Title
Dual Proof Generation For Quantified Boolean Formulas With A Bdd-Based Solver
Abstract
Existing proof-generating quantified Boolean formula (QBF) solvers must construct a different type of proof depending on whether the formula is false (refutation) or true (satisfaction). We show that a QBF solver based on ordered binary decision diagrams (BDDs) can emit a single dual proof as it operates, supporting either outcome. This form consists of a sequence of equivalence-preserving clause addition and deletion steps in an extended resolution framework. For a false formula, the proof terminates with the empty clause, indicating conflict. For a true one, it terminates with all clauses deleted, indicating tautology. Both the length of the proof and the time required to check it are proportional to the total number of BDD operations performed. We evaluate our solver using a scalable benchmark based on a two-player tiling game.
Year
DOI
Venue
2021
10.1007/978-3-030-79876-5_25
AUTOMATED DEDUCTION, CADE 28
DocType
Volume
ISSN
Conference
12699
0302-9743
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Randal E. Bryant192041194.64
Marijn J. H. Heule260549.51