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A Tableau System for Quasi-Hybrid Logic

机译:拟混合逻辑的Tableau系统

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Hybrid logic is a valuable tool for specifying relational structures, at the same time that allows defining accessibility relations between states, it provides a way to nominate and make mention to what happens at each specific state. However, due to the many sources nowadays available, we may need to deal with contradictory information. This is the reason why we came with the idea of Quasi-hybrid logic, which is a paraconsistent version of hybrid logic capable of dealing with inconsistencies in the information, written as hybrid formulas. In [5] we have already developed a semantics for this paraconsistent logic. In this paper we go a step forward, namely we study its prooftheoretical aspects. We present a complete tableau system for Quasihybrid logic, by combining both tableaux for Quasi-classical and Hybrid logics.
机译:混合逻辑是一个有价值的工具,用于指定关系结构,同时允许定义状态之间的可访问性关系,它提供了一种提名方法,并提及每个特定状态发生的事情。但是,由于现在可用的许多来源,我们可能需要处理矛盾的信息。这就是我们伴随了准混杂逻辑的想法的原因,这是混合逻辑的滞后版本,其能够在信息中处理不一致,写成混合公式。在[5]中,我们已经开发了这种滞后逻辑的语义。在本文中,我们向前迈进,即我们研究其校对的理论方面。我们通过组合用于准经典和混合逻辑的Tableaux来为QuasihyBrid逻辑提供完整的Tableau系统。

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