{- |

Module : $Header$

Copyright : (c) Till Mossakowski, Uni Bremen 2002-2004

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

Maintainer : luettich@tzi.de

Stability : provisional

Portability : portable

Instance of class Logic for modal logic.

-}

{- todo:

check preservation of rigidity of morphisms

-}

module Modal.Logic_Modal where

import Modal.AS_Modal

import Modal.ModalSign

import Modal.ATC_Modal()

import Modal.Parse_AS

import Modal.StatAna

import CASL.Sign

import CASL.Morphism

import CASL.SymbolMapAnalysis

import CASL.Logic_CASL

import CASL.AS_Basic_CASL

import CASL.Parse_AS_Basic

import CASL.MapSentence

import CASL.SymbolParser

import CASL.Taxonomy

import Logic.Logic

import CASL.SimplifySen

data Modal = Modal deriving Show

instance Language Modal where

description _ =

"ModalCASL extends CASL by modal operators. Syntax for ordinary\n\

\modalities, multi-modal logics as well as term-modal\n\

\logic (also covering dynamic logic) is provided.\n\

\Specific modal logics can be obtained via restrictions to\n\

\sublanguages."

type MSign = Sign M_FORMULA ModalSign

type ModalMor = Morphism M_FORMULA ModalSign ()

type ModalFORMULA = FORMULA M_FORMULA

instance Category Modal MSign ModalMor

where

-- ide :: id -> object -> morphism

ide Modal = idMor dummy

-- comp :: id -> morphism -> morphism -> Maybe morphism

comp Modal = compose (const id)

-- dom, cod :: id -> morphism -> object

dom Modal = msource

cod Modal = mtarget

-- legal_obj :: id -> object -> Bool

legal_obj Modal = legalSign

-- legal_mor :: id -> morphism -> Bool

legal_mor Modal = legalMor

-- abstract syntax, parsing (and printing)

instance Syntax Modal M_BASIC_SPEC

SYMB_ITEMS SYMB_MAP_ITEMS

where

parse_basic_spec Modal = Just $ basicSpec modal_reserved_words

parse_symb_items Modal = Just $ symbItems modal_reserved_words

parse_symb_map_items Modal = Just $ symbMapItems modal_reserved_words

-- Modal logic

map_M_FORMULA :: MapSen M_FORMULA ModalSign ()

map_M_FORMULA mor (BoxOrDiamond b m f ps) =

let newM = case m of

Simple_mod _ -> m

Term_mod t -> let newT = mapTerm map_M_FORMULA mor t

in Term_mod newT

newF = mapSen map_M_FORMULA mor f

in BoxOrDiamond b newM newF ps

instance Sentences Modal ModalFORMULA () MSign ModalMor Symbol where

map_sen Modal m = return . mapSen map_M_FORMULA m

parse_sentence Modal = Nothing

sym_of Modal = symOf

symmap_of Modal = morphismToSymbMap

sym_name Modal = symName

provers Modal = []

cons_checkers Modal = []

simplify_sen Modal = simplifySen minExpForm simModal

-- simplifySen for ExtFORMULA

simModal :: Sign M_FORMULA ModalSign -> M_FORMULA -> M_FORMULA

simModal sign (BoxOrDiamond b md form pos) =

let mod' = case md of

Term_mod term -> Term_mod $ rmTypesT minExpForm

simModal sign term

t -> t

in BoxOrDiamond b mod'

(simplifySen minExpForm simModal sign form) pos

rmTypesExt :: a -> b -> b

rmTypesExt _ f = f

instance StaticAnalysis Modal M_BASIC_SPEC ModalFORMULA ()

SYMB_ITEMS SYMB_MAP_ITEMS

MSign

ModalMor

Symbol RawSymbol where

basic_analysis Modal = Just $ basicModalAnalysis

stat_symb_map_items Modal = statSymbMapItems

stat_symb_items Modal = statSymbItems

ensures_amalgamability Modal _ =

fail "Modal: ensures_amalgamability nyi" -- ???

sign_to_basic_spec Modal _sigma _sens = Basic_spec [] -- ???

symbol_to_raw Modal = symbolToRaw

id_to_raw Modal = idToRaw

matches Modal = CASL.Morphism.matches

empty_signature Modal = emptySign emptyModalSign

signature_union Modal sigma1 sigma2 =

return $ addSig addModalSign sigma1 sigma2

morphism_union Modal = morphismUnion (const id) addModalSign

final_union Modal = finalUnion addModalSign

is_subsig Modal = isSubSig isSubModalSign

inclusion Modal = sigInclusion dummy isSubModalSign

cogenerated_sign Modal = cogeneratedSign dummy

generated_sign Modal = generatedSign dummy

induced_from_morphism Modal = inducedFromMorphism dummy

induced_from_to_morphism Modal =

inducedFromToMorphism dummy isSubModalSign

theory_to_taxonomy Modal = convTaxo

instance Logic Modal ()

M_BASIC_SPEC ModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS

MSign

ModalMor

Symbol RawSymbol () where

stability _ = Unstable