Abstract

J.F. Sowa has defined a FOL semantics for Simple Conceptual Graphs and proved the soundness of the graph operation called projection with respect to this semantics. M. Chein and M.L. Mugnier have proved the completeness result, with a restriction on the form of the target graph of the projection. I propose here another FOL semantics for Simple Conceptual Graphs corresponding to a slightly different interpretation of a Conceptual Graph. Soundness and completeness of the projection with respect to this semantics are true without any restriction. I extend the definitions and results on both semantics to Conceptual Graphs containing co-reference links and to Nested Conceptual Graphs.KeywordsGeneric NodeDescription GraphConceptual GraphConcept NodeConcept TypeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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