Automating pseudo-boolean inference within a dpll framework
Automating pseudo-boolean inference within a dpll framework
Towards robust CNF encodings of cardinality constraints
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
A constraint satisfaction approach for programmable logic detailed placement
SAT'13 Proceedings of the 16th international conference on Theory and Applications of Satisfiability Testing
Automated reencoding of boolean formulas
HVC'12 Proceedings of the 8th international conference on Hardware and Software: verification and testing
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Despite the semantic simplicity of cardinality constraints, the CNF encodings typically used to solve them invariably turn one constraint into a large number of CNF clauses and/or auxiliary variables. This incurs a significant cost, both in space complexity and in runtime, that could be avoided by reasoning about cardinality constraints directly within a solver. Adding a single, native cardinality constraint instead of numerous clauses and/or auxiliary variables avoids any space overhead and simplifies the solver's procedures for reasoning about that constraint. Inspired by the simple observation that clauses are cardinality constraints themselves, and thus cardinality constraints generalize clauses, this work seeks to answer the question: How much of the research on developing efficient CNF SAT solvers can be applied to solving cardinality constraints?