A Graph Calculus for Predicate Logic

Paulo A. S. Veloso
Sheila R. M. Veloso

We introduce a refutation graph calculus for classical first-order predicate logic, which is an extension of previous ones for binary relations. One reduces logical consequence to establishing that a constructed graph has empty extension, i. e. it represents bottom. Our calculus establishes that a graph has empty extension by converting it to a normal form, which is expanded to other graphs until we can recognize conflicting situations (equivalent to a formula and its negation).

In Delia Kesner and Petrucio Viana: Proceedings Seventh Workshop on Logical and Semantic Frameworks, with Applications (LSFA 2012), Rio de Janeiro, Brazil, September 29-30, 2012, Electronic Proceedings in Theoretical Computer Science 113, pp. 153–168.
Published: 28th March 2013.

ArXived at: https://dx.doi.org/10.4204/EPTCS.113.15 bibtex PDF
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