2006 | OriginalPaper | Chapter
On the Fixpoint Theory of Equality and Its Applications
Authors : Andrzej Szałas, Jerzy Tyszkiewicz
Published in: Relations and Kleene Algebra in Computer Science
Publisher: Springer Berlin Heidelberg
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In the current paper we first show that the fixpoint theory of equality is decidable. The motivation behind considering this theory is that second-order quantifier elimination techniques based on a theorem given in [16], when successful, often result in such formulas. This opens many applications, including automated theorem proving, static verification of integrity constraints in databases as well as reasoning with weakest sufficient and strongest necessary conditions.