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Quantified propositional Goedel logics | | Matthias Baaz
; Agata Ciabattoni
; Richard Zach
; | | Date: |
17 Jun 2000 | | Journal: | Michel 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 | | Subject: | Logic MSC-class: 03B50; 03B55 | math.LO | | Abstract: | It 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. | | Source: | arXiv, math.LO/0006122 | | Services: | Forum | Review | PDF | Favorites | |
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