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A Quantum-Inspired Mechanical Method for Proving of Ramsey’s Theorem by Symbolic Computation over the Finite Field GF(2)

Published: 25 November 2024 Publication History

Abstract

This paper presents a quantum-inspired method for proving Ramsey’s theorem using symbolic computation on conventional computers, an improvement of the classical Ramsey’s theorem, and a mechanized proof of R(3,4)=9 implemented by symbolic computation on the finite field GF(2).

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Published In

cover image Guide Proceedings
Theoretical Aspects of Computing – ICTAC 2024: 21st International Colloquium, Bangkok, Thailand, November 25–29, 2024, Proceedings
Nov 2024
416 pages
ISBN:978-3-031-77018-0
DOI:10.1007/978-3-031-77019-7

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 25 November 2024

Author Tags

  1. Ramsey theorem
  2. Mechanized proof
  3. Symbolic computation
  4. Complete graph
  5. Combinatorial geometry

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