by H. Andreka, I. Nemeti, I. Sain
Number of pages: 129
Part I of the book studies algebras which are relevant to logic, e.g. algebras which were obtained from logics. Part II deals with the methodology of solving logic problems by (i) translating them to algebra (the process of algebraization), (ii) solving the algebraic problem, and (iii) translating the result back to logic.
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by Gary Hardegree - UMass Amherst
Contents: Summary; Translations in Function Logic; Derivations in Function Logic; Translations in Identity Logic; Extra Material on Identity Logic; Derivations in Identity Logic; Translations in Description Logic; Derivations in Description Logic.
This book provides a survey of mathematical logic and its various applications. After covering basic material of propositional logic and first-order logic, the course presents the foundations of finite model theory and descriptive complexity.
by Nick Bezhanishvili, Dick de Jongh - Universiteit van Amsterdam
In this course we give an introduction to intuitionistic logic. We concentrate on the propositional calculus mostly, make some minor excursions to the predicate calculus and to the use of intuitionistic logic in intuitionistic formal systems.
by Stephen G. Simpson - Pennsylvania State University
Lecture notes for all mathematics graduate students. The text covers propositional calculus, predicate calculus, proof systems, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.