{- |

Module : $Header$

Copyright : (c) Till Mossakowski and Uni Bremen 2003

Licence : All rights reserved.

Maintainer : hets@tzi.de

Stability : provisional

Portability : non-portable (imports Logic.Logic)

The embedding comorphism from CASL to Isabelle-HOL.

-}

module Comorphisms.CASL2IsabelleHOL where

import Logic.Logic

import Logic.Comorphism

import Common.Id

import qualified Common.Lib.Map as Map

import Common.Lib.Set as Set

import Data.Dynamic

import Data.List

-- CASL

import CASL.Logic_CASL

import CASL.AS_Basic_CASL

import CASL.Sublogic

import CASL.Sign

import CASL.Morphism

-- Isabelle

import Isabelle.IsaSign as IsaSign

import Isabelle.Logic_Isabelle

-- | The identity of the comorphism

data CASL2IsabelleHOL = CASL2IsabelleHOL deriving (Show)

instance Language CASL2IsabelleHOL -- default definition is okay

tycon_CASL2IsabelleHOL :: TyCon

tycon_CASL2IsabelleHOL = mkTyCon "G_sign"

instance Typeable CASL2IsabelleHOL where

typeOf _ = mkAppTy tycon_CASL2IsabelleHOL []

instance Comorphism CASL2IsabelleHOL

CASL CASL.Sublogic.CASL_Sublogics

BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS

CASL.Sign.Sign

CASL.Morphism.Morphism

CASL.Morphism.Symbol CASL.Morphism.RawSymbol ()

Isabelle () () IsaSign.Sentence () ()

IsaSign.Sign

() () () () where

sourceLogic _ = CASL

sourceSublogic _ = CASL_SL

{ has_sub = False, -- no subsorting yet ...

has_part = False, -- no partiality yet ...

has_cons = True,

has_eq = True,

has_pred = True,

which_logic = FOL

}

targetLogic _ = Isabelle

targetSublogic _ = ()

map_sign _ = transSignature

--map_morphism _ morphism1 -> Maybe morphism2

map_sentence _ sign phi =

Just $ Sentence {senTerm = transFORMULA sign phi}

--map_symbol :: cid -> symbol1 -> Set symbol2

------------------------------ Ids ---------------------------------

-- drop special characters from Ids

transChar :: Char -> String

transChar '[' = "__"

transChar ']' = "__"

transChar x = [x]

transString :: String -> String

transString = concat . map transChar

showIsa :: Id -> String

showIsa = transString . show

showIsaSid :: SIMPLE_ID -> String

showIsaSid = transString . show

-- disambiguation of overloaded ids

showIsaI :: Id -> Int -> String

showIsaI ident i = showIsa ident ++ "__" ++ show i

---------------------------- Signature -----------------------------

transSignature :: CASL.Sign.Sign -> Maybe(IsaSign.Sign,[IsaSign.Sentence])

transSignature sign =

Just(IsaSign.Sign{

baseSig = "HOL",

tsig = emptyTypeSig

{tycons = Set.fold (\s -> Map.insert (showIsa s) 0)

Map.empty (sortSet sign)},

constTab = Map.foldWithKey insertOps

(Map.foldWithKey insertPreds

Map.empty

(predMap sign))

(opMap sign),

syn = () },

[] ) -- for now. no sentences

where

insertOps op ts m =

if Set.size ts == 1

then Map.insert (showIsa op) (transOpType (Set.findMin ts)) m

else

foldl (\m1 (t,i) -> Map.insert (showIsaI op i) (transOpType t) m1) m

(zip (Set.toList ts) [1..size ts])

insertPreds pred ts m =

if Set.size ts == 1

then Map.insert (showIsa pred) (transPredType (Set.findMin ts)) m

else

foldl (\m1 (t,i) -> Map.insert (showIsaI pred i) (transPredType t) m1) m

(zip (Set.toList ts) [1..size ts])

transSort :: SORT -> Typ

transSort s = Type(showIsa s,[])

transOpType :: OpType -> Typ

transOpType ot = map transSort (opArgs ot) ---> transSort (opRes ot)

transPredType :: PredType -> Typ

transPredType pt = map transSort (predArgs pt) ---> boolType

------------------------------ Formulas ------------------------------

transVar :: VAR -> String

transVar = showIsaSid

flatVAR_DECL :: VAR_DECL -> [(VAR, SORT)]

flatVAR_DECL (Var_decl vlist s _) = map (\v -> (v,s)) vlist

flatVAR_DECLs :: [VAR_DECL] -> [(VAR, SORT)]

flatVAR_DECLs = concat . map flatVAR_DECL

quantify q (v,t) phi =

Const (qname q,dummyT) `App` Abs (transVar v,transSort t,phi)

where

qname Universal = "All"

qname Existential = "Ex"

qname Unique_existential = "Ex1"

binConj phi1 phi2 =

Const("op &",dummyT) `App` phi1 `App` phi2

binDisj phi1 phi2 =

Const("op |",dummyT) `App` phi1 `App` phi2

binImpl phi1 phi2 =

Const("op -->",dummyT) `App` phi1 `App` phi2

binEq phi1 phi2 =

Const("op =",dummyT) `App` phi1 `App` phi2

transOP_SYMB _ (Op_name op) = showIsa op

transOP_SYMB sign (Qual_op_name op ot _) =

case (do ots <- Map.lookup op (opMap sign)

elemIndex (toOpType ot) (Set.toList ots)) of

Just i -> showIsaI op i

Nothing -> showIsa op

transPRED_SYMB _ (Pred_name p) = showIsa p

transPRED_SYMB sign (Qual_pred_name p pt _) =

case (do pts <- Map.lookup p (predMap sign)

elemIndex (toPredType pt) (Set.toList pts)) of

Just i -> showIsaI p i

Nothing -> showIsa p

transFORMULA :: CASL.Sign.Sign -> FORMULA -> Term

transFORMULA sign (Quantification quant vdecl phi _) =

foldr (quantify quant) (transFORMULA sign phi) (flatVAR_DECLs vdecl)

transFORMULA sign (Conjunction phis _) =

foldl1 binConj (map (transFORMULA sign) phis)

transFORMULA sign (Disjunction phis _) =

foldl1 binDisj (map (transFORMULA sign) phis)

transFORMULA sign (Implication phi1 phi2 _) =

binImpl (transFORMULA sign phi1) (transFORMULA sign phi2)

transFORMULA sign (Equivalence phi1 phi2 _) =

binEq (transFORMULA sign phi1) (transFORMULA sign phi2)

transFORMULA sign (Negation phi _) =

Const ("Not",dummyT) `App` (transFORMULA sign phi)

transFORMULA sign (Negation phi _) =

Const ("Not",dummyT) `App` (transFORMULA sign phi)

transFORMULA sign (True_atom _) =

Const ("True",dummyT)

transFORMULA sign (False_atom _) =

Const ("False",dummyT)

transFORMULA sign (Predication psymb args _) =

foldl App (Const (transPRED_SYMB sign psymb,dummyT))

(map (transTERM sign) args)

transFORMULA sign (Definedness t _) =

Const ("True",dummyT)

transFORMULA sign (Existl_equation t1 t2 _) =

Const ("op =",dummyT) `App` (transTERM sign t1) `App` (transTERM sign t2)

transFORMULA sign (Strong_equation t1 t2 _) =

Const ("op =",dummyT) `App` (transTERM sign t1) `App` (transTERM sign t2)

transFORMULA sign (Membership t1 s _) =

error "No translation for membership"

transFORMULA sign (Sort_gen_ax sorts ops) =

error "No translation for sort generation constraints"

transFORMULA sign (Mixfix_formula _) =

error "No translation for mixfix formulas"

transFORMULA sign (Unparsed_formula _ _) =

error "No translation for unparsed formulas"

transTERM sign (Qual_var v s _) =

Free(transVar v,dummyT)

transTERM sign (Application opsymb args _) =

foldl App (Const (transOP_SYMB sign opsymb,dummyT))

(map (transTERM sign) args)

transTERM sign (Sorted_term t s _) =

transTERM sign t

transTERM sign (Cast t s _) =

transTERM sign t

transTERM sign (Conditional t1 phi t2 _) =

Const ("If",dummyT) `App` (transFORMULA sign phi)

`App` (transTERM sign t1)

`App` (transTERM sign t2)

transTERM sign (Unparsed_term _ _) =

error "No translation for unparsed terms"

transTERM sign (Mixfix_qual_pred _) =

error "No translation for mixfix terms"

transTERM sign (Mixfix_term _) =

error "No translation for mixfix terms"

transTERM sign (Mixfix_token _) =

error "No translation for mixfix terms"

transTERM sign (Mixfix_sorted_term _ _) =

error "No translation for mixfix terms"

transTERM sign (Simple_id _) =

error "No translation for undisambigated identifier"