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DC Field | Value | Language |
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dc.contributor.author | Gil, Àngel J. | - |
dc.contributor.author | Rebagliato, Jordi | - |
dc.contributor.author | Verdú, B. (Buenaventura) | - |
dc.date.accessioned | 2020-03-05T15:02:53Z | - |
dc.date.available | 2020-03-05T15:02:53Z | - |
dc.date.issued | 1996 | - |
dc.identifier.uri | http://hdl.handle.net/2445/152101 | - |
dc.description | Preprint enviat per a la seva publicació en una revista científica: Journal of Applied Non-Classical Logics. 1999, vol. 9, issue 1, pp 9-36. [http://doi.org/10.1080/11663081.1999.10510956] | ca |
dc.description.abstract | In this paper we study consequence relations on the set of many sided sequents over a propositional language. We deal with the consequence relations axiomatized by the sequent calculi defined in [2] and associated with arbitrary finite algebras. These consequence relations are examples of what we call Gentzen systems. We define a semantics for these systems and prove a Strong Completeness Theorem, which is an extension of the Completeness Theorem for provable sequents stated in [2]. For the special case of the finite linear MV-algebras, the Strong Completeness Theorem was proved in [10], as a consequence of McNaughton's Theorem. The main tool to prove this result for arbitrary algebras is the deduction-detachment theorem for Gentzen systems. | ca |
dc.format.extent | 33 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.publisher | Universitat de Barcelona | ca |
dc.relation.isformatof | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 37.13] | - |
dc.relation.ispartofseries | Mathematics Preprint Series; 218 | ca |
dc.rights | (c) Àngel J. Gil, et al., 1996 | - |
dc.source | Preprints de Matemàtiques - Mathematics Preprint Series | - |
dc.subject.classification | Lògica matemàtica | - |
dc.subject.classification | Teoria de la prova | - |
dc.subject.other | Universitat de Barcelona. Institut de Matemàtica | - |
dc.title | A strong completeness theorem for the gentzen systems associated with finite algebras | ca |
dc.type | info:eu-repo/semantics/article | ca |
dc.type | info:eu-repo/semantics/submittedVersion | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N218.pdf | 1.75 MB | Adobe PDF | View/Open |
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