A DNA-Based Random Walk Method for Solving k-SAT

  • Authors:
  • Sergio Díaz;Juan Luis Esteban;Mitsunori Ogihara

  • Affiliations:
  • -;-;-

  • Venue:
  • DNA '00 Revised Papers from the 6th International Workshop on DNA-Based Computers: DNA Computing
  • Year:
  • 2000

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Abstract

This paper presents an implementation of a concurrent version of Schöning's algorithm for k-SAT in [Sch99]. It is shown that the algorithm can be implemented with space complexity O((2 - 2/k )n) and time complexity O(kmn + n3), where n is the number of variables and m the number of clauses. Besides, borrowing ideas from the above mentioned implementation, it is presented an implementation of resolution, a widely studied and used proof system, mainly in the fields of Proof Complexity and Automated Theorem Proving.