Mathematical logic

Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable.

Mathematical Logic: An Introduction is a textbook that uses mathematical tools to investigate mathematics itself.

In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems.

Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric.

A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics.

Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms.

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

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2010 and 2011 Asian Initiative for Infinity Logic Summer Schools.

This volume provides a forum which highlights new achievements and overviews of recent developments of the thriving logic groups in the Asia-Pacific region.

Raymond Smullyan presents a bombshell puzzle so startling that it seems incredible that there could be any solution at all!

This is an exciting if not rambling account of events of Raymond Smullyan's four lives - as a mathematical logician, musician, magician, and author - together with thoughts that come to his mind as he recalls them.

The book is a research monograph on the notions of truth and assertibility as they relate to the foundations of mathematics.

This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years.

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative for Infinity Logic Summer School.

Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists.

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 book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory.

The proceedings publishes research results on the following disciplines: philosophy and epistemology, history and philosophy of science, mathematics, logic and computer science, social sciences, linguistics, cognitive sciences, artificial intelligence, general systems and operational research.

The geometry of almost complex structures is fundamentally concerned with complex analysis and also mathematical physics.

This book reports the recent results obtained by Italian researchers in fuzzy logic.

With increasing demands for high precision autonomous control over wide operating envelopes, conventional control engineering approaches are unable to adequately deal with system complexity, nonlinearities, spatial and temporal parameter variations, and with uncertainty.

The book presents the theory of latticed shells as continual systems and describes its applications.

The book is devoted to the questions of the long-time behavior of solutions for evolution equations, connected with kinetic models in statistical physics.

In this mathematical autobiography, Gregory Chaitin presents a technical survey of his work and a nontechnical discussion of its significance.

This book provides a concise and modern introduction to Formal Languages and Machine Computation, a group of disparate topics in the theory of computation, which includes formal languages, automata theory, turing machines, computability, complexity, number-theoretic computation, public-key cryptography, and some new models of computation, such as quantum and biological computation.

Cellular automata provide one of the most interesting avenues into the study of complex systems in general, as well as having an intrinsic interest of their own.

This book is the first of a series of technical reports of a key research project of the Real-World Computing Program supported by the MITI of Japan.

This book is devoted to an analysis of the way that structures must enter into a serious study of any subject, and the term "e;structuralism"e; refers to the general method of approaching a subject from the viewpoint of structure.

This book is about "e;diamond"e;, a logic of paradox.

Mathematical logic is essentially related to computer science.

This volume collects written versions of invited and contributed talks presented at the conference.

This book introduces the reader to the general theory of partially ordered sets, i.

The author selects 23 of his papers in mathematical logic that pursue definability via priority, forcing, compactness and fine structure applied to classical recursion, hyperarithmetic sets, recursion in objects of finite type, measure, models and E-recursion.

This book is about "e;delta"e;, a paradox logic.

This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.

Although there are some books dealing with algebraic theory of automata, their contents consist mainly of Krohn-Rhodes theory and related topics.

This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence.

This invaluable book is a collection of 31 important - both in ideas and results - papers published by mathematical logicians in the 20th Century.

There are many uncertainties in the real world.

This volume gathers lectures by 8 distinguished pioneers of automata theory, including two Turing Award winners.

Advances in Modal Logic is a unique forum for presenting the latest results and new directions of research in modal logic.

The 7th and the 8th Asian Logic Conferences belong to the series of logic conferences inaugurated in Singapore in 1981.

This volume is a translation of the book Godel, written in Japanese by Gaisi Takeuti, a distinguished proof theorist.

Reductionism is one of those philosophical myths that are either enthusiastically embraced or wholeheartedly rejected.

This volume is devoted to the main areas of mathematical logic and applications to computer science.

This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005.

The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices.

The present monograph on matrix partial orders, the first on this topic, makes a unique presentation of many partial orders on matrices that have fascinated mathematicians for their beauty and applied scientists for their wide-ranging application potential.

This book is about "e;diamond"e;, a logic of paradox.