volume computation for boolean combination of linear arithmetic constraints
文献类型：会议论文
| 作者 | Ma Feifei ; Liu Sheng ; Zhang Jian |
| 出版日期 | 2009 |
| 会议名称 | 22nd International Conference on Automated Deduction (CADE-22) |
| 会议日期 | AUG 02-07, |
| 会议地点 | Montreal, CANADA |
| 关键词 | Automation Boolean functions Formal logic Learning algorithms Topology |
| 英文摘要 | There are many works on the satisfiability problem for various logics and constraint languages, such as SAT and Satisfiability Modulo Theories (SMT). On the other hand, the counting version of decision problems is also quite important in automated reasoning. In this paper, we study a counting version of SMT, i.e., how to compute the volume of the solution space, given a set of Boolean combinations of linear constraints. The problem generalizes the model counting problem and the volume computation problem for convex polytopes. It has potential applications to program analysis and verification, as well as approximate reasoning, yet it has received little attention. We first give a straightforward method, and then propose an improved algorithm. We also describe two ways of incorporating theory-level lemma learning technique into the algorithm. They have been implemented, and some experimental results are given. Through an example program, we show that our tool can be used to compute how often a given program path is executed. |
| 会议主办者 | McGill Univ, Sch Comp Sci, McGill Univ,Fac Sci, Microsoft Res |
| 会议录 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
 |
| 会议录出版者 | AUTOMATED DEDUCTION - CADE-22 |
| 会议录出版地 | HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY |
| ISSN号 | 0302-9743 |
| ISBN号 | 978-3-642-02958-5 |
| 源URL | [http://124.16.136.157/handle/311060/8316]  |
| 专题 | 软件研究所_计算机科学国家重点实验室 _会议论文 |
| 推荐引用方式 GB/T 7714 | Ma Feifei,Liu Sheng,Zhang Jian. volume computation for boolean combination of linear arithmetic constraints[C]. 见:22nd International Conference on Automated Deduction (CADE-22). Montreal, CANADA. AUG 02-07,. |
入库方式： OAI收割
来源：软件研究所
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