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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 28 / No. 1: Twenty-Eighth AAAI Conference On Artificial Intelligence

Relaxation Search: A Simple Way of Managing Optional Clauses

March 8, 2023

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Authors

Fahiem Bacchus

University of Toronto


Jessica Davies

University of Toronto


Maria Tsimpoukelli

University of Toronto


George Katsirelos

MIAT, INRA Toulouse


DOI:

10.1609/aaai.v28i1.8849


Abstract:

A number of problems involve managing a set of optional clauses. For example, the soft clauses in a MAXSAT formula are optional—they can be falsified for a cost. Similarly, when computing a Minimum Correction Set for an unsatisfiable formula, all clauses are optional—some can be falsified in order to satisfy the remaining. In both of these cases the task is to find a subset of the optional clauses that achieves some criteria, and whose removal leaves a satisfiable formula. Relaxation search is a simple method of using a standard SAT solver to solve this task. Relaxation search is easy to implement, sometimes requiring only a simple modification of the variable selection heuristic in the SAT solver; it offers considerable flexibility and control over the order in which subsets of optional clauses are examined; and it automatically exploits clause learning to exchange information between the two phases of finding a suitable subset of optional clauses and checking if their removal yields satisfiability. We demonstrate how relaxation search can be used to solve MAXSAT and to compute Minimum Correction Sets. In both cases relaxation search is able to achieve state-of-the-art performance and solve some instances other solvers are not able to solve.

Topics: AAAI

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HOW TO CITE:

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos Relaxation Search: A Simple Way of Managing Optional Clauses Proceedings of the AAAI Conference on Artificial Intelligence, 28 (2014) .

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos Relaxation Search: A Simple Way of Managing Optional Clauses AAAI 2014, .

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos (2014). Relaxation Search: A Simple Way of Managing Optional Clauses. Proceedings of the AAAI Conference on Artificial Intelligence, 28, .

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos. Relaxation Search: A Simple Way of Managing Optional Clauses. Proceedings of the AAAI Conference on Artificial Intelligence, 28 2014 p..

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos. 2014. Relaxation Search: A Simple Way of Managing Optional Clauses. "Proceedings of the AAAI Conference on Artificial Intelligence, 28". .

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos. (2014) "Relaxation Search: A Simple Way of Managing Optional Clauses", Proceedings of the AAAI Conference on Artificial Intelligence, 28, p.

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos, "Relaxation Search: A Simple Way of Managing Optional Clauses", AAAI, p., 2014.

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos. "Relaxation Search: A Simple Way of Managing Optional Clauses". Proceedings of the AAAI Conference on Artificial Intelligence, 28, 2014, p..

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos. "Relaxation Search: A Simple Way of Managing Optional Clauses". Proceedings of the AAAI Conference on Artificial Intelligence, 28, (2014): .

Fahiem Bacchus|| Jessica Davies|| Maria Tsimpoukelli|| George Katsirelos. Relaxation Search: A Simple Way of Managing Optional Clauses. AAAI[Internet]. 2014[cited 2023]; .


ISSN: 2374-3468


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