Logical Foundations of Mathematics and Computational Complexity

Name: Logical Foundations of Mathematics and Computational Complexity
Brand: Springer International Publishing AG
SKU: 9783319001180
Price: 992.43 RON
Availability: InStock

A Gentle Introduction

Autor: Pavel Pudlák

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Legare: Copertă tare

Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern

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The two main themes of this book, logic and complexity, are both essential for understanding the mai...

Informații despre carte

Autor

Pavel Pudlák

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2013

Pagini

695

EAN

9783319001180

ISBN

3319001183

Enbook ID

01468805

Editura

Springer International Publishing AG

Greutate

1086

Dimensiuni

164 x 242 x 32

Descriere completă

The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability.§Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs.§Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.

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Logical Foundations of Mathematics and Computational Complexity

A Gentle Introduction

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