Description

Book Synopsis
Using basic category theory, this Element describes all the central concepts and proves the main theorems of theoretical computer science. Category theory, which works with functions, processes, and structures, is uniquely qualified to present the fundamental results of theoretical computer science. In this Element, readers will meet some of the deepest ideas and theorems of modern computers and mathematics, such as Turing machines, unsolvable problems, the P=NP question, Kurt Gödel''s incompleteness theorem, intractable problems, cryptographic protocols, Alan Turing''s Halting problem, and much more. The concepts come alive with many examples and exercises.

Table of Contents
1. Introduction; 2. Aide-Mémoire for Category Theory; 3. Models of Computation; 4. Computability Theory; 5. Complexity Theory; 6. Diagonal Arguments; 7. Conclusion; References.

Theoretical Computer Science for the Working

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    A Paperback by Noson S. Yanofsky

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      Book details

      Publisher Cambridge University Press
      Published 3 March 2022
      ISBN-13 9781108792745
      978-1108792745
      ISBN-10 110879274X
      Also in:
      Computing Mathematical theory of computation

      Description

      Book Synopsis
      Using basic category theory, this Element describes all the central concepts and proves the main theorems of theoretical computer science. Category theory, which works with functions, processes, and structures, is uniquely qualified to present the fundamental results of theoretical computer science. In this Element, readers will meet some of the deepest ideas and theorems of modern computers and mathematics, such as Turing machines, unsolvable problems, the P=NP question, Kurt Gödel''s incompleteness theorem, intractable problems, cryptographic protocols, Alan Turing''s Halting problem, and much more. The concepts come alive with many examples and exercises.

      Table of Contents
      1. Introduction; 2. Aide-Mémoire for Category Theory; 3. Models of Computation; 4. Computability Theory; 5. Complexity Theory; 6. Diagonal Arguments; 7. Conclusion; References.

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