Copyright	(c) Kristina Sojakova DFKI Bremen 2009
License	GPLv2 or higher, see LICENSE.txt
Maintainer	k.sojakova@jacobs-university.de
Stability	experimental
Portability	portable
Safe Haskell	Safe

LF.Morphism

Description

Documentation

data MorphType Source #

Constructors

Definitional
Postulated
Unknown

Instances

Instances details

Eq MorphType Source #
Instance details Defined in LF.Morphism Methods (==) :: MorphType -> MorphType -> Bool (/=) :: MorphType -> MorphType -> Bool
Ord MorphType Source #
Instance details Defined in LF.Morphism Methods compare :: MorphType -> MorphType -> Ordering (<) :: MorphType -> MorphType -> Bool (<=) :: MorphType -> MorphType -> Bool (>) :: MorphType -> MorphType -> Bool (>=) :: MorphType -> MorphType -> Bool max :: MorphType -> MorphType -> MorphType min :: MorphType -> MorphType -> MorphType
Show MorphType Source #
Instance details Defined in LF.Morphism Methods showsPrec :: Int -> MorphType -> ShowS show :: MorphType -> String showList :: [MorphType] -> ShowS
Generic MorphType
Instance details Defined in LF.ATC_LF Associated Types type Rep MorphType :: Type -> Type Methods from :: MorphType -> Rep MorphType x to :: Rep MorphType x -> MorphType
FromJSON MorphType
Instance details Defined in LF.ATC_LF Methods parseJSON :: Value -> Parser MorphType parseJSONList :: Value -> Parser [MorphType]
ToJSON MorphType
Instance details Defined in LF.ATC_LF Methods toJSON :: MorphType -> Value toEncoding :: MorphType -> Encoding toJSONList :: [MorphType] -> Value toEncodingList :: [MorphType] -> Encoding
ShATermConvertible MorphType
Instance details Defined in LF.ATC_LF Methods toShATermAux :: ATermTable -> MorphType -> IO (ATermTable, Int) toShATermList' :: ATermTable -> [MorphType] -> IO (ATermTable, Int) fromShATermAux :: Int -> ATermTable -> (ATermTable, MorphType) fromShATermList' :: Int -> ATermTable -> (ATermTable, [MorphType])
type Rep MorphType
Instance details Defined in LF.ATC_LF type Rep MorphType = D1 ('MetaData "MorphType" "LF.Morphism" "main" 'False) (C1 ('MetaCons "Definitional" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "Postulated" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Unknown" 'PrefixI 'False) (U1 :: Type -> Type)))

data Morphism Source #

Constructors

Morphism
Fields morphBase :: BASE morphModule :: MODULE morphName :: NAME source :: Sign target :: Sign morphType :: MorphType symMap :: Map Symbol EXP

Instances

Instances details

Eq Morphism Source #
Instance details Defined in LF.Morphism Methods (==) :: Morphism -> Morphism -> Bool (/=) :: Morphism -> Morphism -> Bool
Ord Morphism Source #
Instance details Defined in LF.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 LF.Morphism Methods showsPrec :: Int -> Morphism -> ShowS show :: Morphism -> String showList :: [Morphism] -> ShowS
Generic Morphism
Instance details Defined in LF.ATC_LF Associated Types type Rep Morphism :: Type -> Type Methods from :: Morphism -> Rep Morphism x to :: Rep Morphism x -> Morphism
FromJSON Morphism
Instance details Defined in LF.ATC_LF Methods parseJSON :: Value -> Parser Morphism parseJSONList :: Value -> Parser [Morphism]
ToJSON Morphism
Instance details Defined in LF.ATC_LF Methods toJSON :: Morphism -> Value toEncoding :: Morphism -> Encoding toJSONList :: [Morphism] -> Value toEncodingList :: [Morphism] -> Encoding
ShATermConvertible Morphism
Instance details Defined in LF.ATC_LF 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 LF.Morphism Methods pretty :: Morphism -> Doc Source # pretties :: [Morphism] -> Doc Source #
Category Sign Morphism Source #
Instance details Defined in LF.Logic_LF 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 LF Sentence Sign Morphism Symbol Source #
Instance details Defined in LF.Logic_LF Methods map_sen :: LF -> Morphism -> Sentence -> Result Sentence Source # simplify_sen :: LF -> Sign -> Sentence -> Sentence Source # negation :: LF -> Sentence -> Maybe Sentence Source # print_sign :: LF -> Sign -> Doc Source # print_named :: LF -> Named Sentence -> Doc Source # sym_of :: LF -> Sign -> [Set Symbol] Source # mostSymsOf :: LF -> Sign -> [Symbol] Source # symmap_of :: LF -> Morphism -> EndoMap Symbol Source # sym_name :: LF -> Symbol -> Id Source # sym_label :: LF -> Symbol -> Maybe String Source # fullSymName :: LF -> Symbol -> String Source # symKind :: LF -> Symbol -> String Source # symsOfSen :: LF -> Sign -> Sentence -> [Symbol] Source # pair_symbols :: LF -> Symbol -> Symbol -> Result Symbol Source #
StaticAnalysis LF BASIC_SPEC Sentence SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RAW_SYM Source #
Instance details Defined in LF.Logic_LF Methods basic_analysis :: LF -> Maybe ((BASIC_SPEC, Sign, GlobalAnnos) -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named Sentence])) Source # sen_analysis :: LF -> Maybe ((BASIC_SPEC, Sign, Sentence) -> Result Sentence) Source # extBasicAnalysis :: LF -> IRI -> LibName -> BASIC_SPEC -> Sign -> GlobalAnnos -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named Sentence]) Source # stat_symb_map_items :: LF -> Sign -> Maybe Sign -> [SYMB_MAP_ITEMS] -> Result (EndoMap RAW_SYM) Source # stat_symb_items :: LF -> Sign -> [SYMB_ITEMS] -> Result [RAW_SYM] Source # convertTheory :: LF -> Maybe ((Sign, [Named Sentence]) -> BASIC_SPEC) Source # ensures_amalgamability :: LF -> ([CASLAmalgOpt], Gr Sign (Int, Morphism), [(Int, Morphism)], Gr String String) -> Result Amalgamates Source # quotient_term_algebra :: LF -> Morphism -> [Named Sentence] -> Result (Sign, [Named Sentence]) Source # signature_colimit :: LF -> Gr Sign (Int, Morphism) -> Result (Sign, Map Int Morphism) Source # qualify :: LF -> SIMPLE_ID -> LibName -> Morphism -> Sign -> Result (Morphism, [Named Sentence]) Source # symbol_to_raw :: LF -> Symbol -> RAW_SYM Source # id_to_raw :: LF -> Id -> RAW_SYM Source # matches :: LF -> Symbol -> RAW_SYM -> Bool Source # empty_signature :: LF -> Sign Source # add_symb_to_sign :: LF -> Sign -> Symbol -> Result Sign Source # signature_union :: LF -> Sign -> Sign -> Result Sign Source # signatureDiff :: LF -> Sign -> Sign -> Result Sign Source # intersection :: LF -> Sign -> Sign -> Result Sign Source # final_union :: LF -> Sign -> Sign -> Result Sign Source # morphism_union :: LF -> Morphism -> Morphism -> Result Morphism Source # is_subsig :: LF -> Sign -> Sign -> Bool Source # subsig_inclusion :: LF -> Sign -> Sign -> Result Morphism Source # generated_sign :: LF -> Set Symbol -> Sign -> Result Morphism Source # cogenerated_sign :: LF -> Set Symbol -> Sign -> Result Morphism Source # induced_from_morphism :: LF -> EndoMap RAW_SYM -> Sign -> Result Morphism Source # induced_from_to_morphism :: LF -> EndoMap RAW_SYM -> ExtSign Sign Symbol -> ExtSign Sign Symbol -> Result Morphism Source # is_transportable :: LF -> Morphism -> Bool Source # is_injective :: LF -> Morphism -> Bool Source # theory_to_taxonomy :: LF -> TaxoGraphKind -> MMiSSOntology -> Sign -> [Named Sentence] -> Result MMiSSOntology Source # corresp2th :: LF -> String -> Bool -> Sign -> Sign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> EndoMap Symbol -> EndoMap Symbol -> REL_REF -> Result (Sign, [Named Sentence], Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # equiv2cospan :: LF -> Sign -> Sign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> Result (Sign, Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # extract_module :: LF -> [IRI] -> (Sign, [Named Sentence]) -> Result (Sign, [Named Sentence]) Source #
LogicalFramework LF () BASIC_SPEC Sentence SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RAW_SYM () Source #
Instance details Defined in LF.Logic_LF Methods base_sig :: LF -> Sign Source # write_logic :: LF -> String -> String Source # write_syntax :: LF -> String -> Morphism -> String Source # write_proof :: LF -> String -> Morphism -> String Source # write_model :: LF -> String -> Morphism -> String Source # read_morphism :: LF -> FilePath -> Morphism Source # write_comorphism :: LF -> String -> String -> String -> Morphism -> Morphism -> Morphism -> String Source #
Logic LF () BASIC_SPEC Sentence SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RAW_SYM () Source #
Instance details Defined in LF.Logic_LF Methods parse_basic_sen :: LF -> Maybe (BASIC_SPEC -> AParser st Sentence) Source # stability :: LF -> Stability Source # data_logic :: LF -> Maybe AnyLogic Source # top_sublogic :: LF -> () Source # all_sublogics :: LF -> [()] Source # bottomSublogic :: LF -> Maybe () Source # sublogicDimensions :: LF -> [[()]] Source # parseSublogic :: LF -> String -> Maybe () Source # proj_sublogic_epsilon :: LF -> () -> Sign -> Morphism Source # provers :: LF -> [Prover Sign Sentence Morphism () ()] Source # default_prover :: LF -> String Source # cons_checkers :: LF -> [ConsChecker Sign Sentence () Morphism ()] Source # conservativityCheck :: LF -> [ConservativityChecker Sign Sentence Morphism] Source # empty_proof_tree :: LF -> () Source # syntaxTable :: LF -> Sign -> Maybe SyntaxTable Source # omdoc_metatheory :: LF -> Maybe OMCD Source # export_symToOmdoc :: LF -> NameMap Symbol -> Symbol -> String -> Result TCElement Source # export_senToOmdoc :: LF -> NameMap Symbol -> Sentence -> Result TCorOMElement Source # export_theoryToOmdoc :: LF -> SigMap Symbol -> Sign -> [Named Sentence] -> Result [TCElement] Source # omdocToSym :: LF -> SigMapI Symbol -> TCElement -> String -> Result Symbol Source # omdocToSen :: LF -> SigMapI Symbol -> TCElement -> String -> Result (Maybe (Named Sentence)) Source # addOMadtToTheory :: LF -> SigMapI Symbol -> (Sign, [Named Sentence]) -> [[OmdADT]] -> Result (Sign, [Named Sentence]) Source # addOmdocToTheory :: LF -> SigMapI Symbol -> (Sign, [Named Sentence]) -> [TCElement] -> Result (Sign, [Named Sentence]) Source # sublogicOfTheo :: LF -> (Sign, [Sentence]) -> () Source #
type Rep Morphism
Instance details Defined in LF.ATC_LF type Rep Morphism = D1 ('MetaData "Morphism" "LF.Morphism" "main" 'False) (C1 ('MetaCons "Morphism" 'PrefixI 'True) ((S1 ('MetaSel ('Just "morphBase") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 BASE) :: (S1 ('MetaSel ('Just "morphModule") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 MODULE) :: S1 ('MetaSel ('Just "morphName") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 NAME))) :: ((S1 ('MetaSel ('Just "source") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Sign) :: S1 ('MetaSel ('Just "target") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Sign)) :: (S1 ('MetaSel ('Just "morphType") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 MorphType) :: S1 ('MetaSel ('Just "symMap") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Map Symbol EXP))))))

idMorph :: Sign -> Morphism Source #

compMorph :: Morphism -> Morphism -> Result Morphism Source #

mapSymbol :: Symbol -> Morphism -> Maybe EXP Source #

translate :: Morphism -> EXP -> Maybe EXP Source #

canForm :: Morphism -> Morphism Source #

inclusionMorph :: Sign -> Sign -> Result Morphism Source #

inducedFromToMorphism :: Map Symbol (EXP, EXP) -> Sign -> Sign -> Result Morphism Source #

inducedFromMorphism :: Map Symbol Symbol -> Sign -> Result Morphism Source #

gen_morph :: String Source #