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Minimal Model Counting via Knowledge Compilation

2024/09/16 by Mohimenul Kabir, Kabir, Mohimenul · 3 citations
Computer Science · #Machine Learning and Algorithms #Bayesian Modeling and Causal Inference #Data Stream Mining Techniques

paper · pdf · doi:10.48550/arxiv.2409.10170

Abstract

Counting the number of models of a Boolean formula is a fundamental problem in artificial intelligence and reasoning. Minimal models of a Boolean formula are critical in various reasoning systems, making the counting of minimal models essential for detailed inference tasks. Existing research primarily focused on decision problems related to minimal models. In this work, we extend beyond decision problems to address the challenge of counting minimal models. Specifically, we propose a novel knowledge compilation form that facilitates the efficient counting of minimal models. Our approach leverages the idea of justification and incorporates theories from answer set counting.

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