ISSN:
1573-0670
Keywords:
Mechanical theorem proving
;
tableau calculus
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract In this paper we have a closer look at one of the rules of the tableau calculus presented by Fitting [4], called the δ-rule. We prove that a modification of this rule, called the δ+-rule, which uses fewer free variables, is also sound and complete. We examine the relationship between the δ+-rule and variations of the δ-rule presented by Smullyan [9]. This leads to a second proof of the soundness of the δ+-rule. An example shows the relevance of this modification for building tableau-based theorem provers.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00881956
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