Church of the Millennium: Reflections on the validity of the Church-Turing thesis, and its refinements, in 1999

January 1999


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Table of Contents

Church of the Millennium: Reflections on the validity of the Church-Turing thesis, and its refinements, in 1999

Foreword

Outline

Quantum computing

Factoring

Quantum factoring

Why of interest to TCS?

Why of interest to TCS?

Why of interest to TCS?

Why of interest to TCS?

Formalising ‘computation’, 1931

Church-Turing thesis

Computational complexity theory

Where are the tractable problems?

The Invariance Thesis

The Invariance Thesis

The Invariance Thesis

First and second machine classes

Solving intractable problems

P=?NP

Future...

Conclusions

PPT Slide

Author: Computer Science Dept.

Email: tomn@cs.may.ie

Home Page: http://www.cs.may.ie/~tnaughton