论文标题

np $^{\#p} $ = $ \存在$ pp和有关最大计数的其他评论

NP$^{\#P}$ = $\exists$PP and other remarks about maximized counting

论文作者

Monniaux, David

论文摘要

我们考虑以下决策问题DMAX#SAT及其概括:给定无量化的命题公式$ f(\ MathBf {x},\ Mathbf {y})$,其中$ \ m athbf {x}},\ m mathbf {y}是$ b $ $ b $ $ b $ $ b $ $ b $ $ \#\ {\ Mathbf {y} \ mid f(\ Mathbf {X},\ Mathbf {y})\} \ geq b $。这是Max#SAT问题的决策版:查找$ \ Mathbf {x} $和$ b $的最大$ b $。

We consider the following decision problem DMAX#SAT, and generalizations thereof: given a quantifier-free propositional formula $F(\mathbf{x},\mathbf{y})$, where $\mathbf{x},\mathbf{y}$ are tuples of variables, and a bound $B$, determine if there is $\vec{x}$ such that $\#\{\mathbf{y} \mid F(\mathbf{x},\mathbf{y})\} \geq B$. This is the decision version of the problem of MAX#SAT: finding $\mathbf{x}$ and $B$ for maximal $B$.

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