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Solving the Satisfiability Problem Through Boolean Networks

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AI*IA 99: Advances in Artificial Intelligence (AI*IA 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1792))

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Abstract

In this paper we present a new approach to solve the satisfiability problem (SAT), based on boolean networks (BN). We define a mapping between a SAT instance and a BN, and we solve SAT problem by simulating the BN dynamics. We prove that BN fixed points correspond to the SAT solutions. The mapping presented allows to develop a new class of algorithms to solve SAT. Moreover, this new approach suggests new ways to combine symbolic and connectionist computation and provides a general framework for local search algorithms.

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© 2000 Springer-Verlag Berlin Heidelberg

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Milano, M., Roli, A. (2000). Solving the Satisfiability Problem Through Boolean Networks. In: Lamma, E., Mello, P. (eds) AI*IA 99: Advances in Artificial Intelligence. AI*IA 1999. Lecture Notes in Computer Science(), vol 1792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46238-4_7

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  • DOI: https://doi.org/10.1007/3-540-46238-4_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67350-7

  • Online ISBN: 978-3-540-46238-5

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