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The there exists*for all* Part of the Theory of Ground Term Algebra Modulo an AC Symbol is Undecidable
Authors:Jerzy Marcinkowski
Affiliation:Institute of Computer Science, University of WrocImage aw, ul. Przesmyckiego 20, WrocImage aw, 51-165, Polandf1
Abstract:We show that the there exists*for all* part of the equational theory modulo an AC symbol is undecidable. This solves the open problem 25 from the RTA list. We show that this result holds also for the equational theory modulo an ACI symbol.
Keywords:Abbreviations: unificationAbbreviations: equational theoriesAbbreviations: decidability
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