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Summary: Optimal Base Encodings for
Pseudo-Boolean Constraints
Michael Codish1
, Yoav Fekete1
, Carsten Fuhs2
, and Peter Schneider-Kamp3
1
Department of Computer Science, Ben Gurion University of the Negev, Israel
2
LuFG Informatik 2, RWTH Aachen University, Germany
3
IMADA, University of Southern Denmark, Denmark
Abstract. This paper formalizes the optimal base problem, presents
an algorithm to solve it, and describes its application to the encod-
ing of Pseudo-Boolean constraints to SAT. We demonstrate the im-
pact of integrating our algorithm within the Pseudo-Boolean constraint
solver MiniSat+
. Experimentation indicates that our algorithm scales
to bases involving numbers up to 1,000,000, improving on the restriction
in MiniSat+
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