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Proofs.Proofs Portability non-portable(Logic) Stability provisional Maintainer hets@tzi.de

Description

Proofs in development graphs.

Synopsis

type ProofStatus = (GlobalContext, [([DGRule], [DGChange])], DGraph) data DGRule = TheoremHideShift | HideTheoremShift | Borrowing | ConsShift | DefShift | MonoShift | ConsComp | DefComp | MonoComp | DefToMono | MonoToCons | FreeIsMono | MonoIsFree | Composition | GlobDecomp (LEdge DGLinkLab) | LocDecomp (LEdge DGLinkLab) | GlobSubsumption (LEdge DGLinkLab) | LocalInference | BasicInference Edge BasicProof | BasicConsInference Edge BasicConsProof data DGChange = InsertNode (LNode DGNodeLab) | DeleteNode Node | InsertEdge (LEdge DGLinkLab) | DeleteEdge (LEdge DGLinkLab) data BasicProof = forall lid sublogics basic_spec sentence symb_items symb_map_items sign morphism symbol raw_symbol proof_tree . Logic lid sublogics basic_spec sentence symb_items symb_map_items sign morphism symbol raw_symbol proof_tree => BasicProof lid (Proof_status sentence proof_tree) | Guessed | Conjectured | Handwritten data BasicConsProof = BasicConsProof applyRule :: DGRule -> DGraph -> Maybe ([DGChange], DGraph) globDecomp :: ProofStatus -> ProofStatus globDecompAux :: DGraph -> [LEdge DGLinkLab] -> ([DGRule], [DGChange]) -> (DGraph, ([DGRule], [DGChange])) globDecompForOneEdge :: DGraph -> LEdge DGLinkLab -> (DGraph, [DGChange]) globDecompForOneEdgeAux :: DGraph -> LEdge DGLinkLab -> [DGChange] -> [(Node, [LEdge DGLinkLab])] -> (DGraph, [DGChange]) globSubsume :: ProofStatus -> ProofStatus globSubsumeAux :: DGraph -> ([DGRule], [DGChange]) -> [LEdge DGLinkLab] -> (DGraph, ([DGRule], [DGChange])) getLabelOfEdge :: LEdge b -> b locDecomp :: ProofStatus -> ProofStatus locDecompAux :: DGraph -> ([DGRule], [DGChange]) -> [LEdge DGLinkLab] -> (DGraph, ([DGRule], [DGChange])) getAllGlobPathsOfMorphismBetween :: DGraph -> GMorphism -> Node -> Node -> [[LEdge DGLinkLab]] filterPathsByMorphism :: GMorphism -> [[LEdge DGLinkLab]] -> [[LEdge DGLinkLab]] getAllLocGlobDefPathsTo :: DGraph -> Node -> [LEdge DGLinkLab] -> [(Node, [LEdge DGLinkLab])] getAllGlobPathsBetween :: DGraph -> Node -> Node -> [[LEdge DGLinkLab]] getAllThmDefPathsOfMorphismBetween :: DGraph -> GMorphism -> Node -> Node -> [[LEdge DGLinkLab]] getAllGlobDefPathsBetween :: DGraph -> Node -> Node -> [[LEdge DGLinkLab]] getAllPathsOfTypeBetween :: DGraph -> (LEdge DGLinkLab -> Bool) -> Node -> Node -> [[LEdge DGLinkLab]] getAllPathsOfTypesBetween :: DGraph -> [LEdge DGLinkLab -> Bool] -> Node -> Node -> [LEdge DGLinkLab] -> [[LEdge DGLinkLab]] filterByTypes :: [LEdge DGLinkLab -> Bool] -> [LEdge DGLinkLab] -> [LEdge DGLinkLab] calculateMorphismOfPath :: [LEdge DGLinkLab] -> Maybe GMorphism getSourceNode :: LEdge DGLinkLab -> Node isProven :: LEdge DGLinkLab -> Bool isGlobalThm :: LEdge DGLinkLab -> Bool isProvenGlobalThm :: LEdge DGLinkLab -> Bool isUnprovenGlobalThm :: LEdge DGLinkLab -> Bool isProvenLocalThm :: LEdge DGLinkLab -> Bool isUnprovenLocalThm :: LEdge DGLinkLab -> Bool isGlobalDef :: LEdge DGLinkLab -> Bool isLocalDef :: LEdge DGLinkLab -> Bool getLabelOfAnyInsertedEdge :: [DGChange] -> Maybe DGLinkLab getInsertedEdges :: [DGChange] -> [LEdge DGLinkLab] selectProofBasis :: DGLinkLab -> [[LEdge DGLinkLab]] -> [DGLinkLab] selectProofBasisAux :: DGLinkLab -> [[LEdge DGLinkLab]] -> [DGLinkLab] calculateProofBasis :: [LEdge DGLinkLab] -> [DGLinkLab] getProofBasis :: DGLinkLab -> [DGLinkLab] filterProvenPaths :: [[LEdge DGLinkLab]] -> [[LEdge DGLinkLab]] notProofCycle :: DGLinkLab -> [LEdge DGLinkLab] -> Bool isProofCycle :: DGLinkLab -> [LEdge DGLinkLab] -> Bool elemOfProofBasis :: DGLinkLab -> LEdge DGLinkLab -> Bool

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