International audienceThis paper describes two algorithms for the compression of propositional resolution proofs. The first algorithm performs partial regularization, removing an inference $\eta$ when it is redundant in the sense that its pivot literal already occurs as the pivot of another inference located below in the path from $\eta$ to the root of the proof. The second algorithm delays the resolution of (both input and derived) unit clauses, thus removing (some) inferences having the same pivot but possibly occurring also in different branches of the proof
Nach der Definition einer Verallgemeinerung des Herbrandschen Theorems für Sequente, beschreiben wir drei schon existierende Algorithmen für die Extraktion eines Herbrandsequents aus formalen Beweisen, die im Sequentialkalkül LK geschrieben sind. Darüber hinaus verbessern wir diese drei Algorithmen und entwicklen daraus einen vierten Algorithmus, welcher deren Ideen vereinigt und generalisiert. Dieser Algorithmus wurde dann realisiert und in das CERes (Cut-Elimination by Resolution) Projekt integriert. Die Wichtigkeit der Extraktion von Herbrandsequenten liegt darin, dass Herbrandsequente die Kreativität der Beweise enthält.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.