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Category: theory

Practical State Machines for Computer Software and Engineering

December 21, 2015 vy state maps

Download paper. [gview file=”https://www.yodaiken.com/wp-content/uploads/2016/01/practical.pdf”]

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Theories of abstract automata – Arbib

December 12, 2015 vy academics, theory

We have said that automata theory deals with the realization of partial functions F: X* —» Y* by some finitely specifiable substrate. Before we specify

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Algebra for computer science and function nesting

November 6, 2015 vy theory

The fundamental mathematical basis of computer science is that code and data are the same things. A sequence of bits can represent real numbers, integers,

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Primitive recursion over words

September 29, 2015 vy theory

    From: @book{Peter:1982:RFC:539249, author = {Peter, Roezsa}, title = {Recursive Functions in Computer Theory}, year = {1982}, isbn = {0470271957}, publisher = {Halsted Press},

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Pointers draft

March 5, 2015 vy theory

Despite pedants, pointers are useful and interesting and if you don’t understand them, you don’t really get what’s going on in a computer. Think of

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Fischer Lynch Patterson and timeouts

September 20, 2014 vy academics, theory

There is a widely cited (over 1400 cites in CiteseerX ) result called the Fischer-Lynch-Patterson theorem about consensus – a key issue in distributed databases or

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A hard theorem becomes easy over time.

September 8, 2014 vy theory

The basic result of the incompleteness proofs is pretty simple.  The proofs are complicated because the idea was literally unthinkable until programming was invented. The

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the terrible effect of Krohn-Rhodes

December 4, 2013 vy academics, theory

One of the most interesting theorems in computer science is the Krohn-Rhodes theorem that shows a strong link between basic computer science and group theory.

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Gödel’s Lost Letter

August 28, 2009 yodaiken theory

Gödel’s perspective in this letter is a refutation of the simplistic take on Turing’s proof seen so often in the computer science literature. In particular:

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Are threads evil? (updated)

February 25, 2009 yodaiken systems, theory

This paper by Prof. Edward Lee explains something of why “threads” are such a painful abstraction.  As Prof. Lee notes, threads intrinsically create unspecified program

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