{-# LANGUAGE MultiParamTypeClasses, TypeSynonymInstances #-}

{- |

Module : $Header$

Copyright : (c) Till Mossakowski and Uni Bremen 2004

License : GPLv2 or higher, see LICENSE.txt

Maintainer : till@informatik.uni-bremen.de

Stability : provisional

Portability : non-portable (imports Logic.Logic)

The embedding comorphism from CspCASL to ModalCASL.

It keeps the CASL part and interprets the CspCASL LTS semantics as

Kripke structure

-}

module Comorphisms.CspCASL2Modal where

import Logic.Logic

import Logic.Comorphism

import qualified Data.Set as Set

import Common.Id

-- CASL

import CASL.Sign

import CASL.AS_Basic_CASL

import CASL.Morphism

-- CspCASL

import CspCASL.Logic_CspCASL

import CspCASL.SignCSP

import CspCASL.AS_CspCASL (CspBasicSpec (..))

import CspCASL.Morphism (CspCASLMorphism)

-- ModalCASL

import Modal.Logic_Modal

import Modal.AS_Modal

import Modal.ModalSign

-- | The identity of the comorphism

data CspCASL2Modal = CspCASL2Modal deriving (Show)

instance Language CspCASL2Modal -- default definition is okay

instance Comorphism CspCASL2Modal

CspCASL ()

CspBasicSpec CspCASLSen SYMB_ITEMS SYMB_MAP_ITEMS

CspCASLSign

CspCASLMorphism

Symbol RawSymbol ()

Modal ()

M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS

MSign

ModalMor

Symbol RawSymbol () where

sourceLogic CspCASL2Modal = cspCASL

sourceSublogic CspCASL2Modal = ()

targetLogic CspCASL2Modal = Modal

mapSublogic CspCASL2Modal _ = Just ()

map_theory CspCASL2Modal = return . simpleTheoryMapping mapSig mapSen

map_morphism CspCASL2Modal = return . mapMor

map_sentence CspCASL2Modal _ = return . mapSen

map_symbol CspCASL2Modal _ = Set.singleton . mapSym

mapSig :: CspCASLSign -> MSign

mapSig sign =

(emptySign emptyModalSign) {sortSet = sortSet sign

, sortRel = sortRel sign

, opMap = opMap sign

, assocOps = assocOps sign

, predMap = predMap sign }

-- ??? add modalities

mapMor :: CspCASLMorphism -> ModalMor

mapMor m = (embedMorphism emptyMorExt (mapSig $ msource m) $ mapSig $ mtarget m)

{ sort_map = sort_map m

, op_map = op_map m

, pred_map = pred_map m }

-- ??? add modalities

mapSym :: Symbol -> Symbol

mapSym = error "CspCASL2Modal.mapSym not yet implemented"

-- needs to be changed once modal symbols are added

mapSen :: CspCASLSen -> ModalFORMULA

mapSen _f = True_atom nullRange

{- case f of

Quantification q vs frm ps ->

Quantification q vs (mapSen frm) ps

Conjunction fs ps ->

Conjunction (map mapSen fs) ps

Disjunction fs ps ->

Disjunction (map mapSen fs) ps

Implication f1 f2 b ps ->

Implication (mapSen f1) (mapSen f2) b ps

Equivalence f1 f2 ps ->

Equivalence (mapSen f1) (mapSen f2) ps

Negation frm ps -> Negation (mapSen frm) ps

True_atom ps -> True_atom ps

False_atom ps -> False_atom ps

Existl_equation t1 t2 ps ->

Existl_equation (mapTERM t1) (mapTERM t2) ps

Strong_equation t1 t2 ps ->

Strong_equation (mapTERM t1) (mapTERM t2) ps

Predication pn as qs ->

Predication pn (map mapTERM as) qs

Definedness t ps -> Definedness (mapTERM t) ps

Membership t ty ps -> Membership (mapTERM t) ty ps

Sort_gen_ax constrs isFree -> Sort_gen_ax constrs isFree

_ -> error "CspCASL2Modal.mapSen"

mapTERM :: TERM () -> TERM M_FORMULA

mapTERM t = case t of

Qual_var v ty ps -> Qual_var v ty ps

Application opsym as qs -> Application opsym (map mapTERM as) qs

Sorted_term trm ty ps -> Sorted_term (mapTERM trm) ty ps

Cast trm ty ps -> Cast (mapTERM trm) ty ps

Conditional t1 f t2 ps ->

Conditional (mapTERM t1) (mapSen f) (mapTERM t2) ps

_ -> error "CspCASL2Modal.mapTERM"

-}