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This edited collection bridges the foundations and practice of constructive mathematics and focuses on the contrast between the theoretical developmen...Savoir plus
Aimed at research logicians and mathematicians, this much-awaited monograph covers over forty years of work on relative classification theory for non-...Savoir plus
Formal logic, free from the ambiguities of natural languages, is especially suited for use in computing. In turn, model theory, which is concerned wit...Savoir plus
The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerou...Savoir plus
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic fra...Savoir plus
This book provides an incisive, basic introduction to many-valued logics and to the constructions that are "many-valued" at their origin. Using the ma...Savoir plus
This book clearly details the theory of groups of finite Morley rank--groups which arise in model theory and generalize the concept of algebraic group...Savoir plus
Change, Choice and Inference develops logical theories that are necessary both for the understanding of adaptable human reasoning and for the design o...Savoir plus
Topos theory provides an important setting and language for much of mathematical logic and set theory. This book presents a convenient and natural sol...Savoir plus
Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians...Savoir plus
Per Martin-Löf's work on the development of constructive type theory has had a tremendous impact on the fields of logic and the foundations of mathema...Savoir plus
The publication of Rasiowa and Sikorski's The Mathematics of Metamathematics (1970), Rasiowa's An Algebraic Approach to Non-Classical Logics (1974), a...Savoir plus
This book principally concerns the rapidly growing area of what might be termed "Logical Complexity Theory" the study of bounded arithmetic, propositi...Savoir plus
BL Indispensable reference for both the pure logician and the theoretical computer scientistThis long awaited book gives a thorough account of the mat...Savoir plus
Modern applications of logic in mathematics, computer science, and linguistics require combined systems composed of different types of logic working t...Savoir plus
This monograph is a follow up to the author's classic text Boolean-Valued Models and Independence Proofs in Set Theory , providing an exposition of so...Savoir plus
Increasing interest in set theory, particularly the possibility of a set of all sets ("universal set"), has been stimulated by its relevance to comput...Savoir plus
For a novice this book is a mathematically-oriented introduction to modal logic, the discipline within mathematical logic studying mathematical models...Savoir plus
This monograph is on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where ...Savoir plus
This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleten...Savoir plus
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develo...Savoir plus
This second edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory, ....Savoir plus
This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search including...Savoir plus
This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionisti...Savoir plus