theoretical-computer-science / Computational Complexity, Closure Systems

Completeness of Canonical Closure Representations Is coNP-Complete

A finite closure system can be given by implications or by a list of subsets closed under intersection. Deciding whether one specification of each kind defines the same family had remained open in several settings; the paper proves the problem coNP-complete.

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theoretical-computer-scienceJul 20, 2026Significance 15/100Registry: unreviewed

Completeness of Canonical Closure Representations Is coNP-Complete

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A finite closure system can be given by implications or by a list of subsets closed under intersection. Deciding whether one specification of each kind defines the same family had remained open in several settings; the paper proves the problem coNP-complete.

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A finite closure system can be given by implications or by a list of subsets closed under intersection. Deciding whether one specification of each kind defines the same family had remained open in several settings; the paper proves the problem coNP-complete.

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