Hets - the Heterogeneous Tool Set

Copyright(c) Jonathan von Schroeder DFKI GmbH 2010
LicenseGPLv2 or higher, see LICENSE.txt
Maintainerjonathan.von_schroeder@dfki.de
Stabilityexperimental
Portabilitynon-portable (imports Logic.Logic)
Safe HaskellNone

QBF.Logic_QBF

Contents

Description

Instance of class Logic for the propositional logic extended with QBFs Also the instances for Syntax and Category.

Ref.

http://en.wikipedia.org/wiki/Propositional_logic

Till Mossakowski, Joseph Goguen, Razvan Diaconescu, Andrzej Tarlecki. What is a Logic?. In Jean-Yves Beziau (Ed.), Logica Universalis, pp. 113-133. Birkhaeuser. 2005.

http://www.voronkov.com/lics.cgi

Synopsis

Documentation

data QBF Source #

Lid for propositional logic

Constructors

QBF 

Instances

Show QBF Source # 

Methods

showsPrec :: Int -> QBF -> ShowS

show :: QBF -> String

showList :: [QBF] -> ShowS

Language QBF Source # 

Methods

language_name :: QBF -> String Source #

description :: QBF -> String Source #

Sentences QBF FORMULA Sign Morphism Symbol Source #

Instance of Sentences for propositional logic

Syntax QBF BASICSPEC Symbol SYMBITEMS SYMBMAPITEMS Source #

Syntax of Propositional logic

StaticAnalysis QBF BASICSPEC FORMULA SYMBITEMS SYMBMAPITEMS Sign Morphism Symbol Symbol Source #

Static Analysis for propositional logic

Methods

basic_analysis :: QBF -> Maybe ((BASICSPEC, Sign, GlobalAnnos) -> Result (BASICSPEC, ExtSign Sign Symbol, [Named FORMULA])) Source #

sen_analysis :: QBF -> Maybe ((BASICSPEC, Sign, FORMULA) -> Result FORMULA) Source #

extBasicAnalysis :: QBF -> IRI -> LibName -> BASICSPEC -> Sign -> GlobalAnnos -> Result (BASICSPEC, ExtSign Sign Symbol, [Named FORMULA]) Source #

stat_symb_map_items :: QBF -> Sign -> Maybe Sign -> [SYMBMAPITEMS] -> Result (EndoMap Symbol) Source #

stat_symb_items :: QBF -> Sign -> [SYMBITEMS] -> Result [Symbol] Source #

convertTheory :: QBF -> Maybe ((Sign, [Named FORMULA]) -> BASICSPEC) Source #

ensures_amalgamability :: QBF -> ([CASLAmalgOpt], Gr Sign (Int, Morphism), [(Int, Morphism)], Gr String String) -> Result Amalgamates Source #

quotient_term_algebra :: QBF -> Morphism -> [Named FORMULA] -> Result (Sign, [Named FORMULA]) Source #

signature_colimit :: QBF -> Gr Sign (Int, Morphism) -> Result (Sign, Map Int Morphism) Source #

qualify :: QBF -> SIMPLE_ID -> LibName -> Morphism -> Sign -> Result (Morphism, [Named FORMULA]) Source #

symbol_to_raw :: QBF -> Symbol -> Symbol Source #

id_to_raw :: QBF -> Id -> Symbol Source #

matches :: QBF -> Symbol -> Symbol -> Bool Source #

empty_signature :: QBF -> Sign Source #

add_symb_to_sign :: QBF -> Sign -> Symbol -> Result Sign Source #

signature_union :: QBF -> Sign -> Sign -> Result Sign Source #

signatureDiff :: QBF -> Sign -> Sign -> Result Sign Source #

intersection :: QBF -> Sign -> Sign -> Result Sign Source #

final_union :: QBF -> Sign -> Sign -> Result Sign Source #

morphism_union :: QBF -> Morphism -> Morphism -> Result Morphism Source #

is_subsig :: QBF -> Sign -> Sign -> Bool Source #

subsig_inclusion :: QBF -> Sign -> Sign -> Result Morphism Source #

generated_sign :: QBF -> Set Symbol -> Sign -> Result Morphism Source #

cogenerated_sign :: QBF -> Set Symbol -> Sign -> Result Morphism Source #

induced_from_morphism :: QBF -> EndoMap Symbol -> Sign -> Result Morphism Source #

induced_from_to_morphism :: QBF -> EndoMap Symbol -> ExtSign Sign Symbol -> ExtSign Sign Symbol -> Result Morphism Source #

is_transportable :: QBF -> Morphism -> Bool Source #

is_injective :: QBF -> Morphism -> Bool Source #

theory_to_taxonomy :: QBF -> TaxoGraphKind -> MMiSSOntology -> Sign -> [Named FORMULA] -> Result MMiSSOntology Source #

corresp2th :: QBF -> String -> Bool -> Sign -> Sign -> [SYMBITEMS] -> [SYMBITEMS] -> EndoMap Symbol -> EndoMap Symbol -> REL_REF -> Result (Sign, [Named FORMULA], Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source #

equiv2cospan :: QBF -> Sign -> Sign -> [SYMBITEMS] -> [SYMBITEMS] -> Result (Sign, Sign, Sign, EndoMap Symbol, EndoMap Symbol) Source #

extract_module :: QBF -> [IRI] -> (Sign, [Named FORMULA]) -> Result (Sign, [Named FORMULA]) Source #

Logic QBF QBFSL BASICSPEC FORMULA SYMBITEMS SYMBMAPITEMS Sign Morphism Symbol Symbol ProofTree Source #

Instance of Logic for propositional logc

Methods

parse_basic_sen :: QBF -> Maybe (BASICSPEC -> AParser st FORMULA) Source #

stability :: QBF -> Stability Source #

data_logic :: QBF -> Maybe AnyLogic Source #

top_sublogic :: QBF -> QBFSL Source #

all_sublogics :: QBF -> [QBFSL] Source #

bottomSublogic :: QBF -> Maybe QBFSL Source #

sublogicDimensions :: QBF -> [[QBFSL]] Source #

parseSublogic :: QBF -> String -> Maybe QBFSL Source #

proj_sublogic_epsilon :: QBF -> QBFSL -> Sign -> Morphism Source #

provers :: QBF -> [Prover Sign FORMULA Morphism QBFSL ProofTree] Source #

default_prover :: QBF -> String Source #

cons_checkers :: QBF -> [ConsChecker Sign FORMULA QBFSL Morphism ProofTree] Source #

conservativityCheck :: QBF -> [ConservativityChecker Sign FORMULA Morphism] Source #

empty_proof_tree :: QBF -> ProofTree Source #

syntaxTable :: QBF -> Sign -> Maybe SyntaxTable Source #

omdoc_metatheory :: QBF -> Maybe OMCD Source #

export_symToOmdoc :: QBF -> NameMap Symbol -> Symbol -> String -> Result TCElement Source #

export_senToOmdoc :: QBF -> NameMap Symbol -> FORMULA -> Result TCorOMElement Source #

export_theoryToOmdoc :: QBF -> SigMap Symbol -> Sign -> [Named FORMULA] -> Result [TCElement] Source #

omdocToSym :: QBF -> SigMapI Symbol -> TCElement -> String -> Result Symbol Source #

omdocToSen :: QBF -> SigMapI Symbol -> TCElement -> String -> Result (Maybe (Named FORMULA)) Source #

addOMadtToTheory :: QBF -> SigMapI Symbol -> (Sign, [Named FORMULA]) -> [[OmdADT]] -> Result (Sign, [Named FORMULA]) Source #

addOmdocToTheory :: QBF -> SigMapI Symbol -> (Sign, [Named FORMULA]) -> [TCElement] -> Result (Sign, [Named FORMULA]) Source #

Comorphism Prop2QBF Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree QBF QBFSL BASICSPEC FORMULA SYMBITEMS SYMBMAPITEMS Sign Morphism Symbol Symbol ProofTree Source # 
Comorphism QBF2Prop QBF QBFSL BASICSPEC FORMULA SYMBITEMS SYMBMAPITEMS Sign Morphism Symbol Symbol ProofTree Propositional PropSL BASIC_SPEC FORMULA SYMB_ITEMS SYMB_MAP_ITEMS Sign Morphism Symbol Symbol ProofTree Source # 

Orphan instances

Monoid BASICSPEC Source # 
SublogicName QBFSL Source # 

Methods

sublogicName :: QBFSL -> String Source #

SemiLatticeWithTop QBFSL Source #

Sublogics

Methods

lub :: QBFSL -> QBFSL -> QBFSL Source #

top :: QBFSL Source #

ProjectSublogicM QBFSL SYMBMAPITEMS Source # 
ProjectSublogicM QBFSL SYMBITEMS Source # 
ProjectSublogicM QBFSL FORMULA Source # 
ProjectSublogicM QBFSL Symbol Source # 

Methods

projectSublogicM :: QBFSL -> Symbol -> Maybe Symbol Source #

ProjectSublogic QBFSL Sign Source # 
ProjectSublogic QBFSL BASICSPEC Source # 
ProjectSublogic QBFSL Morphism Source # 
MinSublogic QBFSL Sign Source # 
MinSublogic QBFSL SYMBMAPITEMS Source # 
MinSublogic QBFSL SYMBITEMS Source # 
MinSublogic QBFSL FORMULA Source # 
MinSublogic QBFSL BASICSPEC Source # 
MinSublogic QBFSL Morphism Source # 
MinSublogic QBFSL Symbol Source # 
Category Sign Morphism Source #

Instance of Category for propositional logic