Mathematical logic Books

This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer...

The aim of this book is to reflect the substantial re- search done in Artificial Intelligence on sorts and types. The main contributions come from knowledge representation and theorem proving and important impulses come from...

This collection documents the work of the Hyperuniverse Project which is a new approach to set-theoretic truth based on justifiable principles and which leads to the resolution of many questions independent from ZFC. The contributions give an overview...

This book deals with the problem of finding suitable languages that can represent specific classes of Petri nets, the most studied and widely accepted model for distributed systems. Hence, the contribution of this book amounts to the alphabetization of...

This collection of prize-winning essays addresses the controversial question of how meaning and goals can emerge in a physical world governed by mathematical laws. What are the prerequisites for a system to have goals? What makes a physical process into...

An Introduction to Fuzzy Logic Applications in Intelligent Systems consists of a collection of chapters written by leading experts in the field of fuzzy sets. Each chapter addresses an area where fuzzy sets have been applied...

Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes...

Approximate reasoning is a key motivation in fuzzy sets and possibility theory. This volume provides a coherent view of this field, and its impact on database research and information retrieval. First, the semantic ...

Driven by the request for increased productivity, flexibility, and competitiveness, modern civilization increasingly has created high-performance discrete event dynamic systems (DEDSs). These systems exhibit concurrent,...

also in: THE KLUWER INTERNATIONAL SERIES ON ASIAN STUDIES IN COMPUTER AND INFORMATION SCIENCE, Volume 1

The analysis and control of complex systems have been the main motivation for the emergence of fuzzy set theory since its inception. It is also a major research field where many applications, especially industrial ones, have...

Originally published in 1962. A clear and simple account of the growth and structure of Mathematical Logic, no earlier knowledge of logic being required. After outlining the four lines of thought that have been its roots - the logic of Aristotle, the...

Originally published in 1973. This book is directed to the student of philosophy whose background in mathematics is very limited. The author strikes a balance between material of a philosophical and a formal kind, and does this in a way that will bring...

Originally published in 1962. This book gives an account of the concepts and methods of a basic part of logic. In chapter I elementary ideas, including those of truth-functional argument and truth-functional validity, are explained. Chapter II begins...

The IfColog Journal of Logics and their Applications covers all areas of pure and applied logic, broadly construed. This Journal is open access, and available in both printed and electronic formats. It is published by College Publications, on behalf of...

The IfColog Journal of Logics and their Applications covers all areas of pure and applied logic, broadly construed. This Journal is open access, and available in both printed and electronic formats. It is published by College Publications, on behalf of...

"The importance of questions is beyond doubt. But the degree of attention paid to them in logic and linguistics is still less than they deserve."(from the Preface)What is a question? How to represent questions in formal languages? How to model reasoning...

The publication of the seminal special issue on nonmonotonic logics bythe Artificial Intelligence Journal in 1980 resulted in a new area ofresearch in knowledge representation and changed the mainstream paradigmof logic that originated in antiquity. It...

We look at problems of truth and knowledge from various angles. Insufficient information may prevent the direct use of certain operations, as the use of probability in legal reasoning, so we have to take detours. We may have only contradictory...

The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This...

This book regards Dung's abstract argumentation frames as a general network, comparable to other networks such as general logics neural-nets, ecology nets, electrical networks, flow networks and so on. As such the book imports general meta-logical...

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2010, Hejnice, the Czech Republic. the articles range over mathematical and philosophical logic, history and philosophy of logic,...

Preface. Dirac Operators and Clifford Geometry - New Unifying Principles in Particle Physics; Th. Ackermann. On the Hayman Uniqueness Problem for Polyharmonic Functions; M.B. Balk, M.Ya. Mazalov. Left-Linear and Nonlinear Riemann Problems in Clifford...

Preface. Introduction. Part A: Algebraic Foundations of Non-Classical Logics. I. alpha-Complete MV-algebras; L.P. Belluce. II. On MV-algebras of continuous functions; A. Di Nola, S. Sessa. III. Free and projective Heyting and monadic Heyting...

Poland has played an enormous role in the development of mathematical logic. Leading Polish logicians, like Lesniewski, Lukasiewicz and Tarski, produced several works related to philosophical logic, a field covering...

The thirty-one papers collected in this volume represent most of the arti­ cles that I have published in the philosophy of science and related founda­ tional areas of science since 1970. The present volume is a natural succes­...

The author provides an introduction to automated reasoning, and in particular to resolution theorem proving using the prover OTTER. He presents a new clausal version of von Neumann-Bernays-Gödel set theory, and lists over...

This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. First, this volume is an extended account of the eleventh Seminar of 1989. Second, and more...

Operations Research is a field whose major contribution has been to propose a rigorous fonnulation of often ill-defmed problems pertaining to the organization or the design of large scale systems, such as resource allocation...

Research in mathematics is much more than solving puzzles, most people will agree that solving puzzles is not just fun, it helps focus the mind. This book makes the connection explicit by isolating important mathematical methods, then using them to...

Properties of Numbers.- Sets and Data Structures.- Boolean Algebras and Circuits.- Relations and Functions.- The Theory of Counting.- Probability.- Graph Theory.- Matrices.- Number Theory and Cryptography.- The Theory of Voting.- Solutions to Practic...

Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in...

Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and...

This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of...

Quantifiers: Logics, Models and Computation is the first concentrated effort to give a systematic presentation of the main research results on the subject, since the modern concept was formulated in the late '50s and early...

The encounter, in the late seventies, between the theory of triangular norms, issuing frorn stochastic geornetry, especially the works of Menger, Schweizer and Sklar, on the one band, and the theory of fuzzy sets due to Zadeh,...

Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy. On the other hand, this period also...

In decision theory there are basically two appr~hes to the modeling of individual choice: one is based on an absolute representation of preferences leading to a ntDnerical expression of preference intensity. This is utility...

This volume contains a selection of papers presented at a Seminar on Intensional Logic held at the University of Amsterdam during the period September 1990-May 1991. Modal logic, either as a topic or as a tool, is common to...

This volume contains the accounts of papers delivered at the Nato Advanced Study Institute on Finite and Infinite Combinatorics in Sets and Logic held at the Banff Centre, Alberta, Canada from April 21 to May 4, 1991. As the...

In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures...

Intelligent decision support is based on human knowledge related to a specific part of a real or abstract world. When the knowledge is gained by experience, it is induced from empirical data. The data structure, called an...

Fuzzy data such as marks, scores, verbal evaluations, imprecise observations, experts' opinions and grey tone pictures, are quite common. In Fuzzy Data Analysis the authors collect their recent results providing the reader...

Preface. I. Computational Structures and Computability on Them. II. Combinatory Spaces. III. Computability in Iterative Combinatory Spaces. Appendix: A Survey of Examples of Combinatory Spaces. References. Additional Bibliography. Index of Names...

To-date computers are supposed to store and exploit knowledge. At least that is one of the aims of research fields such as Artificial Intelligence and Information Systems. However, the problem is to understand what knowledge...

"Intuition" has perhaps been the least understood and the most abused term in philosophy. It is often the term used when one has no plausible explanation for the source of a given belief or opinion. According to some sceptics,...

This book seeks the unity in this diversity by asking what properties a structure should have to qualify it to be a logic. It does not provide a complete atlas of the logic manifold but prepounds a principle which, though it makes neither the crooked...