A Concise Introduction to Mathematical Logic by Wolfgang Rautenberg
Author:Wolfgang Rautenberg
Language: eng
Format: epub, pdf
Publisher: Springer New York, New York, NY
The leaves of this tree are all occupied by clauses in . It should be clear that an arbitrary clause H belongs to the resolution closure of a set of clauses just when there exists a resolution tree with leaves in and root H. A resolution tree with leaves in and the root as shown in the figure on the left for is called a resolution for , or more precisely, a successful resolution for . Thus, because of , the set of clauses is unsatisfiable, and hence so is the conjunctive normal form that corresponds to the set , namely the formula
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