Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Too much information: CDCL solvers need to forget and perform restarts   Conflict-driven clause learning (CDCL) is a remarkably successful paradigm
for solving the satisfiability problem of propositional logic. Instead of a
simple depth-first backtracking approach, this kind of solver learns the reason
behind occurring conflicts in the form of additional clauses. However, despite
the enormous success of CDCL solvers, there is still only a shallow
understanding of what influences the performance of these solvers in what way.
  This paper will demonstrate, quite surprisingly, that clause learning
(without being able to get rid of some clauses) can not only improve the
runtime but can oftentimes deteriorate it dramatically. By conducting extensive
empirical analysis, we find that the runtime distributions of CDCL solvers are
multimodal. This multimodality can be seen as a reason for the deterioration
phenomenon described above. Simultaneously, it also gives an indication of why
clause learning in combination with clause deletion and restarts is virtually
the de facto standard of SAT solving in spite of this phenomenon. As a final
contribution, we will show that Weibull mixture distributions can accurately
describe the multimodal distributions. Thus, adding new clauses to a base
instance has an inherent effect of making runtimes long-tailed. This insight
provides a theoretical explanation as to why the techniques of restarts and
clause deletion are useful in CDCL solvers.

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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom