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Theoretical Computer Science is the mathematical foundation of computing in all its forms. By being the foundation, it is also the starting point for new and more efficient methodologies of computation.

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Theory of Computation

Lecture notes for an undergraduate class taught by Leonid Levin at UC Berkeley.
http://www.cs.bu.edu/fac/lnd/toc/

Church-Turing Thesis

Wikipedia article.
http://en.wikipedia.org/wiki/Church-Turing_thesis

Computability Theory

Wikipedia article.
http://en.wikipedia.org/wiki/Computability_theory

Interactive Computation

Wikipedia article.
http://en.wikipedia.org/wiki/Interactive_computation

Computability Logic

Main web source on the subject: overview, downloadable articles, links.
http://www.cis.upenn.edu/~giorgi/cl.html

Theoretical Computer Science on the Web

A directory of resources related to theoretical computer science from Stanford University.
http://ai.stanford.edu/~suresh/theory/theory-home.html
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