{- |

Module : $Header$

Copyright : (c) Till Mossakowski and Uni Bremen 2004

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

Maintainer : luettich@tzi.de

Stability : provisional

Portability : non-portable (imports Logic.Logic)

The embedding comorphism from CASL to ModalCASL.

-}

module Comorphisms.CASL2Modal where

import Logic.Logic

import Logic.Comorphism

import qualified Common.Lib.Set as Set

-- CASL

import CASL.Logic_CASL

import CASL.Sublogic

import CASL.Sign

import CASL.AS_Basic_CASL

import CASL.Morphism

-- ModalCASL

import Modal.Logic_Modal

import Modal.AS_Modal

import Modal.ModalSign

-- | The identity of the comorphism

data CASL2Modal = CASL2Modal deriving (Show)

instance Language CASL2Modal -- default definition is okay

instance Comorphism CASL2Modal

CASL CASL_Sublogics

CASLBasicSpec CASLFORMULA SYMB_ITEMS SYMB_MAP_ITEMS

CASLSign

CASLMor

Symbol RawSymbol ()

Modal ()

M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS

MSign

ModalMor

Symbol RawSymbol () where

sourceLogic CASL2Modal = CASL

sourceSublogic CASL2Modal = CASL_SL

{ has_sub = True,

has_part = True,

has_cons = True,

has_eq = True,

has_pred = True,

which_logic = FOL

}

targetLogic CASL2Modal = Modal

targetSublogic CASL2Modal = ()

map_theory CASL2Modal = return . simpleTheoryMapping mapSig mapSen

map_morphism CASL2Modal = return . mapMor

map_sentence CASL2Modal _ = return . mapSen

map_symbol CASL2Modal = Set.singleton . mapSym

mapSig :: CASLSign -> MSign

mapSig sign =

(emptySign emptyModalSign) {sortSet = sortSet sign

, sortRel = sortRel sign

, opMap = opMap sign

, assocOps = assocOps sign

, predMap = predMap sign }

mapMor :: CASLMor -> ModalMor

mapMor m = Morphism {msource = mapSig $ msource m

, mtarget = mapSig $ mtarget m

, sort_map = sort_map m

, fun_map = fun_map m

, pred_map = pred_map m

, extended_map = ()}

mapSym :: Symbol -> Symbol

mapSym = id -- needs to be changed once modal symbols are added

mapSen :: CASLFORMULA -> ModalFORMULA

mapSen f = 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 "CASL2Modal.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 "CASL2Modal.mapTERM"