Abstract
We have defined a new formalism, based on Max-SAT, for encoding and solving over-constrained problems. Our formalism is an extension of Boolean CNF formulas in which we deal with blocks of Boolean clauses instead of dealing with individual clauses. Every block, formed by a set of clauses, is declared either as a hard block (i.e., must be satisfied by any solution) or as a soft block (i.e., can be violated by some solution). The idea behind the notion of block is that it encodes a problem constraint (for example, adjacent vertices have different colors); in general, it is not enough a single clause to encode a problem constraint. We call soft CNF formulas to this new kind of formulas.
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© 2005 Springer-Verlag Berlin Heidelberg
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Argelich, J., Manyà, F. (2005). Solving Over-Constrained Problems with SAT. In: van Beek, P. (eds) Principles and Practice of Constraint Programming - CP 2005. CP 2005. Lecture Notes in Computer Science, vol 3709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11564751_76
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DOI: https://doi.org/10.1007/11564751_76
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29238-8
Online ISBN: 978-3-540-32050-0
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