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SAT
2010
Springer

Synthesizing Shortest Linear Straight-Line Programs over GF(2) Using SAT

13 years 7 months ago
Synthesizing Shortest Linear Straight-Line Programs over GF(2) Using SAT
Non-trivial linear straight-line programs over the Galois field of two elements occur frequently in applications such as encryption or high-performance computing. Finding the shortest linear straight-line program for a given set of linear forms is known to be MaxSNP-complete, i.e., there is no ǫ-approximation for the problem unless P = NP. This paper presents a non-approximative approach for finding the shortest linear straight-line program. In other words, we show how to search for a circuit of XOR gates with the minimal number of such gates. The approach is based on a reduction of the associated decision problem (“Is there a program of length k?”) to satisfiability of propositional logic. Using modern SAT solvers, optimal solutions to interesting problem instances can be obtained.
Carsten Fuhs, Peter Schneider-Kamp
Added 16 Aug 2010
Updated 16 Aug 2010
Type Conference
Year 2010
Where SAT
Authors Carsten Fuhs, Peter Schneider-Kamp
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