Advances in Computing and Information - ICCI '91

International Conference on Computing and Information, Ottawa, Canada, May 27-29, 1991. Proceedings

Author: Frank Dehne

Publisher: Springer Science & Business Media

ISBN: 9783540540298

Category: Computers

Page: 744

View: 721

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These ICCI '91 proceedings present original results in research, development, and applications in computing and information processing. Topics: algorithms and complexity, databases and information systems, parallel processing and systems, distributed computing and systems, expert systems and AI.
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Kurt Gödel: Collected Works: Volume II

Publications 1938-1974

Author: Kurt Gödel

Publisher: Oxford University Press

ISBN: 9780195039726

Category: Mathematics

Page: 407

View: 333

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This second volume of a comprehensive edition of Kurt Godel's works collects the remainder of his published work, covering the period 1938-1974. (Volume I included all of his publications from 1929-1936). Each article or closely related group of articles is preceded by an introductory note that elucidates it and places it in historical context.
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Kurt Gödel: Collected Works: Volume II

Publications 1938-1974

Author: Kurt Gödel

Publisher: Oxford University Press

ISBN: 9780195039726

Category: Mathematics

Page: 407

View: 3331

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This second volume of a comprehensive edition of Kurt Godel's works collects the remainder of his published work, covering the period 1938-1974. (Volume I included all of his publications from 1929-1936). Each article or closely related group of articles is preceded by an introductory note that elucidates it and places it in historical context.
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Thinking about G”del and Turing

Essays on Complexity, 1970-2007

Author: Gregory J. Chaitin

Publisher: World Scientific

ISBN: 9812708952

Category: Mathematics

Page: 347

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Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable ê number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as G”del and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of G”del and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic approach to metamathematics suggests a quasi-empirical view of mathematics that emphasizes the similarities rather than the differences between mathematics and physics. He also develops his own brand of digital philosophy, which views the entire universe as a giant computation, and speculates that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with the limits of knowledge and to physicists interested in the nature of complexity.
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The Consistency of the Axiom of Choice and of the Generalized Continuum-hypothesis with the Axioms of Set Theory

Author: Kurt G?del,Kurt Goedel

Publisher: Princeton University Press

ISBN: 9780691079271

Category: Mathematics

Page: 66

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Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Institute for Advanced Study in Princeton, where he joined the group of world-famous mathematicians who made up its original faculty. His 1940 book, better known by its short title, The Consistency of the Continuum Hypothesis, is a classic of modern mathematics. The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems, famously delivered as a manifesto to the field of mathematics at the International Congress of Mathematicians in Paris in 1900. In The Consistency of the Continuum Hypothesis Gödel set forth his proof for this problem. In 1999, Time magazine ranked him higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk. He is most renowned for his proof in 1931 of the 'incompleteness theorem,' in which he demonstrated that there are problems that cannot be solved by any set of rules or procedures. His proof wrought fruitful havoc in mathematics, logic, and beyond.
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Combinatorial Optimization

Networks and Matroids

Author: Eugene L. Lawler

Publisher: Courier Corporation

ISBN: 9780486414539

Category: Mathematics

Page: 374

View: 2333

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Perceptive text examines shortest paths, network flows, bipartite and nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. Suitable for courses in combinatorial computing and concrete computational complexity.
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Mathematical Methods for Curves and Surfaces

7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers

Author: Morten Dæhlen,Michael S. Floater,Tom Lyche,Jean-Louis Merrien,Knut Morken,Larry L. Schumaker

Publisher: Springer

ISBN: 3642116205

Category: Computers

Page: 446

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This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.
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Descriptional Complexity of Formal Systems

18th IFIP WG 1.2 International Conference, DCFS 2016, Bucharest, Romania, July 5-8, 2016. Proceedings

Author: Cezar Câmpeanu,Florin Manea,Jeffrey Shallit

Publisher: Springer

ISBN: 3319411144

Category: Mathematics

Page: 217

View: 5270

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his book constitutes the refereed proceedings of the 18th International Conference on Descriptional Complexity of Formal Systems, DCFS 2016, held in Bucharest, Romania, in July 2016. The 13 full papers presented together with 4 invited talks were carefully reviewed and selected from 21 submissions.Descriptional Complexity is a field in Computer Science that deals with the size of all kind of objects that occur in computational models, such as Turing Machines, finte automata, grammars, splicing systems and others. The topics of this conference are related to all aspects of descriptional complexity.
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