Copyright	(c) Till Mossakowski C. Maeder Uni Bremen 2004
License	GPLv2 or higher, see LICENSE.txt
Maintainer	till@informatik.uni-bremen.de
Stability	provisional
Portability	portable
Safe Haskell	Safe

Modal.ModalSign

Description

Signatures for modal logic, as extension of CASL signatures.

Documentation

data ModalSign Source #

Constructors

ModalSign
Fields flexOps :: OpMap flexPreds :: PredMap modies :: Map SIMPLE_ID [AnModFORM] termModies :: Map Id [AnModFORM]

Instances

Instances details

Eq ModalSign Source #
Instance details Defined in Modal.ModalSign Methods (==) :: ModalSign -> ModalSign -> Bool (/=) :: ModalSign -> ModalSign -> Bool
Data ModalSign Source #
Instance details Defined in Modal.ModalSign Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ModalSign -> c ModalSign gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ModalSign toConstr :: ModalSign -> Constr dataTypeOf :: ModalSign -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ModalSign) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ModalSign) gmapT :: (forall b. Data b => b -> b) -> ModalSign -> ModalSign gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ModalSign -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ModalSign -> r gmapQ :: (forall d. Data d => d -> u) -> ModalSign -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> ModalSign -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> ModalSign -> m ModalSign gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ModalSign -> m ModalSign gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ModalSign -> m ModalSign
Ord ModalSign Source #
Instance details Defined in Modal.ModalSign Methods compare :: ModalSign -> ModalSign -> Ordering (<) :: ModalSign -> ModalSign -> Bool (<=) :: ModalSign -> ModalSign -> Bool (>) :: ModalSign -> ModalSign -> Bool (>=) :: ModalSign -> ModalSign -> Bool max :: ModalSign -> ModalSign -> ModalSign min :: ModalSign -> ModalSign -> ModalSign
Show ModalSign Source #
Instance details Defined in Modal.ModalSign Methods showsPrec :: Int -> ModalSign -> ShowS show :: ModalSign -> String showList :: [ModalSign] -> ShowS
Generic ModalSign
Instance details Defined in Modal.ATC_Modal Associated Types type Rep ModalSign :: Type -> Type Methods from :: ModalSign -> Rep ModalSign x to :: Rep ModalSign x -> ModalSign
FromJSON ModalSign
Instance details Defined in Modal.ATC_Modal Methods parseJSON :: Value -> Parser ModalSign parseJSONList :: Value -> Parser [ModalSign]
ToJSON ModalSign
Instance details Defined in Modal.ATC_Modal Methods toJSON :: ModalSign -> Value toEncoding :: ModalSign -> Encoding toJSONList :: [ModalSign] -> Value toEncodingList :: [ModalSign] -> Encoding
ShATermConvertible ModalSign
Instance details Defined in Modal.ATC_Modal Methods toShATermAux :: ATermTable -> ModalSign -> IO (ATermTable, Int) toShATermList' :: ATermTable -> [ModalSign] -> IO (ATermTable, Int) fromShATermAux :: Int -> ATermTable -> (ATermTable, ModalSign) fromShATermList' :: Int -> ATermTable -> (ATermTable, [ModalSign])
Pretty ModalSign Source #
Instance details Defined in Modal.Print_AS Methods pretty :: ModalSign -> Doc Source # pretties :: [ModalSign] -> Doc Source #
SignExtension ModalSign Source #
Instance details Defined in Modal.Logic_Modal Methods isSubSignExtension :: ModalSign -> ModalSign -> Bool Source #
Sentences Modal ModalFORMULA MSign ModalMor Symbol Source #
Instance details Defined in Modal.Logic_Modal Methods map_sen :: Modal -> ModalMor -> ModalFORMULA -> Result ModalFORMULA Source # simplify_sen :: Modal -> MSign -> ModalFORMULA -> ModalFORMULA Source # negation :: Modal -> ModalFORMULA -> Maybe ModalFORMULA Source # print_sign :: Modal -> MSign -> Doc Source # print_named :: Modal -> Named ModalFORMULA -> Doc Source # sym_of :: Modal -> MSign -> [Set Symbol] Source # mostSymsOf :: Modal -> MSign -> [Symbol] Source # symmap_of :: Modal -> ModalMor -> EndoMap Symbol Source # sym_name :: Modal -> Symbol -> Id Source # sym_label :: Modal -> Symbol -> Maybe String Source # fullSymName :: Modal -> Symbol -> String Source # symKind :: Modal -> Symbol -> String Source # symsOfSen :: Modal -> MSign -> ModalFORMULA -> [Symbol] Source # pair_symbols :: Modal -> Symbol -> Symbol -> Result Symbol Source #
StaticAnalysis Modal M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS MSign ModalMor Symbol RawSymbol Source #
Instance details Defined in Modal.Logic_Modal Methods basic_analysis :: Modal -> Maybe ((M_BASIC_SPEC, MSign, GlobalAnnos) -> Result (M_BASIC_SPEC, ExtSign MSign Symbol, [Named ModalFORMULA])) Source # sen_analysis :: Modal -> Maybe ((M_BASIC_SPEC, MSign, ModalFORMULA) -> Result ModalFORMULA) Source # extBasicAnalysis :: Modal -> IRI -> LibName -> M_BASIC_SPEC -> MSign -> GlobalAnnos -> Result (M_BASIC_SPEC, ExtSign MSign Symbol, [Named ModalFORMULA]) Source # stat_symb_map_items :: Modal -> MSign -> Maybe MSign -> [SYMB_MAP_ITEMS] -> Result (EndoMap RawSymbol) Source # stat_symb_items :: Modal -> MSign -> [SYMB_ITEMS] -> Result [RawSymbol] Source # convertTheory :: Modal -> Maybe ((MSign, [Named ModalFORMULA]) -> M_BASIC_SPEC) Source # ensures_amalgamability :: Modal -> ([CASLAmalgOpt], Gr MSign (Int, ModalMor), [(Int, ModalMor)], Gr String String) -> Result Amalgamates Source # quotient_term_algebra :: Modal -> ModalMor -> [Named ModalFORMULA] -> Result (MSign, [Named ModalFORMULA]) Source # signature_colimit :: Modal -> Gr MSign (Int, ModalMor) -> Result (MSign, Map Int ModalMor) Source # qualify :: Modal -> SIMPLE_ID -> LibName -> ModalMor -> MSign -> Result (ModalMor, [Named ModalFORMULA]) Source # symbol_to_raw :: Modal -> Symbol -> RawSymbol Source # id_to_raw :: Modal -> Id -> RawSymbol Source # matches :: Modal -> Symbol -> RawSymbol -> Bool Source # empty_signature :: Modal -> MSign Source # add_symb_to_sign :: Modal -> MSign -> Symbol -> Result MSign Source # signature_union :: Modal -> MSign -> MSign -> Result MSign Source # signatureDiff :: Modal -> MSign -> MSign -> Result MSign Source # intersection :: Modal -> MSign -> MSign -> Result MSign Source # final_union :: Modal -> MSign -> MSign -> Result MSign Source # morphism_union :: Modal -> ModalMor -> ModalMor -> Result ModalMor Source # is_subsig :: Modal -> MSign -> MSign -> Bool Source # subsig_inclusion :: Modal -> MSign -> MSign -> Result ModalMor Source # generated_sign :: Modal -> Set Symbol -> MSign -> Result ModalMor Source # cogenerated_sign :: Modal -> Set Symbol -> MSign -> Result ModalMor Source # induced_from_morphism :: Modal -> EndoMap RawSymbol -> MSign -> Result ModalMor Source # induced_from_to_morphism :: Modal -> EndoMap RawSymbol -> ExtSign MSign Symbol -> ExtSign MSign Symbol -> Result ModalMor Source # is_transportable :: Modal -> ModalMor -> Bool Source # is_injective :: Modal -> ModalMor -> Bool Source # theory_to_taxonomy :: Modal -> TaxoGraphKind -> MMiSSOntology -> MSign -> [Named ModalFORMULA] -> Result MMiSSOntology Source # corresp2th :: Modal -> String -> Bool -> MSign -> MSign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> EndoMap Symbol -> EndoMap Symbol -> REL_REF -> Result (MSign, [Named ModalFORMULA], MSign, MSign, EndoMap Symbol, EndoMap Symbol) Source # equiv2cospan :: Modal -> MSign -> MSign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> Result (MSign, MSign, MSign, EndoMap Symbol, EndoMap Symbol) Source # extract_module :: Modal -> [IRI] -> (MSign, [Named ModalFORMULA]) -> Result (MSign, [Named ModalFORMULA]) Source #
Logic Modal () M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS MSign ModalMor Symbol RawSymbol () Source #
Instance details Defined in Modal.Logic_Modal Methods parse_basic_sen :: Modal -> Maybe (M_BASIC_SPEC -> AParser st ModalFORMULA) Source # stability :: Modal -> Stability Source # data_logic :: Modal -> Maybe AnyLogic Source # top_sublogic :: Modal -> () Source # all_sublogics :: Modal -> [()] Source # bottomSublogic :: Modal -> Maybe () Source # sublogicDimensions :: Modal -> [[()]] Source # parseSublogic :: Modal -> String -> Maybe () Source # proj_sublogic_epsilon :: Modal -> () -> MSign -> ModalMor Source # provers :: Modal -> [Prover MSign ModalFORMULA ModalMor () ()] Source # default_prover :: Modal -> String Source # cons_checkers :: Modal -> [ConsChecker MSign ModalFORMULA () ModalMor ()] Source # conservativityCheck :: Modal -> [ConservativityChecker MSign ModalFORMULA ModalMor] Source # empty_proof_tree :: Modal -> () Source # syntaxTable :: Modal -> MSign -> Maybe SyntaxTable Source # omdoc_metatheory :: Modal -> Maybe OMCD Source # export_symToOmdoc :: Modal -> NameMap Symbol -> Symbol -> String -> Result TCElement Source # export_senToOmdoc :: Modal -> NameMap Symbol -> ModalFORMULA -> Result TCorOMElement Source # export_theoryToOmdoc :: Modal -> SigMap Symbol -> MSign -> [Named ModalFORMULA] -> Result [TCElement] Source # omdocToSym :: Modal -> SigMapI Symbol -> TCElement -> String -> Result Symbol Source # omdocToSen :: Modal -> SigMapI Symbol -> TCElement -> String -> Result (Maybe (Named ModalFORMULA)) Source # addOMadtToTheory :: Modal -> SigMapI Symbol -> (MSign, [Named ModalFORMULA]) -> [[OmdADT]] -> Result (MSign, [Named ModalFORMULA]) Source # addOmdocToTheory :: Modal -> SigMapI Symbol -> (MSign, [Named ModalFORMULA]) -> [TCElement] -> Result (MSign, [Named ModalFORMULA]) Source # sublogicOfTheo :: Modal -> (MSign, [ModalFORMULA]) -> () Source #
Comorphism Modal2CASL Modal () M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS MSign ModalMor Symbol RawSymbol () CASL CASL_Sublogics CASLBasicSpec CASLFORMULA SYMB_ITEMS SYMB_MAP_ITEMS CASLSign CASLMor Symbol RawSymbol ProofTree Source #
Instance details Defined in Comorphisms.Modal2CASL Methods sourceLogic :: Modal2CASL -> Modal Source # sourceSublogic :: Modal2CASL -> () Source # sourceSublogicLossy :: Modal2CASL -> () Source # minSourceTheory :: Modal2CASL -> Maybe (LibName, String) Source # targetLogic :: Modal2CASL -> CASL Source # mapSublogic :: Modal2CASL -> () -> Maybe CASL_Sublogics Source # map_theory :: Modal2CASL -> (MSign, [Named ModalFORMULA]) -> Result (CASLSign, [Named CASLFORMULA]) Source # mapMarkedTheory :: Modal2CASL -> (MSign, [Named ModalFORMULA]) -> Result (CASLSign, [Named CASLFORMULA]) Source # map_morphism :: Modal2CASL -> ModalMor -> Result CASLMor Source # map_sentence :: Modal2CASL -> MSign -> ModalFORMULA -> Result CASLFORMULA Source # map_symbol :: Modal2CASL -> MSign -> Symbol -> Set Symbol Source # extractModel :: Modal2CASL -> MSign -> ProofTree -> Result (MSign, [Named ModalFORMULA]) Source # is_model_transportable :: Modal2CASL -> Bool Source # has_model_expansion :: Modal2CASL -> Bool Source # is_weakly_amalgamable :: Modal2CASL -> Bool Source # constituents :: Modal2CASL -> [String] Source # isInclusionComorphism :: Modal2CASL -> Bool Source # rps :: Modal2CASL -> Bool Source # eps :: Modal2CASL -> Bool Source # isGTC :: Modal2CASL -> Bool Source #
Comorphism CspCASL2Modal CspCASL () CspBasicSpec CspCASLSen CspSymbItems CspSymbMapItems CspCASLSign CspCASLMorphism CspSymbol CspRawSymbol () Modal () M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS MSign ModalMor Symbol RawSymbol () Source #
Instance details Defined in Comorphisms.CspCASL2Modal Methods sourceLogic :: CspCASL2Modal -> CspCASL Source # sourceSublogic :: CspCASL2Modal -> () Source # sourceSublogicLossy :: CspCASL2Modal -> () Source # minSourceTheory :: CspCASL2Modal -> Maybe (LibName, String) Source # targetLogic :: CspCASL2Modal -> Modal Source # mapSublogic :: CspCASL2Modal -> () -> Maybe () Source # map_theory :: CspCASL2Modal -> (CspCASLSign, [Named CspCASLSen]) -> Result (MSign, [Named ModalFORMULA]) Source # mapMarkedTheory :: CspCASL2Modal -> (CspCASLSign, [Named CspCASLSen]) -> Result (MSign, [Named ModalFORMULA]) Source # map_morphism :: CspCASL2Modal -> CspCASLMorphism -> Result ModalMor Source # map_sentence :: CspCASL2Modal -> CspCASLSign -> CspCASLSen -> Result ModalFORMULA Source # map_symbol :: CspCASL2Modal -> CspCASLSign -> CspSymbol -> Set Symbol Source # extractModel :: CspCASL2Modal -> CspCASLSign -> () -> Result (CspCASLSign, [Named CspCASLSen]) Source # is_model_transportable :: CspCASL2Modal -> Bool Source # has_model_expansion :: CspCASL2Modal -> Bool Source # is_weakly_amalgamable :: CspCASL2Modal -> Bool Source # constituents :: CspCASL2Modal -> [String] Source # isInclusionComorphism :: CspCASL2Modal -> Bool Source # rps :: CspCASL2Modal -> Bool Source # eps :: CspCASL2Modal -> Bool Source # isGTC :: CspCASL2Modal -> Bool Source #
Comorphism CASL2Modal CASL CASL_Sublogics CASLBasicSpec CASLFORMULA SYMB_ITEMS SYMB_MAP_ITEMS CASLSign CASLMor Symbol RawSymbol ProofTree Modal () M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS MSign ModalMor Symbol RawSymbol () Source #
Instance details Defined in Comorphisms.CASL2Modal Methods sourceLogic :: CASL2Modal -> CASL Source # sourceSublogic :: CASL2Modal -> CASL_Sublogics Source # sourceSublogicLossy :: CASL2Modal -> CASL_Sublogics Source # minSourceTheory :: CASL2Modal -> Maybe (LibName, String) Source # targetLogic :: CASL2Modal -> Modal Source # mapSublogic :: CASL2Modal -> CASL_Sublogics -> Maybe () Source # map_theory :: CASL2Modal -> (CASLSign, [Named CASLFORMULA]) -> Result (MSign, [Named ModalFORMULA]) Source # mapMarkedTheory :: CASL2Modal -> (CASLSign, [Named CASLFORMULA]) -> Result (MSign, [Named ModalFORMULA]) Source # map_morphism :: CASL2Modal -> CASLMor -> Result ModalMor Source # map_sentence :: CASL2Modal -> CASLSign -> CASLFORMULA -> Result ModalFORMULA Source # map_symbol :: CASL2Modal -> CASLSign -> Symbol -> Set Symbol Source # extractModel :: CASL2Modal -> CASLSign -> () -> Result (CASLSign, [Named CASLFORMULA]) Source # is_model_transportable :: CASL2Modal -> Bool Source # has_model_expansion :: CASL2Modal -> Bool Source # is_weakly_amalgamable :: CASL2Modal -> Bool Source # constituents :: CASL2Modal -> [String] Source # isInclusionComorphism :: CASL2Modal -> Bool Source # rps :: CASL2Modal -> Bool Source # eps :: CASL2Modal -> Bool Source # isGTC :: CASL2Modal -> Bool Source #
type Rep ModalSign
Instance details Defined in Modal.ATC_Modal type Rep ModalSign = D1 ('MetaData "ModalSign" "Modal.ModalSign" "main" 'False) (C1 ('MetaCons "ModalSign" 'PrefixI 'True) ((S1 ('MetaSel ('Just "flexOps") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 OpMap) :: S1 ('MetaSel ('Just "flexPreds") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 PredMap)) :: (S1 ('MetaSel ('Just "modies") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Map SIMPLE_ID [AnModFORM])) :*: S1 ('MetaSel ('Just "termModies") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Map Id [AnModFORM])))))

emptyModalSign :: ModalSign Source #

addModalSign :: ModalSign -> ModalSign -> ModalSign Source #

interMap :: Ord a => ([b] -> [b] -> [b]) -> Map a [b] -> Map a [b] -> Map a [b] Source #

interModalSign :: ModalSign -> ModalSign -> ModalSign Source #

diffModalSign :: ModalSign -> ModalSign -> ModalSign Source #

isSubModalSign :: ModalSign -> ModalSign -> Bool Source #