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Categorical Abstract Algebraic Logic: Algebraizable Institutions

机译:分类抽象代数逻辑:可代数机构

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摘要

The framework developed by Blok and Pigozzi for the algebraizability of deductive systems is extended to cover the algebraizability of multisignature logics with quantifiers. Institutions are used as the supporting structure in plasce of deductive systems. In particular, the concept of an algebraic institution and that of an algebraizable institution are made precise using the theory of monads from categorical algebra and the notion of equivalence of institutions introduced by Voutadakis. Several examples of algebraic and algebraizable institutions are provided.
机译:由Blok和Pigozzi开发的用于演绎系统的可代数性的框架已扩展到涵盖了带有量词的多重签名逻辑的可代数性。在演绎系统中,制度被用作支撑结构。尤其是,使用分类代数的单子理论和Voutadakis引入的机构对等概念来精确定义代数机构和可代数机构的概念。提供了代数和可代数机构的几个示例。

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