A Graph Calculus for Predicate Logic

Autor: Paulo A. S. Veloso, Sheila R. M. Veloso
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Electronic Proceedings in Theoretical Computer Science, Vol 113, Iss Proc. LSFA 2012, Pp 153-168 (2013)
Druh dokumentu: article
ISSN: 2075-2180
DOI: 10.4204/EPTCS.113.15
Popis: 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).
Databáze: Directory of Open Access Journals