Abstract
Efficient state-of-the-art answer-set solvers are two-phased: first grounding the input program, then applying search based on conflict-driven nogood learning (CDNL). The latter provides superior search performance but the former causes exponential memory requirements for many ASP programs. Lazy-grounding avoids this grounding bottleneck but exhibits poor search performance. The approach here aims for the best of both worlds: grounding and solving are interleaved, but there is a solving component distinct from the grounding component. The solving component works on (ground) nogoods, employs conflict-driven first-UIP learning and enables heuristics. Guessing is on atoms that represent applicable rules, atoms may be one of true, false, or must-be-true, and nogoods have a distinguished head literal. The lazy-grounding component is loosely coupled to the solver and may yield more ground instances than necessary, which avoids re-grounding whenever the solver moves from one search branch to another. The approach is implemented in the new ASP solver Alpha.
This research has been funded by the Austrian Science Fund (FWF): P27730.
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References
Alviano, M., Dodaro, C., Faber, W., Leone, N., Ricca, F.: WASP: a native ASP solver based on constraint learning. In: Cabalar, P., Son, T.C. (eds.) LPNMR 2013. LNCS (LNAI), vol. 8148, pp. 54–66. Springer, Heidelberg (2013). doi:10.1007/978-3-642-40564-8_6
Balduccini, M., Lierler, Y., Schüller, P.: Prolog and ASP inference under one roof. In: Cabalar, P., Son, T.C. (eds.) LPNMR 2013. LNCS (LNAI), vol. 8148, pp. 148–160. Springer, Heidelberg (2013). doi:10.1007/978-3-642-40564-8_15
Calimeri, F., Fuscà, D., Perri, S., Zangari, J.: I-DLV: the new intelligent grounder of DLV. In: AI*IA, pp. 192–207 (2016)
Dao-Tran, M., Eiter, T., Fink, M., Weidinger, G., Weinzierl, A.: OMiGA : an open minded grounding on-the-fly answer set solver. In: Cerro, L.F., Herzig, A., Mengin, J. (eds.) JELIA 2012. LNCS (LNAI), vol. 7519, pp. 480–483. Springer, Heidelberg (2012). doi:10.1007/978-3-642-33353-8_38
Dovier, A., Formisano, A., Pontelli, E., Vella, F.: A GPU implementation of the ASP computation. In: Gavanelli, M., Reppy, J. (eds.) PADL 2016. LNCS, vol. 9585, pp. 30–47. Springer, Cham (2016). doi:10.1007/978-3-319-28228-2_3
Gebser, M., Kaminski, R., Kaufmann, B., Ostrowski, M., Schaub, T., Thiele, S.: Engineering an incremental ASP solver. In: Garcia de la Banda, M., Pontelli, E. (eds.) ICLP 2008. LNCS, vol. 5366, pp. 190–205. Springer, Heidelberg (2008). doi:10.1007/978-3-540-89982-2_23
Gebser, M., Kaufmann, B., Neumann, A., Schaub, T.: clasp: a conflict-driven answer set solver. In: Baral, C., Brewka, G., Schlipf, J. (eds.) LPNMR 2007. LNCS, vol. 4483, pp. 260–265. Springer, Heidelberg (2007). doi:10.1007/978-3-540-72200-7_23
Gebser, M., Kaufmann, B., Neumann, A., Schaub, T.: Conflict-driven answer set enumeration. In: Baral, C., Brewka, G., Schlipf, J. (eds.) LPNMR 2007. LNCS (LNAI), vol. 4483, pp. 136–148. Springer, Heidelberg (2007). doi:10.1007/978-3-540-72200-7_13
Gebser, M., Kaufmann, B., Schaub, T.: Conflict-driven answer set solving: from theory to practice. Artif. Intell. 187, 52–89 (2012)
Gebser, M., Ostrowski, M., Schaub, T.: Constraint answer set solving. In: Hill, P.M., Warren, D.S. (eds.) ICLP 2009. LNCS, vol. 5649, pp. 235–249. Springer, Heidelberg (2009). doi:10.1007/978-3-642-02846-5_22
Lefèvre, C., Beatrix, C., Stephan, I., Garcia, L.: Asperix, a first-order forward chaining approach for answer set computing. TPLP 17(3), 266–310 (2017)
Lefèvre, C., Nicolas, P.: A first order forward chaining approach for answer set computing. In: Erdem, E., Lin, F., Schaub, T. (eds.) LPNMR 2009. LNCS (LNAI), vol. 5753, pp. 196–208. Springer, Heidelberg (2009). doi:10.1007/978-3-642-04238-6_18
Lefèvre, C., Nicolas, P.: The first version of a new ASP solver : ASPeRiX. In: Erdem, E., Lin, F., Schaub, T. (eds.) LPNMR 2009. LNCS (LNAI), vol. 5753, pp. 522–527. Springer, Heidelberg (2009). doi:10.1007/978-3-642-04238-6_52
Leone, N., Pfeifer, G., Faber, W., Eiter, T., Gottlob, G., Perri, S., Scarcello, F.: The DLV system for knowledge representation and reasoning. ACM Trans. Comput. Logic 7, 499–562 (2002)
Palù, A.D., Dovier, A., Pontelli, E., Rossi, G.: Gasp: answer set programming with lazy grounding. Fundam. Inform. 96(3), 297–322 (2009)
Teppan, E.C., Friedrich, G.: Heuristic constraint answer set programming. In: ECAI. FAIA, vol. 285, pp. 1692–1693. IOS Press (2016)
Weinzierl, A.: Learning non-ground rules for answer-set solving. In: Grounding and Transformation for Theories with Variables, pp. 25–37 (2013)
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Weinzierl, A. (2017). Blending Lazy-Grounding and CDNL Search for Answer-Set Solving. In: Balduccini, M., Janhunen, T. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 2017. Lecture Notes in Computer Science(), vol 10377. Springer, Cham. https://doi.org/10.1007/978-3-319-61660-5_17
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