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Improvements in Formula Generalization

Aderhold, Markus (2007)
Improvements in Formula Generalization.
21st International Conference on Automated Deduction. Bremen (17.07.2007-20.07.2007)
doi: 10.1007/978-3-540-73595-3_16
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

For proofs by induction it is often necessary to generalize statements to strengthen the induction hypotheses. This paper presents improved heuristics to generalize away subterms, unnecessary conditions and function symbols in a formula. This resolves shortcomings that we encountered within an experimental evaluation of generalization heuristics from the literature. Our generalization method has been implemented in the verification tool xx eriFun . An evaluation with examples from the literature as well as several case studies of our own demonstrates the success of our development.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2007
Autor(en): Aderhold, Markus
Art des Eintrags: Bibliographie
Titel: Improvements in Formula Generalization
Sprache: Englisch
Publikationsjahr: 2007
Ort: Berlin
Verlag: Springer
Buchtitel: Automated Deduction: CADE-21
Reihe: Lecture notes in computer science
Band einer Reihe: 4603
Veranstaltungstitel: 21st International Conference on Automated Deduction
Veranstaltungsort: Bremen
Veranstaltungsdatum: 17.07.2007-20.07.2007
DOI: 10.1007/978-3-540-73595-3_16
Kurzbeschreibung (Abstract):

For proofs by induction it is often necessary to generalize statements to strengthen the induction hypotheses. This paper presents improved heuristics to generalize away subterms, unnecessary conditions and function symbols in a formula. This resolves shortcomings that we encountered within an experimental evaluation of generalization heuristics from the literature. Our generalization method has been implemented in the verification tool xx eriFun . An evaluation with examples from the literature as well as several case studies of our own demonstrates the success of our development.

Fachbereich(e)/-gebiet(e): 20 Fachbereich Informatik
Hinterlegungsdatum: 20 Nov 2008 08:24
Letzte Änderung: 04 Dez 2024 11:27
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