Copyright	(c) Dominik Luecke Uni Bremen 2007
License	GPLv2 or higher, see LICENSE.txt
Maintainer	luecke@informatik.uni-bremen.de
Stability	experimental
Portability	portable Definition of signatures for propositional logic Ref. Till Mossakowski, Joseph Goguen, Razvan Diaconescu, Andrzej Tarlecki. What is a Logic?. In Jean-Yves Beziau (Ed.), Logica Universalis, pp. 113-@133. Birkhaeuser. 2005.
Safe Haskell	Safe

Temporal.Sign

Description

Synopsis

newtype Sign = Sign {
- items :: Set Id
}
pretty :: Pretty a => a -> Doc
isLegalSignature :: Sign -> Bool
addToSig :: Sign -> Id -> Sign
unite :: Sign -> Sign -> Sign
emptySig :: Sign
isSubSigOf :: Sign -> Sign -> Bool
sigDiff :: Sign -> Sign -> Sign
sigUnion :: Sign -> Sign -> Result Sign

Documentation

newtype Sign Source #

Datatype for propositional Signatures Signatures are just sets

Constructors

Sign
Fields items :: Set Id

Instances

Instances details

Eq Sign Source #
Instance details Defined in Temporal.Sign Methods (==) :: Sign -> Sign -> Bool (/=) :: Sign -> Sign -> Bool
Ord Sign Source #
Instance details Defined in Temporal.Sign Methods compare :: Sign -> Sign -> Ordering (<) :: Sign -> Sign -> Bool (<=) :: Sign -> Sign -> Bool (>) :: Sign -> Sign -> Bool (>=) :: Sign -> Sign -> Bool max :: Sign -> Sign -> Sign min :: Sign -> Sign -> Sign
Show Sign Source #
Instance details Defined in Temporal.Sign Methods showsPrec :: Int -> Sign -> ShowS show :: Sign -> String showList :: [Sign] -> ShowS
Generic Sign
Instance details Defined in Temporal.ATC_Temporal Associated Types type Rep Sign :: Type -> Type Methods from :: Sign -> Rep Sign x to :: Rep Sign x -> Sign
FromJSON Sign
Instance details Defined in Temporal.ATC_Temporal Methods parseJSON :: Value -> Parser Sign parseJSONList :: Value -> Parser [Sign]
ToJSON Sign
Instance details Defined in Temporal.ATC_Temporal Methods toJSON :: Sign -> Value toEncoding :: Sign -> Encoding toJSONList :: [Sign] -> Value toEncodingList :: [Sign] -> Encoding
ShATermConvertible Sign
Instance details Defined in Temporal.ATC_Temporal Methods toShATermAux :: ATermTable -> Sign -> IO (ATermTable, Int) toShATermList' :: ATermTable -> [Sign] -> IO (ATermTable, Int) fromShATermAux :: Int -> ATermTable -> (ATermTable, Sign) fromShATermList' :: Int -> ATermTable -> (ATermTable, [Sign])
Pretty Sign Source #
Instance details Defined in Temporal.Sign Methods pretty :: Sign -> Doc Source # pretties :: [Sign] -> Doc Source #
Category Sign Morphism Source #	Instance of Category for temporal logic
Instance details Defined in Temporal.Logic_Temporal 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 #
Sentences Temporal FORMULA Sign Morphism Symbol Source #	Instance of Sentences for temporal logic
Instance details Defined in Temporal.Logic_Temporal Methods map_sen :: Temporal -> Morphism -> FORMULA -> Result FORMULA Source # simplify_sen :: Temporal -> Sign -> FORMULA -> FORMULA Source # negation :: Temporal -> FORMULA -> Maybe FORMULA Source # print_sign :: Temporal -> Sign -> Doc Source # print_named :: Temporal -> Named FORMULA -> Doc Source # sym_of :: Temporal -> Sign -> [Set Symbol] Source # mostSymsOf :: Temporal -> Sign -> [Symbol] Source # symmap_of :: Temporal -> Morphism -> EndoMap Symbol Source # sym_name :: Temporal -> Symbol -> Id Source # sym_label :: Temporal -> Symbol -> Maybe String Source # fullSymName :: Temporal -> Symbol -> String Source # symKind :: Temporal -> Symbol -> String Source # symsOfSen :: Temporal -> Sign -> FORMULA -> [Symbol] Source # pair_symbols :: Temporal -> Symbol -> Symbol -> Result Symbol Source #
StaticAnalysis Temporal BASIC_SPEC FORMULA () () Sign Morphism Symbol Symbol Source #	Static Analysis for propositional logic
Instance details Defined in Temporal.Logic_Temporal Methods basic_analysis :: Temporal -> Maybe ((BASIC_SPEC, Sign, GlobalAnnos) -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named FORMULA])) Source # sen_analysis :: Temporal -> Maybe ((BASIC_SPEC, Sign, FORMULA) -> Result FORMULA) Source # extBasicAnalysis :: Temporal -> IRI -> LibName -> BASIC_SPEC -> Sign -> GlobalAnnos -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named FORMULA]) Source # stat_symb_map_items :: Temporal -> Sign -> Maybe Sign -> [()] -> Result (EndoMap Symbol) Source # stat_symb_items :: Temporal -> Sign -> [()] -> Result [Symbol] Source # convertTheory :: Temporal -> Maybe ((Sign, [Named FORMULA]) -> BASIC_SPEC) Source # ensures_amalgamability :: Temporal -> ([CASLAmalgOpt], Gr Sign (Int, Morphism), [(Int, Morphism)], Gr String String) -> Result Amalgamates Source # quotient_term_algebra :: Temporal -> Morphism -> [Named FORMULA] -> Result (Sign, [Named FORMULA]) Source # signature_colimit :: Temporal -> Gr Sign (Int, Morphism) -> Result (Sign, Map Int Morphism) Source # qualify :: Temporal -> SIMPLE_ID -> LibName -> Morphism -> Sign -> Result (Morphism, [Named FORMULA]) Source # symbol_to_raw :: Temporal -> Symbol -> Symbol Source # id_to_raw :: Temporal -> Id -> Symbol Source # matches :: Temporal -> Symbol -> Symbol -> Bool Source # empty_signature :: Temporal -> Sign Source # add_symb_to_sign :: Temporal -> Sign -> Symbol -> Result Sign Source # signature_union :: Temporal -> Sign -> Sign -> Result Sign Source # signatureDiff :: Temporal -> Sign -> Sign -> Result Sign Source # intersection :: Temporal -> Sign -> Sign -> Result Sign Source # final_union :: Temporal -> Sign -> Sign -> Result Sign Source # morphism_union :: Temporal -> Morphism -> Morphism -> Result Morphism Source # is_subsig :: Temporal -> Sign -> Sign -> Bool Source # subsig_inclusion :: Temporal -> Sign -> Sign -> Result Morphism Source # generated_sign :: Temporal -> Set Symbol -> Sign -> Result Morphism Source # cogenerated_sign :: Temporal -> Set Symbol -> Sign -> Result Morphism Source # induced_from_morphism :: Temporal -> EndoMap Symbol -> Sign -> Result Morphism Source # induced_from_to_morphism :: Temporal -> EndoMap Symbol -> ExtSign Sign Symbol -> ExtSign Sign Symbol -> Result Morphism Source # is_transportable :: Temporal -> Morphism -> Bool Source # is_injective :: Temporal -> Morphism -> Bool Source # theory_to_taxonomy :: Temporal -> TaxoGraphKind -> MMiSSOntology -> Sign -> [Named FORMULA] -> Result MMiSSOntology Source # corresp2th :: Temporal -> String -> Bool -> Sign -> Sign -> [()] -> [()] -> EndoMap Symbol -> EndoMap Symbol -> REL_REF -> Result (Sign, [Named FORMULA], Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # equiv2cospan :: Temporal -> Sign -> Sign -> [()] -> [()] -> Result (Sign, Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # extract_module :: Temporal -> [IRI] -> (Sign, [Named FORMULA]) -> Result (Sign, [Named FORMULA]) Source #
Logic Temporal () BASIC_SPEC FORMULA () () Sign Morphism Symbol Symbol () Source #	Instance of Logic for propositional logc
Instance details Defined in Temporal.Logic_Temporal Methods parse_basic_sen :: Temporal -> Maybe (BASIC_SPEC -> AParser st FORMULA) Source # stability :: Temporal -> Stability Source # data_logic :: Temporal -> Maybe AnyLogic Source # top_sublogic :: Temporal -> () Source # all_sublogics :: Temporal -> [()] Source # bottomSublogic :: Temporal -> Maybe () Source # sublogicDimensions :: Temporal -> [[()]] Source # parseSublogic :: Temporal -> String -> Maybe () Source # proj_sublogic_epsilon :: Temporal -> () -> Sign -> Morphism Source # provers :: Temporal -> [Prover Sign FORMULA Morphism () ()] Source # default_prover :: Temporal -> String Source # cons_checkers :: Temporal -> [ConsChecker Sign FORMULA () Morphism ()] Source # conservativityCheck :: Temporal -> [ConservativityChecker Sign FORMULA Morphism] Source # empty_proof_tree :: Temporal -> () Source # syntaxTable :: Temporal -> Sign -> Maybe SyntaxTable Source # omdoc_metatheory :: Temporal -> Maybe OMCD Source # export_symToOmdoc :: Temporal -> NameMap Symbol -> Symbol -> String -> Result TCElement Source # export_senToOmdoc :: Temporal -> NameMap Symbol -> FORMULA -> Result TCorOMElement Source # export_theoryToOmdoc :: Temporal -> SigMap Symbol -> Sign -> [Named FORMULA] -> Result [TCElement] Source # omdocToSym :: Temporal -> SigMapI Symbol -> TCElement -> String -> Result Symbol Source # omdocToSen :: Temporal -> SigMapI Symbol -> TCElement -> String -> Result (Maybe (Named FORMULA)) Source # addOMadtToTheory :: Temporal -> SigMapI Symbol -> (Sign, [Named FORMULA]) -> [[OmdADT]] -> Result (Sign, [Named FORMULA]) Source # addOmdocToTheory :: Temporal -> SigMapI Symbol -> (Sign, [Named FORMULA]) -> [TCElement] -> Result (Sign, [Named FORMULA]) Source # sublogicOfTheo :: Temporal -> (Sign, [FORMULA]) -> () Source #
type Rep Sign
Instance details Defined in Temporal.ATC_Temporal type Rep Sign = D1 ('MetaData "Sign" "Temporal.Sign" "main" 'True) (C1 ('MetaCons "Sign" 'PrefixI 'True) (S1 ('MetaSel ('Just "items") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Set Id))))

pretty :: Pretty a => a -> Doc Source #

isLegalSignature :: Sign -> Bool Source #

determines whether a signature is vaild all sets are ok, so glued to true

addToSig :: Sign -> Id -> Sign Source #

Adds an Id to the signature

unite :: Sign -> Sign -> Sign Source #

Union of signatures

emptySig :: Sign Source #

The empty signature

isSubSigOf :: Sign -> Sign -> Bool Source #

Determines if sig1 is subsignature of sig2

sigDiff :: Sign -> Sign -> Sign Source #

difference of Signatures

sigUnion :: Sign -> Sign -> Result Sign Source #

union of Signatures or do I have to care about more things here?