On rational weak Nilpotent Minimum logics
In this paper we investigate extensions of Gödel and Nilpotent Minimum logics by adding rational truth-values as truth constants in the language and by adding corresponding book-keeping axioms for the truth-constants. We also investigate the rational extensions of some parametric families of Weak Ni...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/160968 |
| Acesso em linha: | http://hdl.handle.net/10261/160968 |
| Access Level: | acceso abierto |
| Palavra-chave: | Rational Pavelka logic Gödel logic Rational weak nilpotent minimum logic Rational Gödel logic Weak nilpotent minimum |
| Resumo: | In this paper we investigate extensions of Gödel and Nilpotent Minimum logics by adding rational truth-values as truth constants in the language and by adding corresponding book-keeping axioms for the truth-constants. We also investigate the rational extensions of some parametric families of Weak Nilpotent Minimum logics, weaker than both Gödel and Nilpotent Minimum logics. Weak and strong standard completeness of these logics are studied in general and in particular when we restrict ourselves to formulas of the kind r̄ → φ, where r is a rational in [0, 1] and φ is a formula without rational truth-constants. © 2006 Old City Publishing, Inc. |
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