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This research introduces lookahead branching strategies as a general optimization technique for branch-and-bound neural network verifiers, significantly accelerating verification times by up to 57% through improved decision quality and generated lemmas. By integrating this method into tools like Marabou and $\alpha$-$\beta$-CROWN, the work advances the efficiency of formal guarantees required for deploying robust AI systems in safety-critical applications.
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Lookahead Branching for Neural Network Verification

arXiv2 min read

arXiv:2607.17290v1 Announce Type: cross Abstract: In this work, we investigate the effect of lookahead branching strategies in neural network verification. We present a general recipe to integrate lookahead into any branch-and-bound verifier and demonstrate how one of the current state-of-the-art branching heuristics, FSB, can be viewed as a special instantiation of the lookahead branching strategy. We also describe how, in addition to improving the quality of branching decisions, lookahead can generate additional lemmas that accelerate verification. We instantiate the method in two representative branch-and-bound-based verifiers (Marabou and $\alpha$-$\beta$-CROWN), and demonstrate that lookahead leads to consistent speedups in verification time and up to $57\%$ more solved instances. Code is available at https://github.com/ai-ar-research/lookahead-branching.

Abstract: In this work, we investigate the effect of lookahead branching strategies in neural network verification. We present a general recipe to integrate lookahead into any branch-and-bound verifier and demonstrate how one of the current state-of-the-art branching heuristics, FSB, can be viewed as a special instantiation of the lookahead branching strategy. We also describe how, in addition to improving the quality of branching decisions, lookahead can generate additional lemmas that accelerate verification. We instantiate the method in two representative branch-and-bound-based verifiers (Marabou and $\alpha$-$\beta$-CROWN), and demonstrate that lookahead leads to consistent speedups in verification time and up to $57\%$ more solved instances. Code is available at this https URL.

Accepted to IJCAI 2026. Lookahead branching is part of the Marabou and $\alpha$-$\beta$-CROWN verifiers

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO)

arXiv:2607.17290 [cs.LG]

(or arXiv:2607.17290v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.17290 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 225 words

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