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arXiv · 2406.16515

An FPRAS for Model Counting for Non-Deterministic Read-Once Branching Programs

Kuldeep S. Meel·Alexis de Colnet
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Abstract

Non-deterministic read-once branching programs, also known as non-deterministic free binary decision diagrams (nFBDD), are a fundamental data structure in computer science for representing Boolean functions. In this paper, we focus on #nFBDD, the problem of model counting for non-deterministic read-once branching programs. The #nFBDD problem is #P-hard, and it is known that there exists a quasi-polynomial randomized approximation scheme for #nFBDD. In this paper, we provide the first FPRAS for #nFBDD. Our result relies on the introduction of new analysis techniques that focus on bounding the dependence of samples.

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Kuldeep S. Meel, Alexis de Colnet. 2025-12-02. An FPRAS for Model Counting for Non-Deterministic Read-Once Branching Programs. https://arxiv.org/abs/2406.16515

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