{- |

Module : $Header$

Description : Coding of CASL into SoftFOL

Copyright : (c) Dominik Luecke and Uni Bremen 2007

License : similar to LGPL, see HetCATS/LICENSE.txt or LIZENZ.txt

Maintainer : luecke@tzi.de

Stability : experimental

Portability : non-portable (imports Logic.Logic)

The translating comorphism from Propositional to CASL.

-}

module Comorphisms.Prop2CASL

(

Prop2CASL (..)

)

where

import Logic.Logic

import Logic.Comorphism

import qualified Data.Set as Set

import qualified Data.Map as Map

import qualified Common.AS_Annotation as AS_Anno

import qualified Common.Id as Id

import qualified Common.Result as Result

import qualified Common.GlobalAnnotations as GA

import qualified Common.Lib.Rel as Rel

-- Propositional

import qualified Propositional.Logic_Propositional as PLogic

import qualified Propositional.AS_BASIC_Propositional as PBasic

import qualified Propositional.Sublogic as PSL

import qualified Propositional.Sign as PSign

import qualified Propositional.Morphism as PMor

import qualified Propositional.Symbol as PSymbol

-- CASL

import qualified CASL.Logic_CASL as CLogic

import qualified CASL.AS_Basic_CASL as CBasic

import qualified CASL.Sublogic as CSL

import qualified CASL.Sign as CSign

import qualified CASL.Morphism as CMor

-- | lid of the morphism

data Prop2CASL = Prop2CASL deriving (Show)

instance Language Prop2CASL

instance Comorphism Prop2CASL

PLogic.Propositional

PSL.PropSL

PBasic.BASIC_SPEC

PBasic.FORMULA

PBasic.SYMB_ITEMS

PBasic.SYMB_MAP_ITEMS

PSign.Sign

PMor.Morphism

PSymbol.Symbol

PSymbol.Symbol

()

CLogic.CASL

CSL.CASL_Sublogics

CLogic.CASLBasicSpec

CLogic.CASLFORMULA

CBasic.SYMB_ITEMS

CBasic.SYMB_MAP_ITEMS

CLogic.CASLSign

CLogic.CASLMor

CSign.Symbol

CMor.RawSymbol

()

where

sourceLogic Prop2CASL = PLogic.Propositional

sourceSublogic Prop2CASL = PSL.top

targetLogic Prop2CASL = CLogic.CASL

mapSublogic Prop2CASL = mapSub

map_theory Prop2CASL = mapTheory

is_model_transportable Prop2CASL = True

map_symbol Prop2CASL = mapSym

map_sentence Prop2CASL = mapSentence

map_morphism Prop2CASL = mapMor

has_model_expansion Prop2CASL = True

is_weakly_amalgamable Prop2CASL = True

-- | Translation of the signature

mapSig :: PSign.Sign -> CLogic.CASLSign

mapSig sign = CSign.Sign

{

CSign.sortSet = Set.empty

, CSign.sortRel = Rel.empty

, CSign.opMap = Map.empty

, CSign.assocOps = Map.empty

, CSign.predMap = Set.fold (\x -> Map.insert x

(Set.singleton $ CSign.PredType

{CSign.predArgs = []}))

Map.empty $ PSign.items sign

, CSign.varMap = Map.empty

, CSign.sentences = []

, CSign.envDiags = []

, CSign.annoMap = Map.empty

, CSign.globAnnos = GA.emptyGlobalAnnos

, CSign.extendedInfo = ()

}

-- | Which is the target sublogic?

mapSub :: PSL.PropSL -> CSL.CASL_Sublogics

mapSub sl =

case (PSL.isHC sl) of

True -> CSL.bottom

{

CSL.cons_features = CSL.NoSortGen

, CSL.sub_features = CSL.NoSub

, CSL.has_pred = True

, CSL.has_eq = False

, CSL.which_logic = CSL.Horn

}

False -> CSL.bottom

{

CSL.cons_features = CSL.NoSortGen

, CSL.sub_features = CSL.NoSub

, CSL.has_pred = True

, CSL.has_eq = False

, CSL.which_logic = CSL.FOL

}

-- | Translation of morphisms

mapMor :: PMor.Morphism -> Result.Result CLogic.CASLMor

mapMor mor = Result.Result

{

Result.diags = []

, Result.maybeResult = Just $ CMor.Morphism

{

CMor.msource = mapSig $ PMor.source mor

, CMor.mtarget = mapSig $ PMor.target mor

, CMor.sort_map = Map.empty

, CMor.fun_map = Map.empty

, CMor.pred_map = trMor $ PMor.propMap mor

, CMor.extended_map = ()

}

}

-- | Mapping of a theory

mapTheory :: (PSign.Sign, [AS_Anno.Named (PBasic.FORMULA)])

-> Result.Result (CLogic.CASLSign, [AS_Anno.Named (CLogic.CASLFORMULA)])

mapTheory (sig, form) = Result.Result

{

Result.diags = []

, Result.maybeResult = Just (mapSig sig, map trNamedForm form)

}

-- | Translation of symbols

mapSym :: PSymbol.Symbol -> Set.Set CSign.Symbol

mapSym sym = Set.singleton $ CSign.Symbol

{

CSign.symName = PSymbol.symName sym

, CSign.symbType = CSign.PredAsItemType CSign.PredType{CSign.predArgs = []}

}

-- | Translation of sentence

mapSentence :: PSign.Sign -> PBasic.FORMULA -> Result.Result CLogic.CASLFORMULA

mapSentence _ form = Result.Result

{

Result.diags = []

, Result.maybeResult = Just $ trForm form

}

-------------------------------------------------------------------------------

-- Helpers --

-------------------------------------------------------------------------------

-- | Helper for map theory

trNamedForm :: AS_Anno.Named (PBasic.FORMULA)

-> AS_Anno.Named (CLogic.CASLFORMULA)

trNamedForm form = AS_Anno.mapNamed trForm form

-- | Helper for map sentence and map theory

trForm :: PBasic.FORMULA

-> CLogic.CASLFORMULA

trForm form =

case form of

PBasic.Negation fn rn -> CBasic.Negation (trForm fn) rn

PBasic.Conjunction fn rn -> CBasic.Conjunction (map trForm fn) rn

PBasic.Disjunction fn rn -> CBasic.Disjunction (map trForm fn) rn

PBasic.Implication f1 f2 rn ->

CBasic.Implication (trForm f1) (trForm f2) True rn

PBasic.Equivalence f1 f2 rn ->

CBasic.Equivalence (trForm f1) (trForm f2) rn

PBasic.True_atom rn -> CBasic.True_atom rn

PBasic.False_atom rn -> CBasic.False_atom rn

PBasic.Predication pid -> CBasic.Predication

(CBasic.Qual_pred_name (Id.simpleIdToId pid)

(CBasic.Pred_type [] Id.nullRange)

Id.nullRange

)

[] Id.nullRange

-- | Helper for map mor

trMor :: Map.Map Id.Id Id.Id -> Map.Map (Id.Id, CSign.PredType) Id.Id

trMor mp =

let

pt = CSign.PredType{CSign.predArgs = []}

in

Map.foldWithKey

(\ k a ->

Map.insert (k, pt) a

)

Map.empty

mp