Studies in Constructive Mathematics and Mathematical Logic, Part Ii. Edited by A.O. Slisenko. Translated From Russian PDF Download
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Author: A. O. Slisenko (Ed)
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 136
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Book Description
Author: A. O. Slisenko (Ed)
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 136
Get Book Here
Book Description
Author: A. O. Slisenko (Ed)
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 88
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Book Description
Author: A. O. Slisenko
Publisher: Springer Science & Business Media
ISBN: 1468489682
Category : Science
Languages : en
Pages : 96
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Book Description
This volume contains a number of short papers reporting results presented to the Leningrad Seminar on Constructive Mathematics or to the Leningrad Seminar on Mathematical Logic. As a rule, the notes do not contain detailed proofs. Complete explanations will be printed in the Trudy (Transac tions) of the V.A. Steklov Mathematics Institute AN SSSR (in the "Problems of Constructive Direction in Mathematics" and the "Mathematical Logic and Logical Calculus" series). The papers published herein are primarily from the constructive direction in mathematics. A. Slisenko v CONTENTS 1 Method of Establishing Deducibility in Classical Predicate Calculus ... G.V. Davydov 5 On the Correction of Unprovable Formulas ... G.V. Davydov Lebesgue Integral in Constructive Analysis ... 9 O. Demuth Sufficient Conditions of Incompleteness for the Formalization of Parts of Arithmetic ... 15 N.K. Kosovskii Normal Formfor Deductions in Predicate Calculus with Equality and Functional Symbols. ... 21 V.A. Lifshits Some Reduction Classes and Undecidable Theories. ... . 24 ... V.A. Lifshits Deductive Validity and Reduction Classes. ... 26 ... V.A. Lifshits Problem of Decidability for Some Constructive Theories of Equalities. ... 29 . . V.A. Lifshits On Constructive Groups. ... . . 32 ... V.A. Lifshits Invertible Sequential Variant of Constructive Predicate Calculus. ... . 36 . S. Yu. Maslov Choice of Terms in Quantifier Rules of Constructive Predicate Calculus .. 43 G.E. Mints Analog of Herbrand's Theorem for Prenex Formulas of Constructive Predicate Calculus .. 47 G.E. Mints Variation in the Deduction Search Tactics in Sequential Calculus ... 52 ... G.E. Mints Imbedding Operations Associated with Kripke's "Semantics" ... 60 ...
Author: A. O. Slisenko
Publisher:
ISBN:
Category : Constructive mathematics
Languages : en
Pages : 152
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Book Description
Author: John MacCormick
Publisher: Princeton University Press
ISBN: 0691170665
Category : Computers
Languages : en
Pages : 404
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Book Description
An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of—and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with forthcoming Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Lecture slides and Python programs are available at whatcanbecomputed.com
Author: Johanna N. Y. Franklin
Publisher: Cambridge University Press
ISBN: 1108808271
Category : Mathematics
Languages : en
Pages : 371
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Book Description
The last two decades have seen a wave of exciting new developments in the theory of algorithmic randomness and its applications to other areas of mathematics. This volume surveys much of the recent work that has not been included in published volumes until now. It contains a range of articles on algorithmic randomness and its interactions with closely related topics such as computability theory and computational complexity, as well as wider applications in areas of mathematics including analysis, probability, and ergodic theory. In addition to being an indispensable reference for researchers in algorithmic randomness, the unified view of the theory presented here makes this an excellent entry point for graduate students and other newcomers to the field.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 730
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Book Description
Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1620
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Book Description
Author: S.R. Buss
Publisher: Elsevier
ISBN: 0080533183
Category : Mathematics
Languages : en
Pages : 823
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Book Description
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Author: Costas Dimitracopoulos
Publisher: Cambridge University Press
ISBN: 1139467255
Category : Mathematics
Languages : en
Pages : 272
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Book Description
The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of developments, and the rest of the papers are chosen to complement the invited talks. This 2007 volume includes surveys, tutorials, and selected research papers from the 2005 meeting. Highlights include three papers on different aspects of connections between model theory and algebra; a survey of major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics.
