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Problems in Set Theory, Mathematical Logic and the Theory of Algorithms

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 857/5 ( reviews)

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Book Synopsis Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by : Igor Lavrov

Download or read book Problems in Set Theory, Mathematical Logic and the Theory of Algorithms written by Igor Lavrov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.

Matemati?eskaja Logika, Teorija Algoritmov i Teorija Množestv

1977 Mathematics
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Release : 1977
Genre : Mathematics
Kind : eBook
Book Rating : 338/5 ( reviews)

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Book Synopsis Matemati?eskaja Logika, Teorija Algoritmov i Teorija Množestv by : S. I. Adi︠a︡n

Download or read book Matemati?eskaja Logika, Teorija Algoritmov i Teorija Množestv written by S. I. Adi︠a︡n. This book was released on 1977. Available in PDF, EPUB and Kindle. Book excerpt: Papers celebrating Petr Sergeevič Novikov and his work in descriptive set theory and algorithmic problems of algebra.

Mathematical Logic

1977 Algorithms
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Release : 1977
Genre : Algorithms
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Mathematical Logic by : S. I. Adian

Download or read book Mathematical Logic written by S. I. Adian. This book was released on 1977. Available in PDF, EPUB and Kindle. Book excerpt:

Set Theory for Computing

2001-06-26 Computers
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Release : 2001-06-26
Genre : Computers
Kind : eBook
Book Rating : 973/5 ( reviews)

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Book Synopsis Set Theory for Computing by : Domenico Cantone

Download or read book Set Theory for Computing written by Domenico Cantone. This book was released on 2001-06-26. Available in PDF, EPUB and Kindle. Book excerpt: "Set Theory for Computing" provides a comprehensive account of set-oriented symbolic manipulation methods suitable for automated reasoning. Its main objective is twofold: 1) to provide a flexible formalization for a variety of set languages, and 2) to clarify the semantics of set constructs firmly established in modern specification languages and in the programming practice. Topics include: semantic unification, decision algorithms, modal logics, declarative programming, tableau-based proof techniques, and theory-based theorem proving. The style of presentation is self-contained, rigorous and accurate. Some familiarity with symbolic logic is helpful but not a requirement. This book is a useful resource for all advanced students, professionals, and researchers in computing sciences, artificial intelligence, automated reasoning, logic, and computational mathematics. It will serve to complement their intuitive understanding of set concepts with the ability to master them by symbolic and logically based algorithmic methods and deductive techniques.

Algorithms for Constructing Computably Enumerable Sets

2023-05-23 Computers
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Release : 2023-05-23
Genre : Computers
Kind : eBook
Book Rating : 047/5 ( reviews)

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Book Synopsis Algorithms for Constructing Computably Enumerable Sets by : Kenneth J. Supowit

Download or read book Algorithms for Constructing Computably Enumerable Sets written by Kenneth J. Supowit. This book was released on 2023-05-23. Available in PDF, EPUB and Kindle. Book excerpt: Logicians have developed beautiful algorithmic techniques for the construction of computably enumerable sets. This textbook presents these techniques in a unified way that should appeal to computer scientists. Specifically, the book explains, organizes, and compares various algorithmic techniques used in computability theory (which was formerly called "classical recursion theory"). This area of study has produced some of the most beautiful and subtle algorithms ever developed for any problems. These algorithms are little-known outside of a niche within the mathematical logic community. By presenting them in a style familiar to computer scientists, the intent is to greatly broaden their influence and appeal. Topics and features: · All other books in this field focus on the mathematical results, rather than on the algorithms. · There are many exercises here, most of which relate to details of the algorithms. · The proofs involving priority trees are written here in greater detail, and with more intuition, than can be found elsewhere in the literature. · The algorithms are presented in a pseudocode very similar to that used in textbooks (such as that by Cormen, Leiserson, Rivest, and Stein) on concrete algorithms. · In addition to their aesthetic value, the algorithmic ideas developed for these abstract problems might find applications in more practical areas. Graduate students in computer science or in mathematical logic constitute the primary audience. Furthermore, when the author taught a one-semester graduate course based on this material, a number of advanced undergraduates, majoring in computer science or mathematics or both, took the course and flourished in it. Kenneth J. Supowit is an Associate Professor Emeritus, Department of Computer Science & Engineering, Ohio State University, Columbus, Ohio, US.

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