Copyright	(c) Martin Kuehl Uni Bremen 2008-2009
License	GPLv2 or higher, see LICENSE.txt
Maintainer	mkhl@informatik.uni-bremen.de
Stability	experimental
Portability	portable
Safe Haskell	None

Maude.Morphism

Contents

Types
- The Morphism type
- Auxiliary type
Construction
Combination
Testing
Conversion
Modification
Application

Description

Definition of morphisms for Maude.

Synopsis

data Morphism = Morphism {
- source :: Sign
- target :: Sign
- sortMap :: SortMap
- kindMap :: KindMap
- opMap :: OpMap
- labelMap :: LabelMap
}
type SortMap = SymbolMap
type KindMap = SymbolMap
type OpMap = SymbolMap
fromSignRenamings :: Sign -> [Renaming] -> Morphism
fromSignsRenamings :: Sign -> Sign -> [Renaming] -> Morphism
empty :: Morphism
identity :: Sign -> Morphism
inclusion :: Sign -> Sign -> Morphism
inverse :: Morphism -> Result Morphism
union :: Morphism -> Morphism -> Morphism
compose :: Morphism -> Morphism -> Result Morphism
isInclusion :: Morphism -> Bool
isLegal :: Morphism -> Result ()
symbolMap :: Morphism -> SymbolMap
setTarget :: Sign -> Morphism -> Morphism
qualifySorts :: Morphism -> Qid -> Symbols -> Morphism
applyRenamings :: Morphism -> [Renaming] -> Morphism
extendWithSortRenaming :: Symbol -> Symbol -> Morphism -> Morphism
translateSentence :: Morphism -> Sentence -> Result Sentence
translateSorts :: HasSorts a => Morphism -> a -> a

Types

The Morphism type

data Morphism Source #

Constructors

Morphism
Fields source :: Sign target :: Sign sortMap :: SortMap kindMap :: KindMap opMap :: OpMap labelMap :: LabelMap

Instances

Instances details

Eq Morphism Source #
Instance details Defined in Maude.Morphism Methods (==) :: Morphism -> Morphism -> Bool (/=) :: Morphism -> Morphism -> Bool
Ord Morphism Source #
Instance details Defined in Maude.Morphism Methods compare :: Morphism -> Morphism -> Ordering (<) :: Morphism -> Morphism -> Bool (<=) :: Morphism -> Morphism -> Bool (>) :: Morphism -> Morphism -> Bool (>=) :: Morphism -> Morphism -> Bool max :: Morphism -> Morphism -> Morphism min :: Morphism -> Morphism -> Morphism
Show Morphism Source #
Instance details Defined in Maude.Morphism Methods showsPrec :: Int -> Morphism -> ShowS show :: Morphism -> String showList :: [Morphism] -> ShowS
Generic Morphism
Instance details Defined in Maude.ATC_Maude Associated Types type Rep Morphism :: Type -> Type Methods from :: Morphism -> Rep Morphism x to :: Rep Morphism x -> Morphism
FromJSON Morphism
Instance details Defined in Maude.ATC_Maude Methods parseJSON :: Value -> Parser Morphism parseJSONList :: Value -> Parser [Morphism]
ToJSON Morphism
Instance details Defined in Maude.ATC_Maude Methods toJSON :: Morphism -> Value toEncoding :: Morphism -> Encoding toJSONList :: [Morphism] -> Value toEncodingList :: [Morphism] -> Encoding
ShATermConvertible Morphism
Instance details Defined in Maude.ATC_Maude Methods toShATermAux :: ATermTable -> Morphism -> IO (ATermTable, Int) toShATermList' :: ATermTable -> [Morphism] -> IO (ATermTable, Int) fromShATermAux :: Int -> ATermTable -> (ATermTable, Morphism) fromShATermList' :: Int -> ATermTable -> (ATermTable, [Morphism])
Pretty Morphism Source #
Instance details Defined in Maude.Morphism Methods pretty :: Morphism -> Doc Source # pretties :: [Morphism] -> Doc Source #
Category Sign Morphism Source #	Instance of Category for Maude
Instance details Defined in Maude.Logic_Maude 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 Maude Sentence Sign Morphism Symbol Source #	Instance of Sentences for Maude
Instance details Defined in Maude.Logic_Maude Methods map_sen :: Maude -> Morphism -> Sentence -> Result Sentence Source # simplify_sen :: Maude -> Sign -> Sentence -> Sentence Source # negation :: Maude -> Sentence -> Maybe Sentence Source # print_sign :: Maude -> Sign -> Doc Source # print_named :: Maude -> Named Sentence -> Doc Source # sym_of :: Maude -> Sign -> [Set Symbol] Source # mostSymsOf :: Maude -> Sign -> [Symbol] Source # symmap_of :: Maude -> Morphism -> EndoMap Symbol Source # sym_name :: Maude -> Symbol -> Id Source # sym_label :: Maude -> Symbol -> Maybe String Source # fullSymName :: Maude -> Symbol -> String Source # symKind :: Maude -> Symbol -> String Source # symsOfSen :: Maude -> Sign -> Sentence -> [Symbol] Source # pair_symbols :: Maude -> Symbol -> Symbol -> Result Symbol Source #
StaticAnalysis Maude MaudeText Sentence () () Sign Morphism Symbol Symbol Source #	Instance of StaticAnalysis for Maude
Instance details Defined in Maude.Logic_Maude Methods basic_analysis :: Maude -> Maybe ((MaudeText, Sign, GlobalAnnos) -> Result (MaudeText, ExtSign Sign Symbol, [Named Sentence])) Source # sen_analysis :: Maude -> Maybe ((MaudeText, Sign, Sentence) -> Result Sentence) Source # extBasicAnalysis :: Maude -> IRI -> LibName -> MaudeText -> Sign -> GlobalAnnos -> Result (MaudeText, ExtSign Sign Symbol, [Named Sentence]) Source # stat_symb_map_items :: Maude -> Sign -> Maybe Sign -> [()] -> Result (EndoMap Symbol) Source # stat_symb_items :: Maude -> Sign -> [()] -> Result [Symbol] Source # convertTheory :: Maude -> Maybe ((Sign, [Named Sentence]) -> MaudeText) Source # ensures_amalgamability :: Maude -> ([CASLAmalgOpt], Gr Sign (Int, Morphism), [(Int, Morphism)], Gr String String) -> Result Amalgamates Source # quotient_term_algebra :: Maude -> Morphism -> [Named Sentence] -> Result (Sign, [Named Sentence]) Source # signature_colimit :: Maude -> Gr Sign (Int, Morphism) -> Result (Sign, Map Int Morphism) Source # qualify :: Maude -> SIMPLE_ID -> LibName -> Morphism -> Sign -> Result (Morphism, [Named Sentence]) Source # symbol_to_raw :: Maude -> Symbol -> Symbol Source # id_to_raw :: Maude -> Id -> Symbol Source # matches :: Maude -> Symbol -> Symbol -> Bool Source # empty_signature :: Maude -> Sign Source # add_symb_to_sign :: Maude -> Sign -> Symbol -> Result Sign Source # signature_union :: Maude -> Sign -> Sign -> Result Sign Source # signatureDiff :: Maude -> Sign -> Sign -> Result Sign Source # intersection :: Maude -> Sign -> Sign -> Result Sign Source # final_union :: Maude -> Sign -> Sign -> Result Sign Source # morphism_union :: Maude -> Morphism -> Morphism -> Result Morphism Source # is_subsig :: Maude -> Sign -> Sign -> Bool Source # subsig_inclusion :: Maude -> Sign -> Sign -> Result Morphism Source # generated_sign :: Maude -> Set Symbol -> Sign -> Result Morphism Source # cogenerated_sign :: Maude -> Set Symbol -> Sign -> Result Morphism Source # induced_from_morphism :: Maude -> EndoMap Symbol -> Sign -> Result Morphism Source # induced_from_to_morphism :: Maude -> EndoMap Symbol -> ExtSign Sign Symbol -> ExtSign Sign Symbol -> Result Morphism Source # is_transportable :: Maude -> Morphism -> Bool Source # is_injective :: Maude -> Morphism -> Bool Source # theory_to_taxonomy :: Maude -> TaxoGraphKind -> MMiSSOntology -> Sign -> [Named Sentence] -> Result MMiSSOntology Source # corresp2th :: Maude -> String -> Bool -> Sign -> Sign -> [()] -> [()] -> EndoMap Symbol -> EndoMap Symbol -> REL_REF -> Result (Sign, [Named Sentence], Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # equiv2cospan :: Maude -> Sign -> Sign -> [()] -> [()] -> Result (Sign, Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # extract_module :: Maude -> [IRI] -> (Sign, [Named Sentence]) -> Result (Sign, [Named Sentence]) Source #
LogicalFramework Maude () MaudeText Sentence () () Sign Morphism Symbol Symbol () Source #
Instance details Defined in Maude.Logic_Maude Methods base_sig :: Maude -> Sign Source # write_logic :: Maude -> String -> String Source # write_syntax :: Maude -> String -> Morphism -> String Source # write_proof :: Maude -> String -> Morphism -> String Source # write_model :: Maude -> String -> Morphism -> String Source # read_morphism :: Maude -> FilePath -> Morphism Source # write_comorphism :: Maude -> String -> String -> String -> Morphism -> Morphism -> Morphism -> String Source #
Logic Maude () MaudeText Sentence () () Sign Morphism Symbol Symbol () Source #	Instance of Logic for Maude
Instance details Defined in Maude.Logic_Maude Methods parse_basic_sen :: Maude -> Maybe (MaudeText -> AParser st Sentence) Source # stability :: Maude -> Stability Source # data_logic :: Maude -> Maybe AnyLogic Source # top_sublogic :: Maude -> () Source # all_sublogics :: Maude -> [()] Source # bottomSublogic :: Maude -> Maybe () Source # sublogicDimensions :: Maude -> [[()]] Source # parseSublogic :: Maude -> String -> Maybe () Source # proj_sublogic_epsilon :: Maude -> () -> Sign -> Morphism Source # provers :: Maude -> [Prover Sign Sentence Morphism () ()] Source # default_prover :: Maude -> String Source # cons_checkers :: Maude -> [ConsChecker Sign Sentence () Morphism ()] Source # conservativityCheck :: Maude -> [ConservativityChecker Sign Sentence Morphism] Source # empty_proof_tree :: Maude -> () Source # syntaxTable :: Maude -> Sign -> Maybe SyntaxTable Source # omdoc_metatheory :: Maude -> Maybe OMCD Source # export_symToOmdoc :: Maude -> NameMap Symbol -> Symbol -> String -> Result TCElement Source # export_senToOmdoc :: Maude -> NameMap Symbol -> Sentence -> Result TCorOMElement Source # export_theoryToOmdoc :: Maude -> SigMap Symbol -> Sign -> [Named Sentence] -> Result [TCElement] Source # omdocToSym :: Maude -> SigMapI Symbol -> TCElement -> String -> Result Symbol Source # omdocToSen :: Maude -> SigMapI Symbol -> TCElement -> String -> Result (Maybe (Named Sentence)) Source # addOMadtToTheory :: Maude -> SigMapI Symbol -> (Sign, [Named Sentence]) -> [[OmdADT]] -> Result (Sign, [Named Sentence]) Source # addOmdocToTheory :: Maude -> SigMapI Symbol -> (Sign, [Named Sentence]) -> [TCElement] -> Result (Sign, [Named Sentence]) Source # sublogicOfTheo :: Maude -> (Sign, [Sentence]) -> () Source #
Comorphism Maude2CASL Maude () MaudeText Sentence () () Sign Morphism Symbol Symbol () CASL CASL_Sublogics CASLBasicSpec CASLFORMULA SYMB_ITEMS SYMB_MAP_ITEMS CASLSign CASLMor Symbol RawSymbol ProofTree Source #
Instance details Defined in Comorphisms.Maude2CASL Methods sourceLogic :: Maude2CASL -> Maude Source # sourceSublogic :: Maude2CASL -> () Source # sourceSublogicLossy :: Maude2CASL -> () Source # minSourceTheory :: Maude2CASL -> Maybe (LibName, String) Source # targetLogic :: Maude2CASL -> CASL Source # mapSublogic :: Maude2CASL -> () -> Maybe CASL_Sublogics Source # map_theory :: Maude2CASL -> (Sign, [Named Sentence]) -> Result (CASLSign, [Named CASLFORMULA]) Source # mapMarkedTheory :: Maude2CASL -> (Sign, [Named Sentence]) -> Result (CASLSign, [Named CASLFORMULA]) Source # map_morphism :: Maude2CASL -> Morphism -> Result CASLMor Source # map_sentence :: Maude2CASL -> Sign -> Sentence -> Result CASLFORMULA Source # map_symbol :: Maude2CASL -> Sign -> Symbol -> Set Symbol0 Source # extractModel :: Maude2CASL -> Sign -> ProofTree -> Result (Sign, [Named Sentence]) Source # is_model_transportable :: Maude2CASL -> Bool Source # has_model_expansion :: Maude2CASL -> Bool Source # is_weakly_amalgamable :: Maude2CASL -> Bool Source # constituents :: Maude2CASL -> [String] Source # isInclusionComorphism :: Maude2CASL -> Bool Source # rps :: Maude2CASL -> Bool Source # eps :: Maude2CASL -> Bool Source # isGTC :: Maude2CASL -> Bool Source #
type Rep Morphism
Instance details Defined in Maude.ATC_Maude type Rep Morphism