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On the complexity of enumerating pseudo-intents

机译:关于枚举伪意图的复杂性

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We investigate whether the pseudo-intents of a given formal context can efficiently be enumerated. We show that they cannot be enumerated in a specified lexicographic order with polynomial delay unless P=NP. Furthermore we show that if the restriction on the order of enumeration is removed, then the problem becomes at least as hard as enumerating minimal transversals of a given hypergraph. We introduce the notion of minimal pseudo-intents and show that recognizing minimal pseudo-intents is polynomial. Despite their less complicated nature, surprisingly it turns out that minimal pseudo-intents cannot be enumerated in output-polynomial time unless P=NP.
机译:我们调查是否可以有效地枚举给定形式上下文的伪意图。我们证明,除非P = NP,否则不能以多项式延迟按指定的字典顺序对它们进行枚举。此外,我们表明,如果消除了对枚举顺序的限制,则问题至少与枚举给定超图的最小横截面一样困难。我们介绍了最小伪意图的概念,并表明识别最小伪意图是多项式。尽管它们的复杂性不太复杂,但令人惊讶的是,除非P = NP,否则无法在输出多项式时间内枚举最小的伪意图。

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