cs.LOMar 2, 2026

Bound Propagation meets Constraint Simplification: Improving Logic-based XAI for Neural Networks

Authors: Ronaldo Gomes, Jairo Ribeiro, Luiz Queiroz, Thiago Alves Rocha

Organizations: Department of Computer Science, Instituto Federal do Ceará (IFCE), Maracanaú, Brazil

Abstract

Logic-based methods for explaining neural network decisions offer formal guarantees of correctness and non-redundancy, but they often suffer from high computational costs, especially for large networks. In this work, we improve the efficiency of such methods by combining bound propagation with constraint simplification. These simplifications, derived from the propagation, tighten neuron bounds and eliminate unnecessary binary variables, making the explanation process more efficient. Our experiments suggest that combining these techniques reduces explanation time by up to 89.26%, particularly for larger neural networks.

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