Mathematical logic Books

Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. The first part discusses the historical...

also in: THE KLUWER INTERNATIONAL SERIES ON ASIAN STUDIES IN COMPUTER AND INFORMATION SCIENCE, Volume 2

Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's...

Illustrations of Logic is a book written by Paul Theodore Lafleur and published in 1899. This book is a comprehensive guide to the study of logic, providing readers with a detailed understanding of the principles and methods of logical reasoning. The...

Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This...

In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com  for more information. This introduction to mathematical logic starts with propositional calculus and...

Der Situationskalkul (1851) von Hermann Scheffler ist ein Buch, das sich mit der mathematischen Theorie der Situationen befasst. Der Autor beschreibt darin eine Methode zur Analyse von Situationen, die auf der formalen Logik basiert. Scheffler untersucht...

Challenge the pride and intellects of minds young and old! These are the 10 most perfect, confounding, unsolvable riddles in the world; are you up to the challenge? Enjoy a full day with your favorite coffee mug on the couch or on the go while trying to...

The study of the connections between mathematical automata and for­ mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior...

This book is the first in a series of three volumes that comprehensively examine Mario Pieri's life, mathematical work and influence. The book introduces readers to Pieri's career and his studies in foundations, from both...

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Do you like to use your spare moments indulging in puzzles? This collection is a real treat for anyone who loves Sudoku. Are you ready to rise to the ultimate brain-training challenge?Packed into a paperback sized book, Sudoku - 400...

Specification and Verification of Multi-agent Systems presents a coherent treatment of the area of formal specification and verification of agent-based systems with a special focus on verification of multi-agent programs. This edited volume includes...

This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world.  The papers range from historical considerations to new...

Angesichts der Komplexität der Produkte der modernen Informatik wird eine saubere, theoretische Fundierung immer wichtiger. Das Buch wendet sich an Studierende im ersten Studienabschnitt und an Praktiker und gibt eine ...

This two-volume set LNAI 12166 and 12167 constitutes the refereed proceedings of the 10th International Joint Conference on Automated Reasoning, IJCAR 2020, held in Paris, France, in July 2020.* In 2020, IJCAR was a merger of the following leading...

Philosophie der Mathematik wird in diesem Buch verstanden als ein Bemühen um die Klärung solcher Fragen, die die Mathematik selber aufwirft, aber mit ihren eigenen Methoden nicht beantworten kann. Dazu gehören beispielsweise die Fragen nach dem...

The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer's logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus,...

This book presents an English translation of a classic Russian text on duality theoryfor Heyting algebras. Written by Georgian mathematician Leo Esakia, the text provedpopular among Russian-speaking logicians. This translation helps make the...

This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple,...

Tbilisi Mathematical Journal (TMJ) is a fully refereed international journal, publishing original research papers in all areas of mathematics. Papers should satisfy the high standards and only works of high quality will be recommended for publication...

Jan Woleński is known due to his works on epistemological aspects of logic and his systematization of semantic truth theory. He became the successor and the worthy continuer of prominent Polish logicians: Alfred Tarski and Kazimierz Ajdukiewicz. This...

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2016, Hejnice, the Czech Republic. The articles range over mathematical and philosophical logic, history and...

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...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereira's 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereira's...

Cet opus de la collection Cahiers de Logique et d'Epistémologie est une contribution à l'histoire de la presse mathématique et plus particulièrement des journaux qui marquèrent ou accompagnèrent son émergence dans l'Europe du 19ème siècle. Bien que...

The notion of complexity is an important contribution of logic to theoretical computer science and mathematics. This volume attempts to approach complexity in a holistic way, investigating mathematical properties of complexity...

This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since...

This is the first book on "phylogenetic supertrees", a recent, but controversial development for inferring evolutionary trees. Rather than analyze the combined primary character data directly, supertree construction proceeds by...

This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. It aims to show that fuzzy logic as a logic of imprecise (vague) propositions does have...

This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on'...

Cartesian Closed Categories of Effective Domains; G. Hamrin, V. Stoltenberg-Hansen. Algebraic Game Semantics: A Tutorial Introduction; S. Abramsky. Algebra of Networks; G. Stefanescu. Computability and Complexity from a Programming Perspective; N.D...

Das Buch ""Beispiele zur Logik aus der Mathematik und Physik: im Anschluss an F.A. Trendelenburgs Elementa Logices Aristoteleae (1889)"" von Paul Freyer ist eine Sammlung von Beispielen aus den Bereichen Mathematik und Physik, die zur Illustration von...

In this classic work of philosophy, Edward Tagart explores the nature of mathematical reasoning and its relationship to other forms of logic. Drawing on a wide range of examples, Tagart provides readers with a comprehensive guide to the principles of...

The theory of finite automata on finite stings, infinite strings, and trees has had a dis­ tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch...

This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical...

This book presents the general theory of categorical closure operators to­ gether with a number of examples, mostly drawn from topology and alge­ bra, which illustrate the general concepts in several concrete situations. It is...

Logic is, and should be, the core subject area of modern mathemat­ ics. The blueprint for twentieth century mathematical thought, thanks to Hilbert and Bourbaki, is the axiomatic development of the subject. As a result, logic...

In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig­ inated by Herbrand and developed in the case of standard first-order unifi­...

Equations occur in many computer applications, such as symbolic compu­ tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems...

As we stand at the precipice of the twenty first century the ability to capture and transmit copious amounts of information is clearly a defining feature of the human race. In order to increase the value of this vast supply of...

Fuzzy Control of Industrial Systems: Theory and Applications presents the basic theoretical framework of crisp and fuzzy set theory, relating these concepts to control engineering based on the analogy between the Laplace...

IN 1959 I lectured on Boolean algebras at the University of Chicago. A mimeographed version of the notes on which the lectures were based circulated for about two years; this volume contains those notes, corrected and revised...

An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which...

Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents...

This book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on...

This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra,...

The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. It is also viewed as a foundation of mathematics so that "to make a notion precise"...