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Suitable for undergraduate students of computer science and mathematics, this title gives a proof of Godel's completeness theorem and its main consequences using Robinson's completeness theorem and Godel's compactness theorem for propositional logic.

Senza richiedere prerequisiti il testo si propone di fornire una dimostrazione dei fondamentali teoremi della logica matematica (compattezza, completezza di Godel, Lowenheim-Skolem) introducendo i concetti sintattici e semantici in modo progressivo, dalla logica booleana a quella predicativa. Per facilitare la lettura attiva, il testo contiene numerosi esercizi."

The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang's MV -algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prere- quisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology. In this book it is not our aim to give an account of Lukasiewicz's motivations for adding new truth values: readers interested in this topic will find appropriate references in Chapter 10....

This books presents the refereed proceedings of the Fifth International Workshop on Analytic Tableaux and Related Methods, TABLEAUX '96, held in Terrasini near Palermo, Italy, in May 1996.
The 18 full revised papers included together with two invited papers present state-of-the-art results in this dynamic area of research. Besides more traditional aspects of tableaux reasoning, the collection also contains several papers dealing with other approaches to automated reasoning. The spectrum of logics dealt with covers several nonclassical logics, including modal, intuitionistic, many-valued,...