Abstract
Heterogeneous nonmonotonic multi-context systems (MCS) permit different logics to be used in different contexts, and link them via bridge rules. We investigate the role of symmetry detection and symmetry breaking in such systems to eliminate symmetric parts of the search space and, thereby, simplify the evaluation process. We propose a distributed algorithm that takes a local stance, i.e., computes independently the partial symmetries of a context and, in order to construct potential symmetries of the whole, combines them with those partial symmetries returned by neighbouring contexts. We prove the correctness of our methods. We instantiate such symmetry detection and symmetry breaking in a multi-context system with contexts that use answer set programs, and demonstrate computational benefit on some recently proposed benchmarks.
This research has been supported by the Austrian Science Fund project P20841 and by the Vienna Science and Technology Fund project ICT 08-020. NICTA is funded by the Department of Broadband, Communications and the Digital Economy, and the Australian Research Council.
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Drescher, C., Eiter, T., Fink, M., Krennwallner, T., Walsh, T. (2011). Symmetry Breaking for Distributed Multi-Context Systems. In: Delgrande, J.P., Faber, W. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 2011. Lecture Notes in Computer Science(), vol 6645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20895-9_5
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DOI: https://doi.org/10.1007/978-3-642-20895-9_5
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