Máquinas de Boltzmann para la resolución del problema de la satisfacibilidad

  1. D'Anjou D'Anjou, Alicia Emilia
  2. Graña Romay, Manuel
  3. Torrealdea Folgado, Francisco Javier
  4. Hernández Gómez, María del Carmen
Journal:
Informática y automática: revista de la Asociación Española de Informática y Automática

ISSN: 0214-932X

Year of publication: 1991

Volume: 24

Issue: 1

Pages: 40-49

Type: Article

More publications in: Informática y automática: revista de la Asociación Española de Informática y Automática

Abstract

Once stated the MAX-SAT problem as an optimization problem, we study the desing of a class of Boltzmann Machines (MB<sub>E</sub>) able to verify the satisfiability (SAT) of an arbitrary propositional expression E. The structure of units and connections of the MB<sub>E</sub> is specified, and the strengths associated with the connections are determined in order to guarantee the desired behavior. Experimental results, gathered through sequential simulation, show a linear behavior against the number of propositions involved, and the insensitivity relative to the size and number of clauses.