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Categorical Abstract Algebraic Logic: Ordered Equational Logic and Algebraizable PoVarieties

✍ Scribed by George Voutsadakis

Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
529 KB
Volume
23
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES

Categorical abstract algebraic logic: Th
Categorical abstract algebraic logic: The categorical Suszko operator
✍ George Voutsadakis πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 229 KB

## 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

Categorical Abstract Algebraic Logic: St
Categorical Abstract Algebraic Logic: Structurality, protoalgebraicity, and correspondence
✍ George Voutsadakis πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 191 KB

## Abstract The notion of an __ℐ__ ‐matrix as a model of a given __Ο€__ ‐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

Categorical abstract algebraic logic: Th
Categorical abstract algebraic logic: The criterion for deductive equivalence
✍ George Voutsadakis πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 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