Algebraic Logic by Hajnal Andreka, I. Nemeti, I. Sain
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About this book :-
Algebraic Logic by Hajnal Andréka, István Németi, and Ildikó Sain explores the deep connections between logic and algebra, focusing especially on translating logical systems (like first-order logic) into algebraic structures such as relation and cylindric algebras.
Algebraic logic can be divided into two main parts. Part I studies algebras which are relevant to logic(s). Since Part I studies algebras, its methods are, basically, algebraic. One could say that Part I belongs to ‘Algebra Country’. Continuing this metaphor, Part II deals with studying and building the bridge between Algebra Country and Logic Country. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem (this really belongs to Part I), and (iii) translating the result back to logic. There is an emphasis here on step (iii), because without such a methodological emphasis one could be tempted to play the ‘enjoyable games’ (i) and (ii), and then forget about the ‘boring duty’ of (iii). Of course, this bridge can also be used backwards, to solve algebraic problems with logical methods. We will give some simple examples for this in the present work.
Book Detail :-
This book has following details information.
Title:
Algebraic Logic by Hajnal Andreka, I. Nemeti, I. Sain by NA
Publisher:
Hajnal Andréka
Series:
eBookDirectory
Year:
2003
Pages:
129
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
Country:
Pakistan
License:
N\A
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Part-I Algebras of relations Getting acquainted with the subject
1. Algebras of binary relations
2. Algebras of relations in general
3. Algebras for logics without identity
Part-II Bridge between logic and algebra: Abstract Algebraic Logic Introduction
4. General framework for studying logics
5. The process of algebraization
6. Equivalence theorems
7. Examples and application
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