Logic_CASL_DL.hs revision e9458b1a7a19a63aa4c179f9ab20f4d50681c168
{-# LANGUAGE MultiParamTypeClasses, TypeSynonymInstances, FlexibleInstances #-}
{- |
Module : ./CASL_DL/Logic_CASL_DL.hs
Description : Instance of class Logic for CASL DL
Copyright : (c) Klaus Luettich, Uni Bremen 2005
License : GPLv2 or higher, see LICENSE.txt
Maintainer : luecke@informatik.uni-bremen.de
Stability : provisional
Portability : portable
Instance of class Logic for CASL DL
-}
module CASL_DL.Logic_CASL_DL (CASL_DL (..), DLMor, DLFORMULA) where
import qualified Data.Set as Set
import qualified Common.Lib.Rel as Rel
import Common.Result
import Common.ProofTree
import CASL_DL.AS_CASL_DL
import CASL_DL.Sign
import CASL_DL.PredefinedCASLAxioms
import CASL_DL.ATC_CASL_DL ()
import CASL_DL.Parse_AS ()
import CASL_DL.StatAna
import CASL.Sign
import CASL.Morphism
import CASL.SymbolMapAnalysis
import CASL.AS_Basic_CASL
import CASL.Parse_AS_Basic
import CASL.MapSentence
import CASL.SymbolParser
import CASL.Taxonomy
import CASL.SimplifySen
import CASL.Logic_CASL ()
import CASL_DL.Sublogics
import Logic.Logic
data CASL_DL = CASL_DL deriving Show
instance Language CASL_DL where
description _ = unlines
[ "CASL_DL is at the same time an extension and a restriction of CASL."
, "It additionally provides cardinality restrictions in a description logic"
, "sense; and it limits the expressivity of CASL to the description logic"
, "SHOIN(D). Hence it provides the following sublogics:"
, " * Card -- CASL plus cardinality restrictions on binary relations"
, " * DL -- SHOIN(D)"
, " * SHIQ"
, " * SHOIQ" ]
type DLMor = Morphism DL_FORMULA CASL_DLSign (DefMorExt CASL_DLSign)
type DLFORMULA = FORMULA DL_FORMULA
instance SignExtension CASL_DLSign where
isSubSignExtension = isSubCASL_DLSign
instance Syntax CASL_DL DL_BASIC_SPEC
Symbol SYMB_ITEMS SYMB_MAP_ITEMS
where
parse_basic_spec CASL_DL = Just $ basicSpec casl_DL_reserved_words
parse_symb_items CASL_DL = Just $ symbItems casl_DL_reserved_words
parse_symb_map_items CASL_DL =
Just $ symbMapItems casl_DL_reserved_words
-- CASL_DL logic
map_DL_FORMULA :: MapSen DL_FORMULA CASL_DLSign (DefMorExt CASL_DLSign)
map_DL_FORMULA mor (Cardinality ct pn varT natT qualT r) =
Cardinality ct pn' varT' natT' qualT r
where pn' = mapPrSymb mor pn
varT' = mapTrm varT
natT' = mapTrm natT
mapTrm = mapTerm map_DL_FORMULA mor
instance Sentences CASL_DL DLFORMULA DLSign DLMor Symbol where
map_sen CASL_DL m = return . mapSen map_DL_FORMULA m
sym_of CASL_DL = symOf
symmap_of CASL_DL = morphismToSymbMap
sym_name CASL_DL = symName
simplify_sen CASL_DL = simplifySen minDLForm simplifyCD
simplifyCD :: DLSign -> DL_FORMULA -> DL_FORMULA
simplifyCD sign (Cardinality ct ps t1 t2 t3 r) = simpCard
where simpCard = maybe (card ps)
(const $ card $ Pred_name pn)
(resultToMaybe $
minDLForm sign $ card $ Pred_name pn)
simp = rmTypesT minDLForm simplifyCD sign
card psy = Cardinality ct psy (simp t1) (simp t2) t3 r
pn = case ps of
Pred_name n -> n
Qual_pred_name n _pType _ -> n
instance StaticAnalysis CASL_DL DL_BASIC_SPEC DLFORMULA
SYMB_ITEMS SYMB_MAP_ITEMS
DLSign
DLMor
Symbol RawSymbol where
basic_analysis CASL_DL = Just basicCASL_DLAnalysis
stat_symb_map_items CASL_DL s t sml =
statSymbMapItems s t sml >>= checkSymbolMapDL
stat_symb_items CASL_DL = statSymbItems
symbol_to_raw CASL_DL = symbolToRaw
id_to_raw CASL_DL = idToRaw
matches CASL_DL = CASL.Morphism.matches
empty_signature CASL_DL = emptySign emptyCASL_DLSign
signature_union CASL_DL s = return . addSig addCASL_DLSign s
morphism_union CASL_DL = plainMorphismUnion addCASL_DLSign
final_union CASL_DL = finalUnion addCASL_DLSign
is_subsig CASL_DL = isSubSig isSubCASL_DLSign
subsig_inclusion CASL_DL = sigInclusion emptyMorExt
cogenerated_sign CASL_DL = cogeneratedSign emptyMorExt
generated_sign CASL_DL = generatedSign emptyMorExt
induced_from_morphism CASL_DL = inducedFromMorphism emptyMorExt
induced_from_to_morphism CASL_DL =
inducedFromToMorphism emptyMorExt isSubCASL_DLSign diffCASL_DLSign
theory_to_taxonomy CASL_DL tgk mo =
convTaxo tgk mo . extendSortRelWithTopSort
-- | extend the sort relation with sort Thing for the taxonomy display
extendSortRelWithTopSort :: Sign f e -> Sign f e
extendSortRelWithTopSort sig = sig {sortRel = addThing $ sortRel sig}
where addThing r = Rel.union r (Rel.fromSet
$ Set.map (\ x -> (x, thing))
$ sortSet sig)
instance Logic CASL_DL CASL_DL_SL
DL_BASIC_SPEC DLFORMULA SYMB_ITEMS SYMB_MAP_ITEMS
DLSign
DLMor
Symbol RawSymbol ProofTree where
stability _ = Unstable
top_sublogic _ = SROIQ
all_sublogics _ = [SROIQ]
instance MinSublogic CASL_DL_SL DLFORMULA where
minSublogic _ = SROIQ
instance ProjectSublogic CASL_DL_SL DLMor where
projectSublogic _ = id
instance MinSublogic CASL_DL_SL DLMor where
minSublogic _ = SROIQ
instance ProjectSublogic CASL_DL_SL DLSign where
projectSublogic _ = id
instance MinSublogic CASL_DL_SL DLSign where
minSublogic _ = SROIQ
instance ProjectSublogicM CASL_DL_SL SYMB_MAP_ITEMS where
projectSublogicM _ = Just
instance ProjectSublogicM CASL_DL_SL SYMB_ITEMS where
projectSublogicM _ = Just
instance MinSublogic CASL_DL_SL SYMB_MAP_ITEMS where
minSublogic _ = SROIQ
instance MinSublogic CASL_DL_SL SYMB_ITEMS where
minSublogic _ = SROIQ
instance ProjectSublogic CASL_DL_SL DL_BASIC_SPEC where
projectSublogic _ = id
instance MinSublogic CASL_DL_SL DL_BASIC_SPEC where
minSublogic _ = SROIQ
instance SublogicName CASL_DL_SL where
sublogicName SROIQ = show SROIQ
instance SemiLatticeWithTop CASL_DL_SL where
lub _ _ = SROIQ
top = SROIQ
instance ProjectSublogic CASL_DL_SL Symbol where
projectSublogic _ = id
instance ProjectSublogicM CASL_DL_SL Symbol where
projectSublogicM _ = Just
instance MinSublogic CASL_DL_SL Symbol where
minSublogic _ = SROIQ