source # map_morphism :: CASL2Prop -> CASLMor -> Result Morphism Source # map_sentence :: CASL2Prop -> CASLSign -> CASLFORMULA -> Result FORMULA Source # map_symbol :: CASL2Prop -> CASLSign -> Symbol0 -> Set Symbol Source # extractModel :: CASL2Prop -> CASLSign -> ProofTree -> Result (CASLSign, [Named CASLFORMULA]) Source # is_model_transportable :: CASL2Prop -> Bool Source # has_model_expansion :: CASL2Prop -> Bool Source # is_weakly_amalgamable :: CASL2Prop -> Bool Source # constituents :: CASL2Prop -> [String] Source # isInclusionComorphism :: CASL2Prop -> Bool Source # rps :: CASL2Prop -> Bool Source # eps :: CASL2Prop -> Bool Source # isGTC :: CASL2Prop -> Bool Source #

Orphan instances

Semigroup BASIC_SPEC Source #
Instance details Methods (<>) :: BASIC_SPEC -> BASIC_SPEC -> BASIC_SPEC # sconcat :: NonEmpty BASIC_SPEC -> BASIC_SPEC stimes :: Integral b => b -> BASIC_SPEC -> BASIC_SPEC
Monoid BASIC_SPEC Source #
Instance details Methods mempty :: BASIC_SPEC mappend :: BASIC_SPEC -> BASIC_SPEC -> BASIC_SPEC mconcat :: [BASIC_SPEC] -> BASIC_SPEC
SublogicName PropSL Source #
Instance details Methods sublogicName :: PropSL -> String Source #
SemiLatticeWithTop PropSL Source #	Sublogics
Instance details Methods lub :: PropSL -> PropSL -> PropSL Source # top :: PropSL Source #
ProjectSublogicM PropSL SYMB_MAP_ITEMS Source #
Instance details Methods projectSublogicM :: PropSL -> SYMB_MAP_ITEMS -> Maybe SYMB_MAP_ITEMS Source #
ProjectSublogicM PropSL SYMB_ITEMS Source #
Instance details Methods projectSublogicM :: PropSL -> SYMB_ITEMS -> Maybe SYMB_ITEMS Source #
ProjectSublogicM PropSL FORMULA Source #
Instance details Methods projectSublogicM :: PropSL -> FORMULA -> Maybe FORMULA Source #
ProjectSublogicM PropSL Symbol Source #
Instance details Methods projectSublogicM :: PropSL -> Symbol -> Maybe Symbol Source #
ProjectSublogic PropSL BASIC_SPEC Source #
Instance details Methods projectSublogic :: PropSL -> BASIC_SPEC -> BASIC_SPEC Source #
ProjectSublogic PropSL Sign Source #
Instance details Methods projectSublogic :: PropSL -> Sign -> Sign Source #
ProjectSublogic PropSL Morphism Source #
Instance details Methods projectSublogic :: PropSL -> Morphism -> Morphism Source #
MinSublogic PropSL SYMB_MAP_ITEMS Source #
Instance details Methods minSublogic :: SYMB_MAP_ITEMS -> PropSL Source #
MinSublogic PropSL SYMB_ITEMS Source #
Instance details Methods minSublogic :: SYMB_ITEMS -> PropSL Source #
MinSublogic PropSL FORMULA Source #
Instance details Methods minSublogic :: FORMULA -> PropSL Source #
MinSublogic PropSL BASIC_SPEC Source #
Instance details Methods minSublogic :: BASIC_SPEC -> PropSL Source #
MinSublogic PropSL Sign Source #
Instance details Methods minSublogic :: Sign -> PropSL Source #
MinSublogic PropSL Morphism Source #
Instance details Methods minSublogic :: Morphism -> PropSL Source #
MinSublogic PropSL Symbol Source #
Instance details Methods minSublogic :: Symbol -> PropSL Source #
Category Sign Morphism Source #	Instance of Category for propositional logic
Instance details Methods ide :: Sign -> Morphism Source # composeMorphisms :: Morphism -> Morphism -> Result Morphism Source # dom :: Morphism -> Sign Source # cod :: Morphism -> Sign Source # inverse :: Morphism -> Result Morphism Source # isInclusion :: Morphism -> Bool Source # legal_mor :: Morphism -> Result () Source #