๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Categorical Abstract Algebraic Logic: Leibniz Equality and Homomorphism Theorems

โœ Scribed by George Voutsadakis


Publisher
Springer
Year
2006
Tongue
English
Weight
614 KB
Volume
14
Category
Article
ISSN
0927-2852

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Categorical abstract algebraic logic: Th
โœ George Voutsadakis ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 229 KB

## Abstract Czelakowski introduced the Suszko operator as a basis for the development of a hierarchy of nonโ€protoalgebraic logics, paralleling the wellโ€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
โœ George Voutsadakis ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 191 KB

## Abstract The notion of an __โ„__ โ€matrix as a model of a given __ฯ€__ โ€institution __โ„__ 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 __โ„__ โ€matrix is considered modulo the entire class of mo

Categorical abstract algebraic logic: Th
โœ George Voutsadakis ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 112 KB

## Abstract Equivalent deductive systems were introduced in [4] with the goal of treating 1โ€deductive systems and algebraic 2โ€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

Categorical abstract algebraic logic: Th
โœ George Voutsadakis ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 242 KB

## Abstract The study of structure systems, an abstraction of the concept of firstโ€order structures, is continued. Structure systems have algebraic systems as their algebraic reducts and their relational component consists of a collection of relation systems on the underlying functors. An analog of

Categorical abstract algebraic logic: Ge
โœ George Voutsadakis ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 134 KB

Given a ฯ€-institution I, a hierarchy of ฯ€-institutions I (n) is constructed, for n โ‰ฅ 1. We call I (n) the n-th order counterpart of I. The second-order counterpart of a deductive ฯ€-institution is a Gentzen ฯ€-institution, i. e. a ฯ€-institution associated with a structural Gentzen system in a canonica