Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast Blocked Clause Decomposition with High Quality   Any CNF formula can be decomposed two blocked subsets such that both can be
solved by BCE (Blocked Clause Elimination). To make the decomposition more
useful, one hopes to have the decomposition as unbalanced as possible. It is
often time consuming to achieve this goal. So far there have been several
decomposition and post-processing algorithms such as PureDecompose,
QuickDecompose, EagerMover etc. We found that these existing algorithms are
often either inefficient or low-quality decomposition. This paper aims at
improving the decomposition quality, while keeping the runtime of algorithms
under control. To achieve this goal, we improve the existing BCE, and present
two new variants of PureDecompose, a new heuristic decomposition called
LessInterfereDecompose, and a new post-processing algorithm called
RsetGuidedDecompose. Combining these new techniques results in a new algorithm
called MixDecompose. In our experiments, there is no application formula where
the quality of PureDecompose+EagerMover is better than MixDecompose. In terms
of speed, MixDecompose is also very fast. Our average runtime is a little
longer, but the worst-case runtime is shorter. In theory, our two variants of
PureDecompose requires linear time in the number of clauses. By limiting the
size of the touch list used by BCE, we can guarantee always that MixDecompose
runs in linear time.

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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math