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Bibliographic Details
Main Authors: Duan, Hongyi, Liu, Haoyang, Zhang, Jian'an, Liu, Fengrui, Wang, Yiyi
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.17622
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Table of Contents:
  • We present a JIT PL semantics for ReLU-type networks that compiles models into a guarded CPWL transducer with shared guards. The system adds hyperplanes only when operands are affine on the current cell, maintains global lower/upper envelopes, and uses a budgeted branch-and-bound. We obtain anytime soundness, exactness on fully refined cells, monotone progress, guard-linear complexity (avoiding global $\binom{k}{2}$), dominance pruning, and decidability under finite refinement. The shared carrier supports region extraction, decision complexes, Jacobians, exact/certified Lipschitz, LP/SOCP robustness, and maximal causal influence. A minimal prototype returns certificates or counterexamples with cost proportional to visited subdomains.