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Category: theory

State machine methods

August 9, 2026 vy theory

Papers on automata theory and sequential functions The automata theoretic roots of process algebra. Large State Machines and Sequential functions    Classic papers “Loop free

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Norbert Weiner and John von Neumann

Von Neumann on the empirical roots of mathematics

December 21, 2025 vy theory

See also: Von Neumann’s critique of automata theory and logic in computer science

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Mathematics errors in computer science

October 17, 2022 vy academics, theory

A trivial theorem, more of a tautology, on networking and Turing’s deep theorem on decidability are both widely cited, widely misunderstood and widely misapplied in

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Lecture notes on Paxos

April 21, 2022 vy theory

PAXOS – (c) Victor Yodaiken, 2022 These are the lecture notes, or see the paper below  1. Really clever distributed consensus algorithm by Leslie Lamport

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Sorting algorithms as recursive functions

September 2, 2020 vy algebra, theory

This paper is an experiment in presenting programming algorithms as recursive functions, without pseudo-code or genuine code. The algorithms presented are the standard basic sorting

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Paxos demystified

October 6, 2019 vy archived, theory

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The halting problem has nothing to do with computers

July 12, 2019 vy theory

  “Turing’s work was of course a great contribution to the world of mathematics, but there is a question of exactly how it is related

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Von Neumann’s critique of automata theory and logic in computer science

February 20, 2019 vy theory

These remarks from “THE GENERAL AND LOGICAL THEORY OF AUTOMATA” 1947 are enormously insightful – no surprise. Von Neumann essentially predicts the emergence of the

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Judea Pearl’s mysterious claim

May 21, 2018 vy academics, theory

Pearl: Of course, but you cannot see this noble aspiration in scientific equations. The language of algebra is symmetric: If x tells us about y, then y tells us about x. I’m

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Trees in informal methods

May 5, 2018 vy state maps

What’s a tree? First define a sequence or length n> 0 as a total map s: {1,.. n}→ X. Let Nil be the empty sequence. 

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