Copyright	(c) Till Mossakowski Uni Magdeburg 2022
License	GPLv2 or higher, see LICENSE.txt
Maintainer	till.mossakowski@ovgu.de
Stability	experimental
Portability	portable Definition of morphisms for neural-symbolic patterns
Safe Haskell	Safe

NeSyPatterns.Morphism

Description

Synopsis

data Morphism = Morphism {
- source :: Sign
- target :: Sign
- owlMap :: Map IRI IRI
- nodeMap :: Map ResolvedNode ResolvedNode
}
pretty :: Pretty a => a -> Doc
idMor :: Sign -> Morphism
isLegalMorphism :: Morphism -> Result ()
composeMor :: Morphism -> Morphism -> Result Morphism
inclusionMap :: Sign -> Sign -> Morphism
applyMap :: Map ResolvedNode ResolvedNode -> ResolvedNode -> ResolvedNode
applyMorphism :: Morphism -> ResolvedNode -> ResolvedNode
morphismUnion :: Morphism -> Morphism -> Result Morphism
morphism2TokenMap :: Morphism -> Map IRI IRI
tokenMap2NodeMap :: Set ResolvedNode -> Set ResolvedNode -> Map IRI IRI -> Result (Map ResolvedNode ResolvedNode)

Documentation

data Morphism Source #

Morphisms are graph homomorphisms, here: node maps

Constructors

Morphism
Fields source :: Sign target :: Sign owlMap :: Map IRI IRI nodeMap :: Map ResolvedNode ResolvedNode

Instances

Instances details

Eq Morphism Source #
Instance details Defined in NeSyPatterns.Morphism Methods (==) :: Morphism -> Morphism -> Bool (/=) :: Morphism -> Morphism -> Bool
Ord Morphism Source #
Instance details Defined in NeSyPatterns.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 NeSyPatterns.Morphism Methods showsPrec :: Int -> Morphism -> ShowS show :: Morphism -> String showList :: [Morphism] -> ShowS
Generic Morphism
Instance details Defined in NeSyPatterns.ATC_NeSyPatterns Associated Types type Rep Morphism :: Type -> Type Methods from :: Morphism -> Rep Morphism x to :: Rep Morphism x -> Morphism
FromJSON Morphism
Instance details Defined in NeSyPatterns.ATC_NeSyPatterns Methods parseJSON :: Value -> Parser Morphism parseJSONList :: Value -> Parser [Morphism]
ToJSON Morphism
Instance details Defined in NeSyPatterns.ATC_NeSyPatterns Methods toJSON :: Morphism -> Value toEncoding :: Morphism -> Encoding toJSONList :: [Morphism] -> Value toEncodingList :: [Morphism] -> Encoding
ShATermConvertible Morphism
Instance details Defined in NeSyPatterns.ATC_NeSyPatterns 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 NeSyPatterns.Morphism Methods pretty :: Morphism -> Doc Source # pretties :: [Morphism] -> Doc Source #
Category Sign Morphism Source #	Instance of Category for propositional logic
Instance details Defined in NeSyPatterns.Logic_NeSyPatterns 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 NeSyPatterns () Sign Morphism Symbol Source #	Instance of Sentences for propositional logic
Instance details Defined in NeSyPatterns.Logic_NeSyPatterns Methods map_sen :: NeSyPatterns -> Morphism -> () -> Result () Source # simplify_sen :: NeSyPatterns -> Sign -> () -> () Source # negation :: NeSyPatterns -> () -> Maybe () Source # print_sign :: NeSyPatterns -> Sign -> Doc Source # print_named :: NeSyPatterns -> Named () -> Doc Source # sym_of :: NeSyPatterns -> Sign -> [Set Symbol] Source # mostSymsOf :: NeSyPatterns -> Sign -> [Symbol] Source # symmap_of :: NeSyPatterns -> Morphism -> EndoMap Symbol Source # sym_name :: NeSyPatterns -> Symbol -> Id Source # sym_label :: NeSyPatterns -> Symbol -> Maybe String Source # fullSymName :: NeSyPatterns -> Symbol -> String Source # symKind :: NeSyPatterns -> Symbol -> String Source # symsOfSen :: NeSyPatterns -> Sign -> () -> [Symbol] Source # pair_symbols :: NeSyPatterns -> Symbol -> Symbol -> Result Symbol Source #
StaticAnalysis NeSyPatterns BASIC_SPEC () SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol Source #	Static Analysis for propositional logic
Instance details Defined in NeSyPatterns.Logic_NeSyPatterns Methods basic_analysis :: NeSyPatterns -> Maybe ((BASIC_SPEC, Sign, GlobalAnnos) -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named ()])) Source # sen_analysis :: NeSyPatterns -> Maybe ((BASIC_SPEC, Sign, ()) -> Result ()) Source # extBasicAnalysis :: NeSyPatterns -> IRI -> LibName -> BASIC_SPEC -> Sign -> GlobalAnnos -> Result (BASIC_SPEC, ExtSign Sign Symbol, [Named ()]) Source # stat_symb_map_items :: NeSyPatterns -> Sign -> Maybe Sign -> [SYMB_MAP_ITEMS] -> Result (EndoMap Symbol) Source # stat_symb_items :: NeSyPatterns -> Sign -> [SYMB_ITEMS] -> Result [Symbol] Source # convertTheory :: NeSyPatterns -> Maybe ((Sign, [Named ()]) -> BASIC_SPEC) Source # ensures_amalgamability :: NeSyPatterns -> ([CASLAmalgOpt], Gr Sign (Int, Morphism), [(Int, Morphism)], Gr String String) -> Result Amalgamates Source # quotient_term_algebra :: NeSyPatterns -> Morphism -> [Named ()] -> Result (Sign, [Named ()]) Source # signature_colimit :: NeSyPatterns -> Gr Sign (Int, Morphism) -> Result (Sign, Map Int Morphism) Source # qualify :: NeSyPatterns -> SIMPLE_ID -> LibName -> Morphism -> Sign -> Result (Morphism, [Named ()]) Source # symbol_to_raw :: NeSyPatterns -> Symbol -> Symbol Source # id_to_raw :: NeSyPatterns -> Id -> Symbol Source # matches :: NeSyPatterns -> Symbol -> Symbol -> Bool Source # empty_signature :: NeSyPatterns -> Sign Source # add_symb_to_sign :: NeSyPatterns -> Sign -> Symbol -> Result Sign Source # signature_union :: NeSyPatterns -> Sign -> Sign -> Result Sign Source # signatureDiff :: NeSyPatterns -> Sign -> Sign -> Result Sign Source # intersection :: NeSyPatterns -> Sign -> Sign -> Result Sign Source # final_union :: NeSyPatterns -> Sign -> Sign -> Result Sign Source # morphism_union :: NeSyPatterns -> Morphism -> Morphism -> Result Morphism Source # is_subsig :: NeSyPatterns -> Sign -> Sign -> Bool Source # subsig_inclusion :: NeSyPatterns -> Sign -> Sign -> Result Morphism Source # generated_sign :: NeSyPatterns -> Set Symbol -> Sign -> Result Morphism Source # cogenerated_sign :: NeSyPatterns -> Set Symbol -> Sign -> Result Morphism Source # induced_from_morphism :: NeSyPatterns -> EndoMap Symbol -> Sign -> Result Morphism Source # induced_from_to_morphism :: NeSyPatterns -> EndoMap Symbol -> ExtSign Sign Symbol -> ExtSign Sign Symbol -> Result Morphism Source # is_transportable :: NeSyPatterns -> Morphism -> Bool Source # is_injective :: NeSyPatterns -> Morphism -> Bool Source # theory_to_taxonomy :: NeSyPatterns -> TaxoGraphKind -> MMiSSOntology -> Sign -> [Named ()] -> Result MMiSSOntology Source # corresp2th :: NeSyPatterns -> String -> Bool -> Sign -> Sign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> EndoMap Symbol -> EndoMap Symbol -> REL_REF -> Result (Sign, [Named ()], Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # equiv2cospan :: NeSyPatterns -> Sign -> Sign -> [SYMB_ITEMS] -> [SYMB_ITEMS] -> Result (Sign, Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source # extract_module :: NeSyPatterns -> [IRI] -> (Sign, [Named ()]) -> Result (Sign, [Named ()]) Source #
Logic NeSyPatterns () BASIC_SPEC () SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree Source #	Instance of Logic for propositional logc
Instance details Defined in NeSyPatterns.Logic_NeSyPatterns Methods parse_basic_sen :: NeSyPatterns -> Maybe (BASIC_SPEC -> AParser st ()) Source # stability :: NeSyPatterns -> Stability Source # data_logic :: NeSyPatterns -> Maybe AnyLogic Source # top_sublogic :: NeSyPatterns -> () Source # all_sublogics :: NeSyPatterns -> [()] Source # bottomSublogic :: NeSyPatterns -> Maybe () Source # sublogicDimensions :: NeSyPatterns -> [[()]] Source # parseSublogic :: NeSyPatterns -> String -> Maybe () Source # proj_sublogic_epsilon :: NeSyPatterns -> () -> Sign -> Morphism Source # provers :: NeSyPatterns -> [Prover Sign () Morphism () ProofTree] Source # default_prover :: NeSyPatterns -> String Source # cons_checkers :: NeSyPatterns -> [ConsChecker Sign () () Morphism ProofTree] Source # conservativityCheck :: NeSyPatterns -> [ConservativityChecker Sign () Morphism] Source # empty_proof_tree :: NeSyPatterns -> ProofTree Source # syntaxTable :: NeSyPatterns -> Sign -> Maybe SyntaxTable Source # omdoc_metatheory :: NeSyPatterns -> Maybe OMCD Source # export_symToOmdoc :: NeSyPatterns -> NameMap Symbol -> Symbol -> String -> Result TCElement Source # export_senToOmdoc :: NeSyPatterns -> NameMap Symbol -> () -> Result TCorOMElement Source # export_theoryToOmdoc :: NeSyPatterns -> SigMap Symbol -> Sign -> [Named ()] -> Result [TCElement] Source # omdocToSym :: NeSyPatterns -> SigMapI Symbol -> TCElement -> String -> Result Symbol Source # omdocToSen :: NeSyPatterns -> SigMapI Symbol -> TCElement -> String -> Result (Maybe (Named ())) Source # addOMadtToTheory :: NeSyPatterns -> SigMapI Symbol -> (Sign, [Named ()]) -> [[OmdADT]] -> Result (Sign, [Named ()]) Source # addOmdocToTheory :: NeSyPatterns -> SigMapI Symbol -> (Sign, [Named ()]) -> [TCElement] -> Result (Sign, [Named ()]) Source # sublogicOfTheo :: NeSyPatterns -> (Sign, [()]) -> () Source #
Comorphism OWL22NeSyPatterns OWL2 ProfSub OntologyDocument Axiom SymbItems SymbMapItems Sign OWLMorphism Entity RawSymb ProofTree NeSyPatterns () BASIC_SPEC () SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree Source #
Instance details Defined in OWL2.OWL22NeSyPatterns Methods sourceLogic :: OWL22NeSyPatterns -> OWL2 Source # sourceSublogic :: OWL22NeSyPatterns -> ProfSub Source # sourceSublogicLossy :: OWL22NeSyPatterns -> ProfSub Source # minSourceTheory :: OWL22NeSyPatterns -> Maybe (LibName, String) Source # targetLogic :: OWL22NeSyPatterns -> NeSyPatterns Source # mapSublogic :: OWL22NeSyPatterns -> ProfSub -> Maybe () Source # map_theory :: OWL22NeSyPatterns -> (Sign0, [Named Axiom]) -> Result (Sign, [Named ()]) Source # mapMarkedTheory :: OWL22NeSyPatterns -> (Sign0, [Named Axiom]) -> Result (Sign, [Named ()]) Source # map_morphism :: OWL22NeSyPatterns -> OWLMorphism -> Result Morphism Source # map_sentence :: OWL22NeSyPatterns -> Sign0 -> Axiom -> Result () Source # map_symbol :: OWL22NeSyPatterns -> Sign0 -> Entity -> Set Symbol Source # extractModel :: OWL22NeSyPatterns -> Sign0 -> ProofTree -> Result (Sign0, [Named Axiom]) Source # is_model_transportable :: OWL22NeSyPatterns -> Bool Source # has_model_expansion :: OWL22NeSyPatterns -> Bool Source # is_weakly_amalgamable :: OWL22NeSyPatterns -> Bool Source # constituents :: OWL22NeSyPatterns -> [String] Source # isInclusionComorphism :: OWL22NeSyPatterns -> Bool Source # rps :: OWL22NeSyPatterns -> Bool Source # eps :: OWL22NeSyPatterns -> Bool Source # isGTC :: OWL22NeSyPatterns -> Bool Source #
type Rep Morphism
Instance details Defined in NeSyPatterns.ATC_NeSyPatterns type Rep Morphism = D1 ('MetaData "Morphism" "NeSyPatterns.Morphism" "main" 'False) (C1 ('MetaCons "Morphism" 'PrefixI 'True) ((S1 ('MetaSel ('Just "source") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Sign) :: S1 ('MetaSel ('Just "target") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Sign)) :: (S1 ('MetaSel ('Just "owlMap") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Map IRI IRI)) :*: S1 ('MetaSel ('Just "nodeMap") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Map ResolvedNode ResolvedNode)))))

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

idMor :: Sign -> Morphism Source #

Constructs an id-morphism

isLegalMorphism :: Morphism -> Result () Source #

Determines whether a morphism is valid

composeMor :: Morphism -> Morphism -> Result Morphism Source #

Composition of morphisms in propositional Logic

inclusionMap :: Sign -> Sign -> Morphism Source #

Inclusion map of a subsig into a supersig

applyMap :: Map ResolvedNode ResolvedNode -> ResolvedNode -> ResolvedNode Source #

Application function for nodeMaps

applyMorphism :: Morphism -> ResolvedNode -> ResolvedNode Source #

Application funtion for morphisms

morphismUnion :: Morphism -> Morphism -> Result Morphism Source #

morphism2TokenMap :: Morphism -> Map IRI IRI Source #

convert to token map

tokenMap2NodeMap :: Set ResolvedNode -> Set ResolvedNode -> Map IRI IRI -> Result (Map ResolvedNode ResolvedNode) Source #