Horn公式等价问题的复杂性

Pub Date : 2022-04-29 DOI:10.1007/s10469-022-09665-z

N. T. Kogabaev

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引用次数: 1

摘要

我们研究了与给定句子等价的Horn句子（同一性、准同一性，∀-句子，∃-语句）存在性问题的复杂性。证明了如果签名包含至少一个arity k≥2的符号，则所提到的每个问题都是m-完全\（｛\ Sigma｝_1^0\）集。

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Complexity of the Problem of Being Equivalent to Horn Formulas

We look at the complexity of the existence problem for a Horn sentence (identity, quasi-identity, ∀-sentence, ∃-sentence) equivalent to a given one. It is proved that if the signature contains at least one symbol of arity k ≥ 2, then each of the problems mentioned is an m-complete \( {\Sigma}_1^0 \) set.

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