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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > ARTHUR–MERLIN CLASSES:
Reports tagged with Arthur–Merlin classes:
TR26-114 | 25th June 2026
Francesco Cristiano

The Complexity Landscape of Boolean Formula Isomorphism: From Graph Isomorphism to the Second Level

This paper studies the isomorphism problem for Boolean formulas and places it precisely in the polynomial hierarchy. Two of its results are new. The first sharpens the relationship between Boolean and graph isomorphism. Chang's reduction shows only that the unrestricted Boolean isomorphism problem is GI-hard, in one direction; restricting both ... more >>>




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