{-# LANGUAGE MultiParamTypeClasses, TypeSynonymInstances, FlexibleInstances #-}

{- |

Module : ./Comorphisms/Maude2CASL.hs

Description : Coding of Maude with preorder semantics into CASL

Copyright : (c) Adrian Riesco and Uni Bremen 2007

License : GPLv2 or higher, see LICENSE.txt

Maintainer : ariesco@fdi.ucm.es

Stability : experimental

Portability : non-portable (imports Logic.Logic)

The translating comorphism from Maude with preorder semantics to CASL.

-}

module Comorphisms.Maude2CASL

(

Maude2CASL (..)

, mapMaudeFreeness

)

where

import Logic.Logic

import Logic.Comorphism

-- Maude

import qualified Maude.Logic_Maude as MLogic

import qualified Maude.AS_Maude as MAS

import qualified Maude.Sign as MSign

import qualified Maude.Morphism as MMor

import qualified Maude.Symbol as MSymbol

import qualified Maude.Sentence as MSentence

import Maude.PreComorphism

-- 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

import Common.Id ()

import Common.ProofTree

import Common.Result

import qualified Common.Lib.Rel as Rel

import qualified Common.Lib.MapSet as MapSet

import qualified Data.Map as Map

import qualified Data.Set as Set

-- | lid of the morphism

data Maude2CASL = Maude2CASL deriving Show

instance Language Maude2CASL

instance Comorphism Maude2CASL

MLogic.Maude

()

MAS.MaudeText

MSentence.Sentence

()

()

MSign.Sign

MMor.Morphism

MSymbol.Symbol

MSymbol.Symbol

()

CLogic.CASL

CSL.CASL_Sublogics

CLogic.CASLBasicSpec

CBasic.CASLFORMULA

CBasic.SYMB_ITEMS

CBasic.SYMB_MAP_ITEMS

CSign.CASLSign

CMor.CASLMor

CSign.Symbol

CMor.RawSymbol

ProofTree

where

sourceLogic Maude2CASL = MLogic.Maude

sourceSublogic Maude2CASL = ()

targetLogic Maude2CASL = CLogic.CASL

mapSublogic Maude2CASL _ = Just CSL.caslTop

{ CSL.cons_features = CSL.emptyMapConsFeature

, CSL.sub_features = CSL.NoSub }

map_theory Maude2CASL = mapTheory

is_model_transportable Maude2CASL = True

map_symbol Maude2CASL = mapSymbol

map_sentence Maude2CASL = mapSentence

map_morphism Maude2CASL = mapMorphism

has_model_expansion Maude2CASL = True

is_weakly_amalgamable Maude2CASL = True

isInclusionComorphism Maude2CASL = True

mapMaudeFreeness :: MMor.Morphism

-> Result (CSign.CASLSign, CMor.CASLMor, CMor.CASLMor)

mapMaudeFreeness morph = do

let sMaude = MMor.source morph

tMaude = MMor.target morph

(sCASL, _) <- map_theory Maude2CASL (sMaude, [])

(tCASL, _) <- map_theory Maude2CASL (tMaude, [])

let tExt = signExtension tMaude tCASL

(f1, f2) = morExtension morph tExt sCASL tCASL

return (tExt, f1, f2)

signExtension :: MSign.Sign -> CSign.CASLSign -> CSign.CASLSign

signExtension sigma sigmaC =

let

sorts = Set.map MSymbol.toId $ MSign.sorts sigma

subsorts = Rel.map MSymbol.toId $ MSign.subsorts sigma

kindR = MSign.kindRel sigma

funs = (\ (x, _, _) -> x) $ translateOps (kindMapId kindR) $ MSign.ops sigma

funSorts = atLeastOneSort $ MSign.ops sigma

funs' = (\ (x, _, _) -> x) $ translateOps' (kindMapId kindR) funSorts

{- opTypeKind (CSign.OpType oK oArgs oRes) =

CSign.OpType oK (map kindId oArgs) (kindId oRes) -}

in sigmaC

{CSign.sortRel = Rel.union

(Rel.fromKeysSet $ Set.union sorts $ Set.map kindId sorts)

$ Rel.union subsorts $ Rel.union

(Rel.map kindId subsorts)

$ Rel.fromSet

$ Set.map (\ x -> (x, kindId x)) sorts,

CSign.opMap = CSign.addOpMapSet funs funs',

-- Map.map (\s -> Set.union s $ Set.map opTypeKind s) funs,

CSign.predMap = rewPredicates $ Set.union sorts

$ Set.map kindId sorts

}

morExtension :: MMor.Morphism -> -- sigma:\Sigma -> \Sigma'

CSign.CASLSign -> -- phi(\Sigma)

CSign.CASLSign -> -- phi(\Sigma')

CSign.CASLSign -> -- \Sigma'#

(CMor.CASLMor, CMor.CASLMor)

morExtension phi tExt sCASL tCASL =

let

changeMap f mapF = Map.mapKeys f $

Map.map f mapF

sortF = changeMap MSymbol.toId $ MMor.sortMap phi

iotaN = CMor.embedMorphism () tCASL tExt

genOps f = let

f' = MSymbol.toId f

profiles = MapSet.lookup f' $ CSign.opMap sCASL

ff = Map.findWithDefault (error "morExtension")

f $ MMor.opMap phi

in Set.toList $ Set.map (\ x -> ((f', x),

(MSymbol.toId ff, CBasic.Partial)))

profiles

phi' = CMor.Morphism {

CMor.msource = sCASL,

CMor.mtarget = tExt,

CMor.sort_map = Map.union sortF $

changeMap kindId sortF,

CMor.op_map = Map.fromList $ concatMap genOps $ Map.keys $

MMor.opMap phi ,

CMor.pred_map = Map.empty,

-- because rew is mapped identically!

CMor.extended_map = ()

}

in (iotaN, phi')