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	Safe

Maude.Symbol

Contents

Types The Symbol type
- Auxiliary types
Conversion
Construction
Testing

Description

Definition of symbols for Maude.

Synopsis

data Symbol
- = Sort Qid
- | Kind Qid
- | Labl Qid
- | Operator Qid Symbols Symbol
- | OpWildcard Qid
type Symbols = [Symbol]
type SymbolSet = Set Symbol
type SymbolMap = Map Symbol Symbol
type SymbolRel = Rel Symbol
data SymbolKind
- = SortK
- | KindK
- | LablK
- | OpK
sym_kind :: Symbol -> SymbolKind
kindSym2sortSym :: Symbol -> Symbol
toId :: Symbol -> Id
qualify :: Qid -> Symbol -> Symbol
asSort :: Symbol -> Symbol
asKind :: Symbol -> Symbol
toType :: Symbol -> Type
toOperator :: Symbol -> Operator
mkOpTotal :: Qid -> [Qid] -> Qid -> Symbol
mkOpPartial :: Qid -> [Qid] -> Qid -> Symbol
sameKind :: SymbolRel -> Symbol -> Symbol -> Bool

Types The Symbol type

data Symbol Source #

Constructors

Sort Qid	A `Sort` Symbol
Kind Qid	A `Kind` Symbol
Labl Qid	A `Label` Symbol
Operator Qid Symbols Symbol	A qualified `Operator` Symbol
OpWildcard Qid	A wildcard `Operator` Symbol

Instances

Instances details

Eq Symbol Source #
Instance details Defined in Maude.Symbol Methods (==) :: Symbol -> Symbol -> Bool (/=) :: Symbol -> Symbol -> Bool
Ord Symbol Source #
Instance details Defined in Maude.Symbol Methods compare :: Symbol -> Symbol -> Ordering (<) :: Symbol -> Symbol -> Bool (<=) :: Symbol -> Symbol -> Bool (>) :: Symbol -> Symbol -> Bool (>=) :: Symbol -> Symbol -> Bool max :: Symbol -> Symbol -> Symbol min :: Symbol -> Symbol -> Symbol
Read Symbol Source #
Instance details Defined in Maude.Symbol Methods readsPrec :: Int -> ReadS Symbol readList :: ReadS [Symbol] readPrec :: ReadPrec Symbol readListPrec :: ReadPrec [Symbol]
Show Symbol Source #
Instance details Defined in Maude.Symbol Methods showsPrec :: Int -> Symbol -> ShowS show :: Symbol -> String showList :: [Symbol] -> ShowS
Generic Symbol
Instance details Defined in Maude.ATC_Maude Associated Types type Rep Symbol :: Type -> Type Methods from :: Symbol -> Rep Symbol x to :: Rep Symbol x -> Symbol
GetRange Symbol Source #
Instance details Defined in Maude.Symbol Methods getRange :: Symbol -> Range Source # rangeSpan :: Symbol -> [Pos] Source #
FromJSON Symbol
Instance details Defined in Maude.ATC_Maude Methods parseJSON :: Value -> Parser Symbol parseJSONList :: Value -> Parser [Symbol]
ToJSON Symbol
Instance details Defined in Maude.ATC_Maude Methods toJSON :: Symbol -> Value toEncoding :: Symbol -> Encoding toJSONList :: [Symbol] -> Value toEncodingList :: [Symbol] -> Encoding
ShATermConvertible Symbol
Instance details Defined in Maude.ATC_Maude Methods toShATermAux :: ATermTable -> Symbol -> IO (ATermTable, Int) toShATermList' :: ATermTable -> [Symbol] -> IO (ATermTable, Int) fromShATermAux :: Int -> ATermTable -> (ATermTable, Symbol) fromShATermList' :: Int -> ATermTable -> (ATermTable, [Symbol])
Pretty Symbol Source #
Instance details Defined in Maude.Symbol Methods pretty :: Symbol -> Doc Source # pretties :: [Symbol] -> Doc Source #
HasName Symbol Source #
Instance details Defined in Maude.Symbol Methods getName :: Symbol -> Qid Source # mapName :: (Qid -> Qid) -> Symbol -> Symbol Source #
AsSymbol Symbol Source #
Instance details Defined in Maude.Meta.AsSymbol Methods asSymbol :: Symbol -> Symbol Source # asSymbolMaybe :: Symbol -> Maybe Symbol Source #
HasSorts Symbol Source #
Instance details Defined in Maude.Meta.HasSorts Methods getSorts :: Symbol -> SymbolSet Source # mapSorts :: SymbolMap -> Symbol -> Symbol Source #
HasSorts KindRel Source #
Instance details Defined in Maude.Sign Methods getSorts :: KindRel -> SymbolSet Source # mapSorts :: SymbolMap -> KindRel -> KindRel Source #
HasOps Symbol Source #
Instance details Defined in Maude.Meta.HasOps Methods getOps :: Symbol -> SymbolSet Source # mapOps :: SymbolMap -> Symbol -> Symbol 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 #
Syntax Maude MaudeText Symbol () () Source #	Instance of Syntax for Maude
Instance details Defined in Maude.Logic_Maude Methods parsersAndPrinters :: Maude -> Map String (PrefixMap -> AParser st MaudeText, MaudeText -> Doc) Source # parse_basic_spec :: Maude -> Maybe (PrefixMap -> AParser st MaudeText) Source # parseSingleSymbItem :: Maude -> Maybe (PrefixMap -> AParser st ()) Source # parse_symb_items :: Maude -> Maybe (PrefixMap -> AParser st ()) Source # parse_symb_map_items :: Maude -> Maybe (PrefixMap -> AParser st ()) Source # toItem :: Maude -> MaudeText -> Item Source # symb_items_name :: Maude -> () -> [String] 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 Symbol
Instance details Defined in Maude.ATC_Maude type Rep Symbol = D1 ('MetaData "Symbol" "Maude.Symbol" "main" 'False) ((C1 ('MetaCons "Sort" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Qid)) :+: C1 ('MetaCons "Kind" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Qid))) :+: (C1 ('MetaCons "Labl" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Qid)) :+: (C1 ('MetaCons "Operator" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Qid) :: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Symbols) :: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Symbol))) :+: C1 ('MetaCons "OpWildcard" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Qid)))))

Auxiliary types

type Symbols = [Symbol] Source #

type SymbolSet = Set Symbol Source #

type SymbolMap = Map Symbol Symbol Source #

type SymbolRel = Rel Symbol Source #

data SymbolKind Source #

Constructors

SortK
KindK
LablK
OpK

Instances

Instances details

Eq SymbolKind Source #
Instance details Defined in Maude.Symbol Methods (==) :: SymbolKind -> SymbolKind -> Bool (/=) :: SymbolKind -> SymbolKind -> Bool
Ord SymbolKind Source #
Instance details Defined in Maude.Symbol Methods compare :: SymbolKind -> SymbolKind -> Ordering (<) :: SymbolKind -> SymbolKind -> Bool (<=) :: SymbolKind -> SymbolKind -> Bool (>) :: SymbolKind -> SymbolKind -> Bool (>=) :: SymbolKind -> SymbolKind -> Bool max :: SymbolKind -> SymbolKind -> SymbolKind min :: SymbolKind -> SymbolKind -> SymbolKind
Read SymbolKind Source #
Instance details Defined in Maude.Symbol Methods readsPrec :: Int -> ReadS SymbolKind readList :: ReadS [SymbolKind] readPrec :: ReadPrec SymbolKind readListPrec :: ReadPrec [SymbolKind]
Show SymbolKind Source #
Instance details Defined in Maude.Symbol Methods showsPrec :: Int -> SymbolKind -> ShowS show :: SymbolKind -> String showList :: [SymbolKind] -> ShowS
Generic SymbolKind
Instance details Defined in Maude.ATC_Maude Associated Types type Rep SymbolKind :: Type -> Type Methods from :: SymbolKind -> Rep SymbolKind x to :: Rep SymbolKind x -> SymbolKind
FromJSON SymbolKind
Instance details Defined in Maude.ATC_Maude Methods parseJSON :: Value -> Parser SymbolKind parseJSONList :: Value -> Parser [SymbolKind]
ToJSON SymbolKind
Instance details Defined in Maude.ATC_Maude Methods toJSON :: SymbolKind -> Value toEncoding :: SymbolKind -> Encoding toJSONList :: [SymbolKind] -> Value toEncodingList :: [SymbolKind] -> Encoding
ShATermConvertible SymbolKind
Instance details Defined in Maude.ATC_Maude Methods toShATermAux :: ATermTable -> SymbolKind -> IO (ATermTable, Int) toShATermList' :: ATermTable -> [SymbolKind] -> IO (ATermTable, Int) fromShATermAux :: Int -> ATermTable -> (ATermTable, SymbolKind) fromShATermList' :: Int -> ATermTable -> (ATermTable, [SymbolKind])
Pretty SymbolKind Source #
Instance details Defined in Maude.Symbol Methods pretty :: SymbolKind -> Doc Source # pretties :: [SymbolKind] -> Doc Source #
type Rep SymbolKind
Instance details Defined in Maude.ATC_Maude type Rep SymbolKind = D1 ('MetaData "SymbolKind" "Maude.Symbol" "main" 'False) ((C1 ('MetaCons "SortK" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "KindK" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "LablK" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "OpK" 'PrefixI 'False) (U1 :: Type -> Type)))