Introduction to Mathematical Logic

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Author: Elliot Mendelsohn

Publisher: Springer Science & Business Media

ISBN: 1461572886

Category: Juvenile Nonfiction

Page: 342

View: 6727

This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.

Automated Reasoning with Analytic Tableaux and Related Methods

International Conference, TABLEAUX 2000 St Andrews, Scotland, UK, July 3-7, 2000 Proceedings

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Author: Roy Dyckhoff

Publisher: Springer

ISBN: 3540450084

Category: Computers

Page: 440

View: 9160

This book constitutes the refereed proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000, held in St Andrews, Scotland, UK, in July 2000.The 23 revised full papers and 2 system descriptions presented were carefully reviewed and selected from 42 submissions. Also included are 3 invited lectures and 6 nonclassical system comparisons. All current issues surrounding the mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation, systems development, and applications, as well as covering a broad variety of logical calculi.

Proof Complexity and Feasible Arithmetics

DIMACS Workshop, April 21-24, 1996

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Author: Paul W. Beame,Samuel R. Buss

Publisher: American Mathematical Soc.

ISBN: 9780821870822

Category: Mathematics

Page: 320

View: 2725

Questions of mathematical proof and logical inference have been a significant thread in modern mathematics and have played a formative role in the development of computer science and artificial intelligence. Research in proof complexity and feasible theories of arithmetic aims at understanding not only whether or not logical inferences can be made but also what resources are required to carry them out. Understanding the resources required for logical inferences has major implications for some of the most important problems in computational complexity, particularly the problem of whether or not NP is equal to co-NP. In addition, these have important implications for the efficiency of automated reasoning systems. The last dozen years have seen several breakthroughs in the study of these resource requirement. Papers in this volume represent the proceedings of the DIMACS workshop on "Feasible Arithmetics and Proof Complexity" held in April 1996 in Rutgers, NJ, as part of the DIMACS Institute's Special Year on Logic and Algorithms. This book brings together some of the most recent work of leading researchers in proof complexity and feasible arithmetic reflecting many of these advances. It covers a number of aspects of the field including lower bounds in proof complexity, witnessing theorems and proof systems for feasible arithmetic, algebraic and combinatorial proof systems, interpolation theorems, and the relationship between proof complexity and Boolean circuit complexity.

AI*IA 99:Advances in Artificial Intelligence

6th Congress of the Italian Association for Artificial Intelligence Bologna, Italy, September 14-17, 1999 Selected Papers

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Author: Associazione italiana per l'intelligenza artificiale. Congress,Italian Association for Artificial Intelligence. Congress (,Congress of Italian Association for Artificial Intelligence (,Associazione Italiana per l'Intelligenza Artificiale

Publisher: Springer Science & Business Media

ISBN: 3540673504

Category: Computers

Page: 392

View: 4053

This book constitutes the thoroughly refereed post-conference proceedings of the 6th Congress of the Italian Association for Artificial Intelligence, AI*IA 99, held in Bologna, Italy, in September 1999. The 33 revised full papers presented were carefully reviewed and selected for inclusion in the book from a total of 64 congress submissions. The papers are organized in topical sections on knowledge representation; automated reasoning; temporal and qualitative reasoning; machine learning, data mining, and theory revision; natural language processing and web interfaces; multi-agent systems; perception and robotics; and planning and scheduling.

Computational logic and proof theory

Third Kurt Gödel Colloquium, KGC'93, Brno, Czech Republic, August 1993 : proceedings

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Author: Georg Gottlob,Alexander Leitsch,Daniele Mundici,Kurt Gödel Society

Publisher: Springer

ISBN: N.A

Category: Computers

Page: 348

View: 5806

AI*IA 99:Advances in Artificial Intelligence

6th Congress of the Italian Association for Artificial Intelligence Bologna, Italy, September 14-17, 1999 Selected Papers

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Author: Evelina Lamma,Paolo Mello

Publisher: Springer

ISBN: N.A

Category: Artificial intelligence

Page: 392

View: 2886

This book constitutes the thoroughly refereed post-conference proceedings of the 6th Congress of the Italian Association for Artificial Intelligence, AI*IA 99, held in Bologna, Italy, in September 1999. The 33 revised full papers presented were carefully reviewed and selected for inclusion in the book from a total of 64 congress submissions. The papers are organized in topical sections on knowledge representation; automated reasoning; temporal and qualitative reasoning; machine learning, data mining, and theory revision; natural language processing and web interfaces; multi-agent systems; perception and robotics; and planning and scheduling.

Computability

Computable Functions Logic and the Foundations of Math

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Author: Richard L. Epstein,Walter Alexandr Carnielli

Publisher: Chapman and Hall/CRC

ISBN: 9780534103569

Category: Mathematics

Page: 297

View: 7339

An introduction to recursion theory and particularly to the theory of computing, including fourteen readings by Hilbert, Godel, Turing, Post, Church, and others along with a discussion of issues such as self-reference and infinite sets. Annotation copyrighted by Book News, Inc., Portland, OR

The Library Journal

Chiefly Devoted to Library Economy and Bibliography

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Libraries

Page: N.A

View: 9347

Includes, beginning Sept. 15, 1954 (and on the 15th of each month, Sept.-May) a special section: School library journal, ISSN 0000-0035, (called Junior libraries, 1954-May 1961). Also issued separately.

American Book Publishing Record Cumulative, 1970-1974

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Author: Bowker Editorial Staff

Publisher: N.A

ISBN: 9780835209113

Category:

Page: 6500

View: 391

Here's quick access to more than 490,000 titles published from 1970 to 1984 arranged in Dewey sequence with sections for Adult and Juvenile Fiction. Author and Title indexes are included, and a Subject Guide correlates primary subjects with Dewey and LC classification numbers. These cumulative records are available in three separate sets.

Choice

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

View: 513

Mengenlehre und ihre Logik

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Author: Willard van Orman Quine

Publisher: Springer-Verlag

ISBN: 3322859436

Category: Mathematics

Page: 264

View: 9470

Forthcoming Books

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Author: Rose Arny

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 9885