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Recent work at the interface of logic, combinatorics, and computer science

Recent work at the interface of logic, combinatorics, and computer science Annals of Mathematics and Artificial Intelligence 6 (1992) 1-16 1 Recent work at the interface of logic, combinatorics, and computer science John Franco 1 Department of Computer Science, University of Cincinnati, Mail Location 8, Cincinnati, OH 45221, USA J. Michael Dunn Philosophy Department, Indiana University, Bloomington, IN 47405, USA William H. Wheeler Department of Mathematics, Indiana University, Bloomington, IN 47405, USA Preface Logic has always provided a rigorous foundation for mathematics and philoso- phy and more recently it has been called upon to support formal concepts and problem-solving mechanisms for computer science, operations research, and artificial intelligence. Considering its central importance to fields represented by the readership of this journal, we have assembled a special issue focusing on current research in aspects of logic related to computational complexity and combinatorics. From the 1930's to the 1960% logicians were primarily concerned with the development of proof systems and the extent to which true logical statements were provable in them. However, more recent work emphasizes that it is also very important to study computational requirements: a system must produce relatively short proofs or else it will take too much time to be useful. What are the most powerful systems that will http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Mathematics and Artificial Intelligence Springer Journals

Recent work at the interface of logic, combinatorics, and computer science

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Publisher
Springer Journals
Copyright
Copyright
Subject
Computer Science; Artificial Intelligence; Mathematics, general; Computer Science, general; Complex Systems
ISSN
1012-2443
eISSN
1573-7470
DOI
10.1007/BF01531020
Publisher site
See Article on Publisher Site

Abstract

Annals of Mathematics and Artificial Intelligence 6 (1992) 1-16 1 Recent work at the interface of logic, combinatorics, and computer science John Franco 1 Department of Computer Science, University of Cincinnati, Mail Location 8, Cincinnati, OH 45221, USA J. Michael Dunn Philosophy Department, Indiana University, Bloomington, IN 47405, USA William H. Wheeler Department of Mathematics, Indiana University, Bloomington, IN 47405, USA Preface Logic has always provided a rigorous foundation for mathematics and philoso- phy and more recently it has been called upon to support formal concepts and problem-solving mechanisms for computer science, operations research, and artificial intelligence. Considering its central importance to fields represented by the readership of this journal, we have assembled a special issue focusing on current research in aspects of logic related to computational complexity and combinatorics. From the 1930's to the 1960% logicians were primarily concerned with the development of proof systems and the extent to which true logical statements were provable in them. However, more recent work emphasizes that it is also very important to study computational requirements: a system must produce relatively short proofs or else it will take too much time to be useful. What are the most powerful systems that will

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Annals of Mathematics and Artificial Intelligence – Springer Journals

Published: Apr 5, 2005

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