Mathematical logic Books

Hugh MacColl (1837-1909) fut un mathématicien et logicien qui passa les premières années de sa vie en Écosse. Après quelques années de travail en différents lieux de Grande-Bretagne, il s'installa à Boulogne-sur-Mer (France), où il développa la majeure...

Hugh MacColl (1837-1909) was a mathematician and logician who was born, raised and educated in Scotland and after a few years working in different areas of Great Britain moved to Boulogne-sur-Mer (France), where he developed the greater part of his work...

Modal logic is one of the most widely applied logical formalisms. Systems ofmodal logic are being used in many disciplines, ranging from artificialintelligence, computer science, mathematics, formal grammar and semantics tophilosophy. This volume...

This book collects most of the invited papers presented at the 12thInternational Congress of Logic, Methodology and Philosophy of Sciencein Oviedo, August 2003. It contains state of the art accounts of ongoingwork by a selection of the most renowned...

Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of...

Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of...

This comprehensive volume features the proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence and the International Workshop on Logic, AI and Law, held in Hangzhou, China on September 8-9 and 11-12, 2023. The...

We are happy to present the first volume of the Handbook of Defeasible Reasoning and Uncertainty Management Systems. Uncertainty pervades the real world and must therefore be addressed by every system that attempts to represent...

The present monograph intends to establish a solid link among three fields: fuzzy set theory, information retrieval, and cluster analysis. Fuzzy set theory supplies new concepts and methods for the other two fields, and...

This collection of papers has its origin in a conference held at the Uni­ versity of Toronto in June of 1988. The theme of the conference was Physicalism in Mathematics: Recent Work in the Philosophy of Math­ ematics. At the...

It took many decades for Peirce's coneept of a relation to find its way into the microelectronic innards of control systems of eement kilns, subway trains, and tunnel-digging machinery. But what is amazing is that the more we...

Review(s)...recommend this book to the applied community as a valuable source of practical examples of parametric excitations, treated in a modern fashion. - Mathematical Reviews; [Cartmell] has successfully presented the usually complicated and...

Although it is critical in today's world that students who take automata theory and logic courses retain what they have learned and understand how to use their knowledge, many textbooks typically emphasize automata theory only,...

“Michael Olinick has written a vibrant and absorbing biography of Alan Turing. Turing's work as a cryptographer during WW II and his pioneering development of the digital computer helped us win that war and make our technology-driven world of...

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...

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...

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 is an introduction to the logic of partitions on a set as well as the (quantum) logic of partitions (direct-sum decompositions or DSDs) on a vector space. Partitions of a set are categorically dual to subsets of a set. Thus the logic of...

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

The concept of measuring inconsistency in information was developed by John Grant in a 1978 paper in the context of first-order logic. For more than 20 years very little was done in this area until in the early 2000s a number of AI researchers started to...

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...

O Prolog é uma linguagem de programação, mas uma linguagem pouco usual. A designação "Prolog'' é abreviatura de "Programming with Logic'' e a relação com a lógica é o que dá ao Prolog o seu perfil especial. No seu âmago está uma ideia surpreendente: não...

Long ago, when Alexander the Great asked the mathematician Menaechmus for a crash course in geometry, he got the famous reply ``There is no royal road to mathematics.’’ Where there was no shortcut for Alexander, there is no shortcut for us. Still, the...

The structure of Moore Penrose rings are analyzed with precise pristine logic by examining the detailed pulchritude of these prolific algebraic systems in the engineering and physical science disciplines. The early portion of this literary exposition...

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as...

This is an overview of the current state of knowledge along with open problems and perspectives, clarified in such fields as non-standard inferences in description logics, logic of provability, logical dynamics and...

This detailed textbook presents a great deal of material on ordered sets not previously published in the still rather limited textbook literature. It should be suitable as a text for a course on order theory.

This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to...

The book will synthesize and integrate better what are often disparate ideas, themes, and methods across substantive areas of white-collar crime and criminology and criminal justice. The book also puts together critical and...

This series of books presents the fundamentals of logic in a style accessible to both students and scholars. The text of each essay presents a story, the main line of development of the ideas, while the notes and appendices place the research within a...

This monograph is an investigation into certain new logical structures implicit in the formalism of quantum mechanics.Its message rests on two pillars. The first pillar is the dynamic view of propositions. Propositions are viewed as acting on states of...

Russell's paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can...

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

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the...

Les arguments qui intègrent des énoncés intentionnels et fictionnels défient les loisde la logique classique en remettant en cause la validité de principes comme lagénéralisation existentielle ou la substitution des identiques. A l'interface...

This text, volume II of a two-volume work, examines in depth the so-called “standard” predicate logic. Including a foundational lexicon of terms and a detour through the classical propositional logic, this volume can be used...

The objective of the present work is to develop a theory of meaning based on the method of transcendental phenomenology. The key idea of the project is to explain the constitution of the meaning by means of the analyses of the intentionality. We have...

This Volume 70 of the Studies in Logic series contains the Proceedings of the Internatioanl interdisciplinary conference Philosophy, Mathematics, Linguistics: Apsects of Interaction 2012 held on May 22-25, 2012 at the Euler International Mathematical...

Outline of the Laws of Thought is a classic text of formal logic that has been influential in the development of mathematical and philosophical thinking. It provides a clear and systematic exposition of the principles of deduction, inference, and proof,...

Preface. Part I: Approximate Reasoning and Fuzzy Logic. 1. Fuzzy Logic Acquisition in Expert; A. Averkin. 2. Fuzzy Local Inference in Fuzzy Knowledge Basis; H. Bandemer. 3. Fuzzy Sets in Approximate Reasoning; D. Dubois. 4. SAK -- an Expert System...

The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is...

This updated printing of the first edition of Colorado Mathematical Olympiad: the First Twenty Years and Further Explorations gives the interesting history of the competition as well as an outline of all the problems and solutions that have been created...

The theory of constructive (recursive) models follows from works of Froehlich, Shepherdson, Mal'tsev, Kuznetsov, Rabin, and Vaught in the 50s. Within the framework of this theory, algorithmic properties of abstract models...

This is the only monograph devoted to the expressibility of finitely axiomatizable theories, a classical subject in mathematical logic. The volume summarizes investigations in the field that have led to much of the current...