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On the Computational Complexity of Some Classical Equivalence Relations on Boolean Functions

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The paper analyzes in terms of polynomial time many-one reductions the computational complexity of several natural equivalence relations on Boolean functions which derive from replacing variables by expressions, one of them is the Boolean isomorphism relation. Most of these computational problems turn out to be between co-NP and \(\Sigma\) p 2 .

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Received July 1996, and in final form March 1998.

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Borchert, B., Ranjan, D. & Stephan, F. On the Computational Complexity of Some Classical Equivalence Relations on Boolean Functions . Theory Comput. Systems 31, 679–693 (1998). https://doi.org/10.1007/s002240000109

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  • DOI: https://doi.org/10.1007/s002240000109

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