Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resolution Simulates Ordered Binary Decision Diagrams for Formulas in
  Conjunctive Normal Form   A classical question of propositional logic is one of the shortest proof of a
tautology. A related fundamental problem is to determine the relative
efficiency of standard proof systems, where the relative complexity is measured
using the notion of polynomial simulation.
  Presently, the state-of-the-art satisfiability algorithms are based on
resolution in combination with search. An Ordered Binary Decision Diagram
(OBDD) is a data structure that is used to represent Boolean functions.
  Groote and Zantema have proved that there is exponential separation between
resolution and a proof system based on limited OBDD derivations. However,
formal comparison of these methods is not straightforward because OBDDs work on
arbitrary formulas, whereas resolution can only be applied to formulas in
Conjunctive Normal Form (CNFs).
  Contrary to popular belief, we argue that resolution simulates OBDDs
polynomially if we limit both to CNFs and thus answer negatively the open
question of Groote and Zantema whether there exist unsatisfiable CNFs having
polynomial OBDD refutations and requiring exponentially long resolution
refutations.

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The categories of this paper are: nlin
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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: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn