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A comparison of reductions from FACT to CNF-SAT
KTH, School of Computer Science and Communication (CSC).
KTH, School of Computer Science and Communication (CSC).
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The integer factorisation problem (FACT) is a well-known number-theoreticproblem, with many applications in areas such as cryptography. An instanceof a FACT problem (a number n such that n = p × q) can be reduced to aninstance of the conjunctive normal form boolean satisfiability problem (CNF-SAT), a well-known NP-complete problem. Some applications of this is toutilize advances in SAT solving for solving FACT, and for creating difficultCNF-SAT instances.This report compares four different reductions from FACT to CNF-SAT,based on the full adder, array multiplier and Wallace tree multiplier circuits.The comparisons were done by reducing a set of FACT instances to CNF-SATinstances with the different reductions. The resulting CNF-SAT instanceswere then compared with respect to the number of clauses and variables, aswell as the time taken to solve the instances with the SAT solver MiniSat.

Place, publisher, year, edition, pages
National Category
Computer Engineering
URN: urn:nbn:se:kth:diva-145983OAI: diva2:721407
Subject / course
Computer Science
Educational program
Bachelor of Science in Engineering - Computer Engineering
Available from: 2015-05-28 Created: 2014-06-04 Last updated: 2015-05-28Bibliographically approved

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Eriksson, JohnHöglund, Jonas
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