hets -- a heterogenous Specification (CASL) tool set Contents Index

CASL.Morphism Portability portable Stability provisional Maintainer hets@tzi.de

Description

Symbols and signature morphisms for the CASL logic

Synopsis

data SymbType = OpAsItemType OpType | PredAsItemType PredType | SortAsItemType data Symbol = Symbol { symName :: Id symbType :: SymbType } type SymbolSet = Set Symbol type SymbolMap = EndoMap Symbol data RawSymbol = ASymbol Symbol | AnID Id | AKindedId Kind Id type RawSymbolSet = Set RawSymbol type RawSymbolMap = EndoMap RawSymbol data Kind = SortKind | FunKind | PredKind type Sort_map = Map SORT SORT type Fun_map = Map (Id, OpType) (Id, FunKind) type Pred_map = Map (Id, PredType) Id data Morphism = Morphism { msource :: Sign mtarget :: Sign sort_map :: Sort_map fun_map :: Fun_map pred_map :: Pred_map } mapSort :: Sort_map -> SORT -> SORT mapOpType :: Sort_map -> OpType -> OpType mapOpTypeK :: Sort_map -> FunKind -> OpType -> OpType makeTotal :: FunKind -> OpType -> OpType mapOpSym :: Sort_map -> Fun_map -> (Id, OpType) -> Maybe (Id, OpType) compatibleOpTypes :: OpType -> OpType -> Bool mapPredType :: Sort_map -> PredType -> PredType mapPredSym :: Sort_map -> Pred_map -> (Id, PredType) -> Maybe (Id, PredType) embedMorphism :: Sign -> Sign -> Morphism sentenceTc :: TyCon signTc :: TyCon morphismTc :: TyCon symbolTc :: TyCon rawSymbolTc :: TyCon idToSortSymbol :: Id -> Symbol idToOpSymbol :: Id -> OpType -> Symbol idToPredSymbol :: Id -> PredType -> Symbol symbTypeToKind :: SymbType -> Kind symbolToRaw :: Symbol -> RawSymbol idToRaw :: Id -> RawSymbol rawSymName :: RawSymbol -> SORT symOf :: Sign -> SymbolSet statSymbMapItems :: [SYMB_MAP_ITEMS] -> Result RawSymbolMap pairM :: Monad m => (m a, m b) -> m (a, b) symbOrMapToRaw :: SYMB_KIND -> SYMB_OR_MAP -> Result (RawSymbol, RawSymbol) statSymbItems :: [SYMB_ITEMS] -> Result [RawSymbol] symbToRaw :: SYMB_KIND -> SYMB -> Result RawSymbol symbKindToRaw :: SYMB_KIND -> Id -> Result RawSymbol typedSymbKindToRaw :: SYMB_KIND -> Id -> TYPE -> Result RawSymbol symbMapToMorphism :: Sign -> Sign -> SymbolMap -> Result Morphism morphismToSymbMap :: Morphism -> SymbolMap matches :: Symbol -> RawSymbol -> Bool idMor :: Sign -> Morphism compose :: Morphism -> Morphism -> Maybe Morphism sigInclusion :: Sign -> Sign -> Result Morphism

Documentation

data SymbType

Constructors OpAsItemType OpType PredAsItemType PredType SortAsItemType Instances ATermConvertible SymbType Ord SymbType Eq SymbType PrettyPrint SymbType Show SymbType

data Symbol

Constructors Symbol symName :: Id symbType :: SymbType Instances ATermConvertible Symbol Sentences CASL FORMULA () Sign Morphism Symbol StaticAnalysis CASL BASIC_SPEC FORMULA () SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol Logic CASL CASL_Sublogics BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol () Typeable Symbol PrettyPrint Symbol Show Symbol Eq Symbol Ord Symbol Comorphism CASL2HasCASL CASL CASL_Sublogics BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol () HasCASL HasCASL_Sublogics BasicSpec Term SymbItems SymbMapItems Env Morphism Symbol RawSymbol ()

type SymbolSet = Set Symbol

type SymbolMap = EndoMap Symbol

data RawSymbol

Constructors ASymbol Symbol AnID Id AKindedId Kind Id Instances ATermConvertible RawSymbol StaticAnalysis CASL BASIC_SPEC FORMULA () SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol Logic CASL CASL_Sublogics BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol () Typeable RawSymbol PrettyPrint RawSymbol Show RawSymbol Eq RawSymbol Ord RawSymbol Comorphism CASL2HasCASL CASL CASL_Sublogics BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol () HasCASL HasCASL_Sublogics BasicSpec Term SymbItems SymbMapItems Env Morphism Symbol RawSymbol ()

type RawSymbolSet = Set RawSymbol

type RawSymbolMap = EndoMap RawSymbol

data Kind

Constructors SortKind FunKind PredKind Instances ATermConvertible Kind PrettyPrint Kind Show Kind Eq Kind Ord Kind

type Sort_map = Map SORT SORT

type Fun_map = Map (Id, OpType) (Id, FunKind)

type Pred_map = Map (Id, PredType) Id

data Morphism

Constructors Morphism msource :: Sign mtarget :: Sign sort_map :: Sort_map fun_map :: Fun_map pred_map :: Pred_map Instances ATermConvertible Morphism Category CASL Sign Morphism Sentences CASL FORMULA () Sign Morphism Symbol StaticAnalysis CASL BASIC_SPEC FORMULA () SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol Logic CASL CASL_Sublogics BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol () Typeable Morphism PrettyPrint Morphism Eq Morphism Show Morphism Comorphism CASL2HasCASL CASL CASL_Sublogics BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol RawSymbol () HasCASL HasCASL_Sublogics BasicSpec Term SymbItems SymbMapItems Env Morphism Symbol RawSymbol ()

mapSort :: Sort_map -> SORT -> SORT

mapOpType :: Sort_map -> OpType -> OpType

mapOpTypeK :: Sort_map -> FunKind -> OpType -> OpType

makeTotal :: FunKind -> OpType -> OpType

mapOpSym :: Sort_map -> Fun_map -> (Id, OpType) -> Maybe (Id, OpType)

compatibleOpTypes :: OpType -> OpType -> Bool

Check if two OpTypes are equal except from totality or partiality

mapPredType :: Sort_map -> PredType -> PredType

mapPredSym :: Sort_map -> Pred_map -> (Id, PredType) -> Maybe (Id, PredType)

embedMorphism :: Sign -> Sign -> Morphism

sentenceTc :: TyCon

signTc :: TyCon

morphismTc :: TyCon

symbolTc :: TyCon

rawSymbolTc :: TyCon

idToSortSymbol :: Id -> Symbol

idToOpSymbol :: Id -> OpType -> Symbol

idToPredSymbol :: Id -> PredType -> Symbol

symbTypeToKind :: SymbType -> Kind

symbolToRaw :: Symbol -> RawSymbol

idToRaw :: Id -> RawSymbol

rawSymName :: RawSymbol -> SORT

symOf :: Sign -> SymbolSet

statSymbMapItems :: [SYMB_MAP_ITEMS] -> Result RawSymbolMap

pairM :: Monad m => (m a, m b) -> m (a, b)

symbOrMapToRaw :: SYMB_KIND -> SYMB_OR_MAP -> Result (RawSymbol, RawSymbol)

statSymbItems :: [SYMB_ITEMS] -> Result [RawSymbol]

symbToRaw :: SYMB_KIND -> SYMB -> Result RawSymbol

symbKindToRaw :: SYMB_KIND -> Id -> Result RawSymbol

typedSymbKindToRaw :: SYMB_KIND -> Id -> TYPE -> Result RawSymbol

symbMapToMorphism :: Sign -> Sign -> SymbolMap -> Result Morphism

morphismToSymbMap :: Morphism -> SymbolMap

matches :: Symbol -> RawSymbol -> Bool

idMor :: Sign -> Morphism

compose :: Morphism -> Morphism -> Maybe Morphism

sigInclusion :: Sign -> Sign -> Result Morphism

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