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An exponential lower bound for a constraint propagation proof system based on ordered binary decision diagrams

Published online by Cambridge University Press:  12 March 2014

Jan Krajíček
Jan Krajíček*
Affiliation:
Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, Prague, 115 67, The, Czech Republic, E-mail: krajicek@math.cas.cz
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Abstract

We prove an exponential lower bound on the size of proofs in the proof system operating with ordered binary decision diagrams introduced by Atserias, Kolaitis and Vardi [2]. In fact, the lower bound applies to semantic derivations operating with sets defined by OBDDs. We do not assume any particular format of proofs or ordering of variables, the hard formulas are in CNF. We utilize (somewhat indirectly) feasible interpolation.

We define a proof system combining resolution and the OBDD proof system.

Keywords

Proof complexityOBDDconstraint propagationfeasible interpolation
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 1 , March 2008 , pp. 227 - 237
Copyright
Copyright © Association for Symbolic Logic 2008

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