Quantified propositional Goedel logics

dc.creatorBaaz, Matthias
dc.creatorCiabattoni, Agata
dc.creatorZach, Richard
dc.date2000-06-17
dc.date2000-10-03
dc.date.accessioned2026-07-07T04:35:55Z
dc.date.available2026-07-07T04:35:55Z
dc.descriptionIt is shown that G-up, the quantified propositional Goedel-Dummett logic based on the truth-values set V-up = {1 - 1/n : n >= 1} u {1}, is decidable. This result is obtained by reduction to Buechi's theory S1S. An alternative proof based on elimination of quantifiers is also given, which yields both an axiomatization and a characterization of G-up as the intersection of all finite-valued quantified propositional Goedel logics.
dc.descriptionv.2: 17 pages, revised published version (v.1: 15 pages)
dc.identifierhttps://arxiv.org/abs/math/0006122
dc.identifierhttp://arxiv.org/abs/math/0006122
dc.identifierMichel Parigot, Andrei Voronkov (Eds.): Logic for Programming and Automated Reasoning. 7th International Conference, LPAR 2000, Reunion Island, France, November 11-12, 2000. Lecture Notes in Computer Science, Vol. 1955, Springer, 2000. pp. 240-256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59422
dc.subjectLogic
dc.subject03B50; 03B55
dc.titleQuantified propositional Goedel logics
dc.typetext

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