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Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem, Denis R. Hirschfeldt, Karen Lange, Richard A. Shore


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Автор: Denis R. Hirschfeldt, Karen Lange, Richard A. Shore
Название:  Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem
ISBN: 9781470426576
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470426579
Обложка/Формат: Paperback
Страницы: 101
Вес: 0.00 кг.
Дата издания: 30.10.2017
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Mathematical foundations,Mathematical logic
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Поставляется из: Англии
Описание: The authors show that HMT and AMT are indeed equivalent in the sense of reverse mathematics, as well as in a strong computability theoretic sense and do the same for an analogous result of Peretyat`kin giving necessary and sufficient conditions for when a set of types is the type spectrum of some model.

Automated Mathematical Induction

Автор: Hantao Zhang
Название: Automated Mathematical Induction
ISBN: 9401072507 ISBN-13(EAN): 9789401072502
Издательство: Springer
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Цена: 130430.00 T
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Описание: It has been shown how the common structure that defines a family of proofs can be expressed as a proof plan [5]. A proof plan has two complementary components: a proof method and a proof tactic. By prescribing the structure of a proof at the level of primitive inferences, a tactic [11] provides the guarantee part of the proof.

Induction, Algorithmic Learning Theory, and Philosophy

Автор: Mich?le Friend; Norma B. Goethe; Valentina S. Hari
Название: Induction, Algorithmic Learning Theory, and Philosophy
ISBN: 1402061269 ISBN-13(EAN): 9781402061264
Издательство: Springer
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Цена: 181670.00 T
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Описание: Includes essays that provide engaging surveys of different, complementary, and mutually inspiring approaches to the topic of algorithmic learning theory and the epistemology of science, both from a philosophical and a mathematical viewpoint.

Abduction and Induction

Автор: P.A. Flach; Antonis Hadjiantonis
Название: Abduction and Induction
ISBN: 0792362500 ISBN-13(EAN): 9780792362500
Издательство: Springer
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Цена: 181670.00 T
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Описание: From the very beginning of their investigation of human reasoning, philosophers have identified two other forms of reasoning, besides deduction, which is called as abduction and induction. This book addresses the relationship between abduction and induction and their possible integration, and is for philosophers, logicians, and AI researchers.

Mathematical Induction: A Powerful and Elegant Method of Proof

Автор: Titu Andreescu, Vlad Crisan
Название: Mathematical Induction: A Powerful and Elegant Method of Proof
ISBN: 0996874593 ISBN-13(EAN): 9780996874595
Издательство: Mare Nostrum (Eurospan)
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Цена: 72070.00 T
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Описание: Serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject.

Induction, Algorithmic Learning Theory, and Philosophy

Автор: Mich?le Friend; Norma B. Goethe; Valentina S. Hari
Название: Induction, Algorithmic Learning Theory, and Philosophy
ISBN: 9048175445 ISBN-13(EAN): 9789048175444
Издательство: Springer
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Цена: 181670.00 T
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Описание: This is the first book to collect essays from philosophers, mathematicians and computer scientists working at the exciting interface of algorithmic learning theory and the epistemology of science and inductive inference.

Handbook Of Mathematical Induction

Автор: Gunderson
Название: Handbook Of Mathematical Induction
ISBN: 113819901X ISBN-13(EAN): 9781138199019
Издательство: Taylor&Francis
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Цена: 53070.00 T
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Описание:

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.

In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs.

The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized.

The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.


Automated Theorem Proving

Автор: Monty Newborn
Название: Automated Theorem Proving
ISBN: 1461265193 ISBN-13(EAN): 9781461265191
Издательство: Springer
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Цена: 111790.00 T
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Описание: This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving.

Proofs of the Cantor-Bernstein Theorem

Автор: Arie Hinkis
Название: Proofs of the Cantor-Bernstein Theorem
ISBN: 3034807880 ISBN-13(EAN): 9783034807883
Издательство: Springer
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Цена: 88470.00 T
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Описание: This `excursion` through the evolution of research mathematics takes in some 40 papers, published up to the 1970s, on proofs of the Cantor-Bernstein theorem. It provides a detailed example of proof-processing in the derivation of Bernstein`s division theorem.

There`s Something About Godel - The Complete Guide to the Incompleteness Theorem

Автор: Berto
Название: There`s Something About Godel - The Complete Guide to the Incompleteness Theorem
ISBN: 1405197668 ISBN-13(EAN): 9781405197663
Издательство: Wiley
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Цена: 89710.00 T
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Описание: There`s Something About Godel is a lucid and accessible guide to Godel`s revolutionary Incompleteness Theorem , considered one of the most astounding argumentative sequences in the history of human thought. It is also an exploration of the most controversial alleged philosophical outcomes of the Theorem.

Higher Order Logic Theorem Proving and Its Applications

Автор: E. Thomas Schubert; Phillip J. Windley; James Alve
Название: Higher Order Logic Theorem Proving and Its Applications
ISBN: 3540602755 ISBN-13(EAN): 9783540602750
Издательство: Springer
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Цена: 81050.00 T
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Описание: The papers in this collection document the advances in the field, and fall into three general categories: representation of formalisms in higher order logic; applications of mechanized higher order logic; and enhancements to the HOL and other theorem proving systems.

Theorem Proving with Analytic Tableaux and Related Methods

Автор: Peter Baumgartner; Reiner H?hnle; Joachim Posegga
Название: Theorem Proving with Analytic Tableaux and Related Methods
ISBN: 3540593381 ISBN-13(EAN): 9783540593386
Издательство: Springer
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Цена: 69870.00 T
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Описание: Constitutes the proceedings of the 4th International Workshop on Theorem Proving with Analytic Tableaux and Related Methods, TABLEAU `95, held at Schlos Rheinfels, St Goar, Germany in May 1995. This book includes sections on extensions, modal logic, intuitionistic logic, the connection method and model elimination, linear logic, and applications.


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