Mathematical Logic and Theoretical Computer Science: 1st Edition (Hardback) book cover

Mathematical Logic and Theoretical Computer Science

1st Edition

By David Kueker

CRC Press

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Paperback: 9780824777463
pub: 1986-12-22
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Hardback: 9781138466890
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Description

Mathematical Logic and Theoretical Computer Science covers various topics ranging from recursion theory to Zariski topoi. Leading international authorities discuss selected topics in a number of areas, including denotational semanitcs, reccuriosn theoretic aspects fo computer science, model theory and algebra, Automath and automated reasoning, stability theory, topoi and mathematics, and topoi and logic.

The most up-to-date review available in its field, Mathematical Logic and Theoretical Computer Science will be of interest to mathematical logicians, computer scientists, algebraists, algebraic geometers, differential geometers, differential topologists, and graduate students in mathematics and computer science.

Table of Contents

Type 1 Calculus and Automated Mathematics. Lambda Calculus Extended With Segments. Well-Ordering and Induction in Intuitioinistic Logic. Separating Relaltivized Complexity Classes. Generalizing Automath By Means Of A Lambda-Typed Lambda Calculus. Local Concepts and Germ Representability. Model Theory of Profinite Groups Having IP. An Extension of Frege Structures. Oracles: Three New Results. Kueker's Conjecture For O Minimal Theories. On The Embedding of Manifolds Into The Smooth Zariski Topos. Rings Of Smooth Functions And Their Localizations. Interpolation And Conceptual Completeness For Pretopose Via Category Theory. Finite QE Rings In Characterist 4. Computatable Functions In Categories. A Note On The Complexity of Synthesizing Finite Machines.

About the Author

David Kuekker is a professor of mathematics at the University of Maryland, College Park.

Subject Categories

BISAC Subject Codes/Headings:
MAT028000
MATHEMATICS / Set Theory