Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive set theory, Provably recursive functions, Program extraction, Theories of truth, Constructive mathematics, Classical vs. intuitionistic logic, Inductive definitions, and Continuous functionals and domains.
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory ...
A thorough introduction to the fundamental methods and results in mathematical logic, and its foundational role in computer science.
The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions.
A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts.
The book provides a bottom-up approach to understanding how a computer works and how to use computing to solve real-world problems.
This book contains revised versions of papers invited for presentation at the International Workshop on Logic and Computational Complexity, LCC '94, held in Indianapolis, IN in October 1994.
The twenty papers in this volume cover many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, and semigroup theory, as well as discussing current challenges in the ...
In: To H.B. Curry: Essays on combinatory logic, lambda calculus and formalism (J.P. Seldin and J.R. Hindley, eds.), pp. 453-455. Academic Press 1980a Gandy, R.O.: Proofs of strong of normalization.
Unique approach tackles what most books don't-why maths and logic are fundamental tools for a programmer This comprehensive guide is a balanced combination of mathematical theory and the practice...
This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos.