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This book contains 21 essays by leading authorities on aspects of contemporary logic, ranging from foundations of set theory to applications of logic in computing and in the theory of fields. In computer science and mathematics, this gap between foundations and applications is small, as illustrated by essays on the proof theory of non-classical logics, lambda calculus, relating logic programs to inductive definition, and definability in Lindenbaum algebras. Other chapters discuss how to apply model theory to field theory, complex geometry and groups, and how to recover from its automorphism group.
This collection investigates the bridge between abstract logical foundations and their practical implementation in modern mathematics and computer science. The volume features contributions from twenty-one leading authorities who examine the continuity between theoretical frameworks and applied systems. By synthesizing research across set theory, proof theory, and algebraic geometry, the authors demonstrate how foundational logic informs contemporary computational and mathematical problem-solving.
What You Will Find
Experts recognize this volume as a significant compilation of research from the European Logic Colloquium, offering a high-level overview of the field's breadth. Readers frequently note the academic density of the prose, which is intended for researchers and advanced students in mathematics and computer science.
Page Count:
552
Publication Date:
1996-08-22
Publisher:
Clarendon Press
ISBN-10:
0198538626
ISBN-13:
9780198538622
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