Graph theory characterizes BVA reencodings, proving any 2-CNF on n variables can be reduced to roughly 0.396 n²/lg n clauses with minor extra steps and that at-most-one needs at least 3n-6 clauses.
Since randomness is involved, all our results, both for clauses, variables, and runtimes, are averaged over 5 independent trials
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Automated Reencoding Meets Graph Theory
Graph theory characterizes BVA reencodings, proving any 2-CNF on n variables can be reduced to roughly 0.396 n²/lg n clauses with minor extra steps and that at-most-one needs at least 3n-6 clauses.