Loop-Detection in Hyper-Tableaux by Powerful Model Generation

dc.creatorStolzenburg,Frieder
dc.date1999
dc.date.accessioned2024-02-06T12:49:57Z
dc.date.available2024-02-06T12:49:57Z
dc.descriptionAutomated reasoning systems often suffer from redundancy: similar parts of derivations are repeated again and again. This leads us to the problem of loop-detection, which clearly is undecidable in general. Nevertheless, we tackle this problem by extending the hyper-tableau calculus as proposed in [Baumgartner, 1998] by generalized terms with exponents, that can be computed by means of computer algebra systems. Although the proposed loop-detection rule is incomplete, the overall calculus remains complete, because loop-detection is only used as an additional, optional mechanism. In summary, this work combines approaches from tableau-based theorem proving, model generation, and integrates computer algebra systems in the theorem proving process.
dc.formattext/html
dc.identifierhttps://doi.org/10.3217/jucs-005-03-0135
dc.identifierhttps://lib.jucs.org/article/27543/
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/7532
dc.languageen
dc.publisherJournal of Universal Computer Science
dc.relationinfo:eu-repo/semantics/altIdentifier/eissn/0948-6968
dc.relationinfo:eu-repo/semantics/altIdentifier/pissn/0948-695X
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsJ.UCS License
dc.sourceJUCS - Journal of Universal Computer Science 5(3): 135-155
dc.subjecthyper-tableau
dc.subjectloop-detection
dc.subjectterms with exponents
dc.subjectcomputer algebra systems
dc.subjectmodel generation.
dc.titleLoop-Detection in Hyper-Tableaux by Powerful Model Generation
dc.typeResearch Article
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