{- |

Module : ./ExtModal/Logic_ExtModal.hs

Description : Instance of class Logic for ExtModal

Copyright :

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

Maintainer : codruta.liliana@gmail.com

Stability : experimental

Portability :

Instance of class Logic for ExtModal

-}

module ExtModal.Logic_ExtModal where

import ExtModal.AS_ExtModal

import ExtModal.ExtModalSign

import ExtModal.ATC_ExtModal()

import ExtModal.Parse_AS

import ExtModal.Print_AS

import ExtModal.StatAna

import ExtModal.MorphismExtension

import CASL.Formula

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.Sublogic

import CASL.SimplifySen

import CASL.Taxonomy

import CASL.Logic_CASL ()

import Logic.Logic

import qualified Data.Map as Map

data ExtModal = ExtModal deriving Show

instance Language ExtModal where

description _ = unlines

[ "ExtModal is the 'extended modal logic' extension of CASL. "

, "Syntax for ordinary modalities, multi-modal logic, dynamic "

, "logic, graded modal logic, hybrid logic, CTL* and mu-calculus "

, "is provided. Specific modal logics can be optained via "

, "restrictions to sublanguages."

]

type ExtModalSign = Sign EM_FORMULA EModalSign

type ExtModalMorph = Morphism EM_FORMULA EModalSign MorphExtension

type ExtModalFORMULA = FORMULA EM_FORMULA

instance SignExtension EModalSign where

isSubSignExtension = isSubEModalSign

instance Syntax ExtModal EM_BASIC_SPEC SYMB_ITEMS SYMB_MAP_ITEMS where

parse_basic_spec ExtModal = Just $ basicSpec ext_modal_reserved_words

parse_symb_items ExtModal = Just $ symbItems ext_modal_reserved_words

parse_symb_map_items ExtModal = Just $ symbMapItems ext_modal_reserved_words

-- Modal formula mapping via signature morphism

map_EM_FORMULA :: MapSen EM_FORMULA EModalSign MorphExtension

map_EM_FORMULA morph (BoxOrDiamond choice t_m leq_geq number f pos) =

let new_tm tm = case tm of

Simple_modality sm ->

let mds = mod_map (extended_map morph) in

if Map.member sm mds then Simple_modality (mds Map.! sm) else tm

Composition tm1 tm2 -> Composition (new_tm tm1) (new_tm tm2)

Union tm1 tm2 -> Union (new_tm tm1) (new_tm tm2)

TransitiveClosure tm1 -> TransitiveClosure (new_tm tm1)

Guard frm -> Guard (mapSen map_EM_FORMULA morph frm)

new_f = mapSen map_EM_FORMULA morph f

in BoxOrDiamond choice (new_tm t_m) leq_geq number new_f pos

map_EM_FORMULA morph (Hybrid choice nm f pos) =

let new_nom = case nm of

Nominal nom -> let nms = nom_map (extended_map morph)

in if Map.member nom nms then (Nominal (nms Map.! nom)) else nm

_ -> nm

new_f = mapSen map_EM_FORMULA morph f

in Hybrid choice new_nom new_f pos

map_EM_FORMULA morph (UntilSince choice f1 f2 pos) =

let new_f1 = mapSen map_EM_FORMULA morph f1

new_f2 = mapSen map_EM_FORMULA morph f2

in UntilSince choice new_f1 new_f2 pos

map_EM_FORMULA morph (NextY choice f pos) =

let new_f = mapSen map_EM_FORMULA morph f

in NextY choice new_f pos

map_EM_FORMULA morph (PathQuantification choice f pos) =

let new_f = mapSen map_EM_FORMULA morph f

in PathQuantification choice new_f pos

map_EM_FORMULA morph (StateQuantification t_dir choice f pos) =

let new_f = mapSen map_EM_FORMULA morph f

in StateQuantification t_dir choice new_f pos

map_EM_FORMULA morph (FixedPoint choice p_var f pos) =

let new_f = mapSen map_EM_FORMULA morph f

in FixedPoint choice p_var new_f pos

-- Simplification of formulas - simplifySen for ExtFORMULA

simEMSen :: Sign EM_FORMULA EModalSign -> EM_FORMULA -> EM_FORMULA

simEMSen sign (BoxOrDiamond choice tm leq_geq number f pos) =

BoxOrDiamond choice tm leq_geq number (simplifySen frmTypeAna simEMSen sign f) pos

simEMSen sign (Hybrid choice nom f pos) =

Hybrid choice nom (simplifySen frmTypeAna simEMSen sign f) pos

simEMSen sign (UntilSince choice f1 f2 pos) =

UntilSince choice (simplifySen frmTypeAna simEMSen sign f1)

(simplifySen frmTypeAna simEMSen sign f1) pos

simEMSen sign (NextY choice f pos) =

NextY choice (simplifySen frmTypeAna simEMSen sign f) pos

simEMSen sign (PathQuantification choice f pos) =

PathQuantification choice (simplifySen frmTypeAna simEMSen sign f) pos

simEMSen sign (StateQuantification t_dir choice f pos) =

StateQuantification t_dir choice (simplifySen frmTypeAna simEMSen sign f) pos

simEMSen sign (FixedPoint choice p_var f pos) =

FixedPoint choice p_var (simplifySen frmTypeAna simEMSen sign f) pos

instance Sentences ExtModal ExtModalFORMULA ExtModalSign ExtModalMorph Symbol where

map_sen ExtModal morph = return . mapSen map_EM_FORMULA morph

simplify_sen ExtModal = simplifySen frmTypeAna simEMSen

parse_sentence ExtModal = Just $ primFormula ext_modal_reserved_words

print_sign ExtModal sig = printSign

(printEModalSign $ simplifySen frmTypeAna simEMSen sig) sig

sym_of ExtModal = symOf

symmap_of ExtModal = morphismToSymbMap

sym_name ExtModal = symName

instance StaticAnalysis ExtModal EM_BASIC_SPEC ExtModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS

ExtModalSign ExtModalMorph Symbol RawSymbol where

basic_analysis ExtModal = Just basicEModalAnalysis

stat_symb_map_items ExtModal = statSymbMapItems

stat_symb_items ExtModal = statSymbItems

symbol_to_raw ExtModal = symbolToRaw

id_to_raw ExtModal = idToRaw

matches ExtModal = CASL.Morphism.matches

empty_signature ExtModal = emptySign emptyEModalSign

signature_union ExtModal sgn = return . addSig addEModalSign sgn

intersection ExtModal sgn = return . interSig interEModalSign sgn

final_union ExtModal = finalUnion addEModalSign

morphism_union ExtModal = morphismUnion (const id) addEModalSign

is_subsig ExtModal = isSubSig isSubEModalSign

subsig_inclusion ExtModal = sigInclusion emptyMorphExtension

generated_sign ExtModal = generatedSign emptyMorphExtension

cogenerated_sign ExtModal = cogeneratedSign emptyMorphExtension

induced_from_morphism ExtModal = inducedFromMorphism emptyMorphExtension

induced_from_to_morphism ExtModal =

inducedFromToMorphism emptyMorphExtension isSubEModalSign diffEModalSign

theory_to_taxonomy ExtModal = convTaxo

instance Logic ExtModal () EM_BASIC_SPEC ExtModalFORMULA SYMB_ITEMS SYMB_MAP_ITEMS

ExtModalSign ExtModalMorph Symbol RawSymbol () where

stability _ = Experimental

empty_proof_tree _ = ()