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Categorical Abstract Algebraic Logic: (ℐ,N)-Algebraic Systems

✍ Scribed by George Voutsadakis

Publisher
Springer
Year
2005
Tongue
English
Weight
271 KB
Volume
13
Category
Article
ISSN
0927-2852

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## Abstract Czelakowski introduced the Suszko operator as a basis for the development of a hierarchy of non‐protoalgebraic logics, paralleling the well‐known abstract algebraic hierarchy of protoalgebraic logics based on the Leibniz operator of Blok and Pigozzi. The scope of the theory of the Leibn

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## Abstract The notion of an __ℐ__ ‐matrix as a model of a given __π__ ‐institution __ℐ__ is introduced. The main difference from the approach followed so far in Categorical Abstract Algebraic Logic (CAAL) and the one adopted here is that an __ℐ__ ‐matrix is considered modulo the entire class of mo

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✍ George Voutsadakis 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB

## Abstract Equivalent deductive systems were introduced in [4] with the goal of treating 1‐deductive systems and algebraic 2‐deductive systems in a uniform way. Results of [3], appropriately translated and strengthened, show that two deductive systems over the same language type are equivalent if