Logical Foundations of Mathematics and Computational Complexity

Released on by Pavel Pudlák
preview-18

  • Logical Foundations of Mathematics and Computational Complexity Book Detail

  • Author : Pavel Pudlák
  • Release Date : 2013-04-22
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 699
  • ISBN 13 : 3319001191
  • File Size : 23,23 MB
DOWNLOAD BOOK

Logical Foundations of Mathematics and Computational Complexity by Pavel Pudlák PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Logical Foundations of Mathematics and Computational Complexity books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Descriptive Complexity

Descriptive Complexity

File Size : 12,12 MB
Total View : 1851 Views
DOWNLOAD

By virtue of the close relationship between logic and relational databases, it turns out that complexity has important applications to databases such as analyzi

Logic and Complexity

Logic and Complexity

File Size : 33,33 MB
Total View : 9162 Views
DOWNLOAD

Logic and Complexity looks at basic logic as it is used in Computer Science, and provides students with a logical approach to Complexity theory. With plenty of

Computability, Complexity, Logic

Computability, Complexity, Logic

File Size : 88,88 MB
Total View : 7417 Views
DOWNLOAD

The theme of this book is formed by a pair of concepts: the concept of formal language as carrier of the precise expression of meaning, facts and problems, and