Mathematical logic

This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan's work on self-reference.

In this digital era, a smart city can become an intelligent society by using advances in emerging technologies.

Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

With one exception, these papers are original and fullyrefereed research articles on various applications ofCategory Theory to Algebraic Topology, Logic and ComputerScience.

The work of which this is an English translation appeared originally in French as Precis de logique mathematique.

Problem solving is the very area of articifical intelligence AI which, probably, will never result in a complete set of formalized theories, in a pragmatic philosphy, or in a "e;universal"e; applied discipline.

In 1907 Luitzen Egbertus Jan Brouwer defended his doctoral dissertation on the foundations of mathematics and with this event the modem version of mathematical intuitionism came into being.

This book delves into finite mathematics and its application in physics, particularly quantum theory.

The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory.

This is the first logically precise, computationally implementable, book-length account of rational belief revision.

In distributed, open systems like cyberspace, where the behavior of autonomous agents is uncertain and can affect other agents' welfare, trust management is used to allow agents to determine what to expect about the behavior of other agents.

This book synthesizes the author's work (1980s-2015) on the logical expressive power of natural language.

The problem of probability interpretation was long overlooked before exploding in the 20th century, when the frequentist and subjectivist schools formalized two conflicting conceptions of probability.

This book is dedicated to the life and work of logician Janusz Czelakowski on the topic of logical consequence.

The first edition of this award-winning book attracted a wide audience.

The goal of this unique text is to provide an "e;experience"e; that would facilitate a better transition for mathematics majors to the advanced proof-based courses required for their major.

Kurt Godel (1906-1978) shook the mathematical world in 1931 by a result that has become an icon of 20th century science: The search for rigour in proving mathematical theorems had led to the formalization of mathematical proofs, to the extent that such proving could be reduced to the application of a few mechanical rules.

This book offers an inspiring and naive view on language and reasoning.

The main aim of this book is to provide a compact self-contained presentation of the forcing technique devised by Cohen to establish the independence of the continuum hypothesis from the axioms of set theory.

Infinite Words is an important theory in both Mathematics and Computer Sciences.

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 '60s.

This groundbreaking, yet accessible book explores the interaction between graph theory and computational complexity using methods from finite model theory.

A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics.

The present book aims to provide systematic and reliable techniques, called the global solution, for Sudoku puzzles.

This revised edition of the highly recommended book "e;First-Order Modal Logic"e;, originally published in 1998, contains both new and modified chapters reflecting the latest scientific developments.

This book presents chapters exploring the most recent developments in the role of technology in proving.

This book constitutes the post-conference proceedings of the 17th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2024, colocated with ETAPS 2024, held in Luxembourg in April 2024.

This book creates a conceptual schema that acts as a correlation between Epistemology and Epistemic Logic.

This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs.

Model theory, a major branch of mathematical logic, plays a key role connecting logic and other areas of mathematics such as algebra, geometry, analysis, and combinatorics.

This monograph is a defence of the Fregean take on logic.

Science involves descriptions of the world we live in.

Substructural logics are by now one of the most prominent branches of the research field usually labelled as "e;nonclassical logics"e; - and perhaps of logic tout court.

L.

In distributed, open systems like cyberspace, where the behavior of autonomous agents is uncertain and can affect other agents' welfare, trust management is used to allow agents to determine what to expect about the behavior of other agents.

This book clearly introduces the major topics in logic and their relation to current philosophical issues.

Logic is of course a general resource for reasoning at large.

In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures.

This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011.

This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics.

This book constitutes the proceedings of the 6th International Workshop on Formal Methods Teaching, FMTea 2024, which was held in Milan, Italy, on September 10, 2024.

Authoritative and comprehensive account; an essential handbook for all those working in the area.

Originally published in 1931.

Die in diesem Band zusammengefassten Beitrage stellen die wesentlichen Forschungsergebnisse der internationalen Munchner Konferenz "e;100 Jahre Russell-Paradoxon"e; im Jahr 2001 dar, auf der an die Entdeckung des beruhmten Russell Paradoxons vor 100 Jahren erinnert wurde.

This book constitutes the refereed proceedings of the 41st IFIP WG 6.