Kategoria BISAC: Mathematics >> Logic

Das Buch vermittelt logisches Grundwissen, fundamentale Beweisprinzipien, Methoden und Einsichten, welche jede Mathematikerin/jeder Mathematiker besitzen sollte. Folgenden Fragestellungen wird dabei nachgegangen: Was unterscheidet endliche von unendlichen Mengen? Wie lassen sich die ganzen, rationalen und reellen Zahlen aus den naturlichen Zahlen und letztere aus reinen Mengen konstruieren? Welche grundlegenden mengentheoretischen Konstruktionen werden hierfur und uberhaupt in der Mathematik gebraucht? Welche grundlegenden topologischen Eigenschaften besitzt die Menge der reellen Zahlen?...

This volume constitutes the thoroughly refereed post-workshop proceedings of the 5th International Workshop on Fuzzy Logic and Applications held in Naples, Italy, in October 2003.

The 40 revised full papers presented have gone through two rounds of reviewing and revision. All current issues of theoretical, experimental and applied fuzzy logic and related techniques are addressed with special attention to rough set theory, neural networks, genetic algorithms and soft computing. The papers are organized in topical section on fuzzy sets and systems, fuzzy control, neuro-fuzzy systems,...

The refereed proceedings of the 6th International Conference on Typed Lambda Calculi and Applications, TLCA 2003, held in Valencia, Spain in June 2003.

The 21 revised full papers presented were carefully reviewed and selected from 40 submissions. The volume reports research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to the application of proof assistants.

A spatial logic is a formal language interpreted over any class of structures featuring geometrical entities and relations, broadly construed. In the past decade, spatial logics have attracted much attention in response to developments in such diverse fields as Artificial Intelligence, Database Theory, Physics, and Philosophy. The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic,...

Natural duality theory is one of the major growth areas within general algebra. This text provides a short path to the forefront of research in duality theory. It presents a coherent approach to new results in the area, as well as exposing open problems.

Unary algebras play a special role throughout the text. Individual unary algebras are relatively simple and easy to work with. But as a class they have a rich and complex entanglement with dualisability. This combination of local simplicity and global complexity ensures that, for the study of natural duality theory, unary algebras...