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The modern theory of algebras of binary relations, reformulated by Tarski as an abstract, algebraic, equational theory of relation algebras, has consi...Savoir plus
Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy andlanguage in ancient...Savoir plus
The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated s...Savoir plus
The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi...Savoir plus
Aimed at starting researchers in the field, Realizability gives a rigorous, yet reasonable introduction to the basic concepts of a field which has pas...Savoir plus
Relation algebras are algebras arising from the study of binary relations.They form a part of the field of algebraic logic, and have applications in p...Savoir plus
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be...Savoir plus
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in...Savoir plus
Volume II of Classical Recursion Theory describes the universe from a local (bottom-upor synthetical) point of view, and covers the whole spectrum, fr...Savoir plus
Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative...Savoir plus
This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of ...Savoir plus
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is bot...Savoir plus
This English translation of the author's original work has been thoroughly revised, expanded and updated. The book covers logical systems known as typ...Savoir plus
The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated wit...Savoir plus
This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. ...Savoir plus
This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on compl...Savoir plus
Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations ...Savoir plus
This monograph began life as a series of papers documenting five years of research into the logical foundations of Categorial Grammar, a grammatical p...Savoir plus
This book treats modal logic as a theory, with several subtheories, such as completeness theory, correspondence theory, duality theory and transfer th...Savoir plus
These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathema...Savoir plus
The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is fo...Savoir plus