{-# OPTIONS -cpp #-}

{- |

Module : $Header$

Description : Instance of class Logic for temporal logic

Copyright : (c) Klaus Hartke, Uni Bremen 2008

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

Maintainer : hartke@informatik.uni-bremen.de

Stability : experimental

Portability : non-portable (imports Logic.Logic)

Instance of class Logic for temporal logic

Also the instances for Syntax and Category.

-}

module Temporal.Logic_Temporal

(module Temporal.Logic_Temporal

, Sign

, Morphism

) where

import Logic.Logic

import Temporal.Sign as Sign

import Temporal.Morphism as Morphism

import qualified Temporal.Symbol as Symbol

import Temporal.AS_BASIC_Temporal as AS_BASIC

-- | Lid for termporal logic

data Temporal = Temporal deriving Show

-- | Instance of Language for temporal logic

instance Language Temporal

where

description Temporal = "Temporal logic"

-- | Instance of Category for temporal logic

instance Category

Sign.Sign

Morphism.Morphism

where

ide = Morphism.idMor -- Identity morphism

dom = Morphism.source -- Returns the domain of a morphism

cod = Morphism.target -- Returns the codomain of a morphism

legal_mor f = Morphism.isLegalMorphism f -- Tests if the morphism is ok

comp f g = Morphism.composeMor f g -- Composition of morphisms

-- | Instance of Sentences for temporal logic

instance Sentences Temporal

AS_BASIC.FORMULA

Sign.Sign

Morphism.Morphism

Symbol.Symbol

where

sym_of Temporal = Symbol.symOf -- Returns the set of symbols

symmap_of Temporal = Symbol.getSymbolMap -- Returns the symbol map

sym_name Temporal = Symbol.getSymbolName -- Returns the name of a symbol

map_sen Temporal = Morphism.mapSentence -- Translation of sentences along signature morphism

simplify_sen Temporal _ form = form -- There is nothing to leave out

-- | Syntax of Temporal logic

instance Syntax Temporal

AS_BASIC.BASIC_SPEC

()

()

where

parse_basic_spec Temporal = Nothing --Just Parse_AS.basicSpec

parse_symb_items _ = Nothing

parse_symb_map_items _ = Nothing

-- | Instance of Logic for propositional logc

instance Logic Temporal

() -- Sublogics

AS_BASIC.BASIC_SPEC -- basic_spec

AS_BASIC.FORMULA -- sentence

() -- symb_items

() -- symb_map_items

Sign.Sign -- sign

Morphism.Morphism -- morphism

Symbol.Symbol -- symbol

Symbol.Symbol -- raw_symbol

() -- proof_tree

where

stability Temporal = Experimental

top_sublogic Temporal = ()

all_sublogics Temporal = []

provers Temporal = []

cons_checkers Temporal = []

conservativityCheck Temporal = []

-- | Static Analysis for propositional logic

instance StaticAnalysis Temporal

AS_BASIC.BASIC_SPEC -- basic_spec

AS_BASIC.FORMULA -- sentence

() -- symb_items

() -- symb_map_items

Sign.Sign -- sign

Morphism.Morphism -- morphism

Symbol.Symbol -- symbol

Symbol.Symbol -- raw_symbol

where

basic_analysis Temporal = Nothing -- Just Analysis.basicTemporalAnalysis

empty_signature Temporal = Sign.emptySig

inclusion Temporal = Morphism.inclusionMap

signature_union Temporal = Sign.sigUnion

symbol_to_raw Temporal = Symbol.symbolToRaw

id_to_raw Temporal = Symbol.idToRaw

matches Temporal = Symbol.matches

stat_symb_items Temporal = undefined -- Analysis.mkStatSymbItems

stat_symb_map_items Temporal = undefined -- Analysis.mkStatSymbMapItem

induced_from_morphism Temporal = undefined -- Analysis.inducedFromMorphism

induced_from_to_morphism Temporal = undefined -- Analysis.inducedFromToMorphism

signature_colimit Temporal = undefined -- Analysis.signatureColimit

{-

import Common.ProofTree

import Common.Consistency

import ATC.ProofTree ()

import Logic.Logic

import Propositional.Sign as Sign

import Propositional.Morphism as Morphism

import qualified Propositional.AS_BASIC_Propositional as AS_BASIC

import qualified Propositional.ATC_Propositional()

import qualified Propositional.Symbol as Symbol

import qualified Propositional.Parse_AS_Basic as Parse_AS

import qualified Propositional.Analysis as Analysis

-- | Lid for temporal logic

data Temporal = Temporal deriving Show --lid

instance Language Temporal where

description _ =

"Temporal Logic"

-- beibehalten

-- | Instance of Category for propositional logic

instance Category Sign.Sign Morphism.Morphism where

-- Identity morhpism

ide = Morphism.idMor

-- Returns the domain of a morphism

dom = Morphism.source

-- Returns the codomain of a morphism

cod = Morphism.target

-- tests if the morphism is ok

legal_mor f = Morphism.isLegalMorphism f

-- composition of morphisms

comp f g = Morphism.composeMor f g

-- Symbol von Propositional uebernehmen

-- | Instance of Sentences for propositional logic

instance Sentences Temporal (StateFormula Id)

Sign.Sign Morphism.Morphism Symbol.Symbol where

-- returns the set of symbols

sym_of Temporal = Symbol.symOf

-- returns the symbol map

symmap_of Temporal = Symbol.getSymbolMap

-- returns the name of a symbol

sym_name Temporal = Symbol.getSymbolName

-- translation of sentences along signature morphism

map_sen Temporal = Morphism.mapSentence

-- there is nothing to leave out

simplify_sen Temporal _ form = form

-- BASIC_SPEC: von Propositional uebernehmen (abstrakte Syntax)

-- aber Formeln neu machen

-- | Syntax of Temporal logic

instance Syntax Temporal AS_BASIC.BASIC_SPEC () () where

-- hier den Parser einbinden

parse_basic_spec Temporal = Just Parse_AS.basicSpec

parse_symb_items _ = Nothing

parse_symb_map_items _ = Nothing

-- | Instance of Logic for propositional logc

instance Logic Temporal

-- erstmal (), spaeter Datentyp fuer Sublogiken

Sublogic.PropSL -- Sublogics

AS_BASIC.BASIC_SPEC -- basic_spec

AS_BASIC.FORMULA -- sentence

() -- symb_items

() -- symb_map_items

Sign.Sign -- sign

Morphism.Morphism -- morphism

Symbol.Symbol -- symbol

Symbol.Symbol -- raw_symbol

() -- proof_tree

where

stability Temporal = Experimental

top_sublogic Temporal = ()

all_sublogics Temporal = ()

-- supplied provers

provers Temporal = [] -- spaeter: nuSMV

cons_checkers Temporal = []

conservativityCheck Temporal = []

-- gro�teils uebernehmen

-- | Static Analysis for propositional logic

instance StaticAnalysis Temporal

AS_BASIC.BASIC_SPEC -- basic_spec

AS_BASIC.FORMULA -- sentence

AS_BASIC.SYMB_ITEMS -- symb_items

AS_BASIC.SYMB_MAP_ITEMS -- symb_map_items

Sign.Sign -- sign

Morphism.Morphism -- morphism

Symbol.Symbol -- symbol

Symbol.Symbol -- raw_symbol

where

basic_analysis Temporal =

Just $ Analysis.basicTemporalAnalysis

empty_signature Temporal = Sign.emptySig

inclusion Temporal = Morphism.inclusionMap

signature_union Temporal = Sign.sigUnion

symbol_to_raw Temporal = Symbol.symbolToRaw

id_to_raw Temporal = Symbol.idToRaw

matches Temporal = Symbol.matches

stat_symb_items Temporal = Analysis.mkStatSymbItems

stat_symb_map_items Temporal = Analysis.mkStatSymbMapItem

induced_from_morphism Temporal = Analysis.inducedFromMorphism

induced_from_to_morphism Temporal =

Analysis.inducedFromToMorphism

signature_colimit Temporal = Analysis.signatureColimit

-- | Sublogics

instance SemiLatticeWithTop Sublogic.PropSL where

join _ _ = ()

top = ()

-- alles durch Rueckgabewert () ersetzen

instance MinSublogic Sublogic.PropSL AS_BASIC.BASIC_SPEC where

minSublogic it = Sublogic.sl_basic_spec Sublogic.bottom it

instance MinSublogic Sublogic.PropSL Sign.Sign where

minSublogic si = Sublogic.sl_sig Sublogic.bottom si

instance SublogicName Sublogic.PropSL where

sublogicName = Sublogic.sublogics_name

instance MinSublogic Sublogic.PropSL AS_BASIC.FORMULA where

minSublogic frm = Sublogic.sl_form Sublogic.bottom frm

instance MinSublogic Sublogic.PropSL Symbol.Symbol where

minSublogic sym = Sublogic.sl_sym Sublogic.bottom sym

instance MinSublogic Sublogic.PropSL AS_BASIC.SYMB_ITEMS where

minSublogic symit = Sublogic.sl_symit Sublogic.bottom symit

instance MinSublogic Sublogic.PropSL Morphism.Morphism where

minSublogic symor = Sublogic.sl_mor Sublogic.bottom symor

instance MinSublogic Sublogic.PropSL AS_BASIC.SYMB_MAP_ITEMS where

minSublogic sm = Sublogic.sl_symmap Sublogic.bottom sm

instance ProjectSublogicM Sublogic.PropSL Symbol.Symbol where

projectSublogicM = Sublogic.prSymbolM

instance ProjectSublogic Sublogic.PropSL Sign.Sign where

projectSublogic = Sublogic.prSig

instance ProjectSublogic Sublogic.PropSL Morphism.Morphism where

projectSublogic = Sublogic.prMor

instance ProjectSublogicM Sublogic.PropSL AS_BASIC.SYMB_MAP_ITEMS where

projectSublogicM = Sublogic.prSymMapM

instance ProjectSublogicM Sublogic.PropSL AS_BASIC.SYMB_ITEMS where

projectSublogicM = Sublogic.prSymM

instance ProjectSublogic Sublogic.PropSL AS_BASIC.BASIC_SPEC where

projectSublogic = Sublogic.prBasicSpec

instance ProjectSublogicM Sublogic.PropSL AS_BASIC.FORMULA where

projectSublogicM = Sublogic.prFormulaM

-}