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| Combinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in... Symbolic Logic - The Original Classic Edition
Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and... This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on...
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on... Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of...
Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on... Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for...
The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious... This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first...
Kurt Godel (1906-1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics,... This book presents a unifying framework for using priority arguments to prove theorems in computability. Priority arguments provide the...
The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious... This is a classic introduction to set theory in three parts. The first part gives a general introduction to set theory, suitable for...
Sheaf theory provides a means of discussing many different kinds of geometric objects in respect of the connection between their local... Recursion theory - now a well-established branch of pure mathematics, having grown rapidly over the last 35 years - deals with the...
Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of... The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H....
In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In... The concepts of a locally presentable category and an accessible category have turned out to be useful in formulating connections between...
Category theory and related topics of mathematics have been increasingly applied to computer science in recent years. This book contains... The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical...
Linear logic, introduced in 1986 by J.-Y. Girard, is based upon a fine grain analysis of the main proof-theoretical notions of logic. The... In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence...
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