Knowledge compilation languages as proof systems

March 10, 2019 ยท The Ethereal ยท ๐Ÿ› International Conference on Theory and Applications of Satisfiability Testing

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Florent Capelli arXiv ID 1903.04039 Category cs.CC: Computational Complexity Cross-listed cs.AI Citations 13 Venue International Conference on Theory and Applications of Satisfiability Testing Last Checked 6 months ago
Abstract
In this paper, we study proof systems in the sense of Cook-Reckhow for problems that are higher in the polynomial hierarchy than coNP, in particular, #SAT and maxSAT. We start by explaining how the notion of Cook-Reckhow proof systems can be apply to these problems and show how one can twist existing languages in knowledge compilation such as decision DNNF so that they can be seen as proof systems for problems such as #SAT and maxSAT.
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