A Class of Implicative Expansions of Kleene’s Strong Logic, a Subclass of Which Is Shown Functionally Complete Via the Precompleteness of Łukasiewicz’s 3-Valued Logic Ł3
[EN] The present paper is a sequel to Robles et al. (J Logic Lang Inf 29(3):349–374, 2020. https://doi.org/10.1007/s10849-019-09306-2). A class of implicative expansions of Kleene’s 3-valued logic functionally including Lukasiewicz’s logic L3 is defined. Several properties of this class and/or some...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad de León |
| Repositorio: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/25664 |
| Acesso em linha: | https://link.springer.com/article/10.1007/s10849-021-09336-9 https://hdl.handle.net/10612/25664 |
| Access Level: | acceso abierto |
| Palavra-chave: | Lógica 3-valued logic Kleene’s strong 3-valued logic Lukasiewicz’s 3-valued logic Functional completeness Variable-sharing property Natural conditionals |
| Resumo: | [EN] The present paper is a sequel to Robles et al. (J Logic Lang Inf 29(3):349–374, 2020. https://doi.org/10.1007/s10849-019-09306-2). A class of implicative expansions of Kleene’s 3-valued logic functionally including Lukasiewicz’s logic L3 is defined. Several properties of this class and/or some of its subclasses are investigated. Properties contemplated include functional completeness for the 3-element set of truth-values, presence of natural conditionals, variable-sharing property (vsp) and vsp-related properties |
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