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Erschienen in:
2008 | OriginalPaper | Buchkapitel
An Algorithmic Study of Deduction in Simple Conceptual Graphs with Classical Negation
verfasst von : Michel Leclère, Marie-Laure Mugnier
Erschienen in: Conceptual Structures: Knowledge Visualization and Reasoning
Verlag: Springer Berlin Heidelberg
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Polarized conceptual graphs (PGs) are simple conceptual graphs added with a restricted form of negation, namely negation on relations. Classical deduction with PGs (in short PG-Deduction) is highly intractable; it is indeed
${\Pi}^2_P$
complete. In [LM06] a brute-force algorithm for solving PG-Deduction was outlined. In the present paper, we extend previous work with two kinds of results. First, we exhibit particular cases of PGs for which the complexity of PG-Deduction decreases and becomes not more difficult than in simple conceptual graphs. Secondly, we improve the brute-force algorithm with several kinds of techniques based on properties concerning the graph structure and the labels.