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| volume computation for boolean combination of linear arithmetic constraints | |
| Ma Feifei; Liu Sheng; Zhang Jian | |
| 2009 | |
| Conference Name | 22nd International Conference on Automated Deduction (CADE-22) |
| Source | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
| Conference Date | AUG 02-07, |
| Conference Place | Montreal, CANADA |
| Publish Place | HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY |
| Publisher | AUTOMATED DEDUCTION - CADE-22 |
| ISSN | 0302-9743 |
| ISBN | 978-3-642-02958-5 |
| Department | Ma, Feifei; Liu, Sheng; Zhang, Jian Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing 100864, Peoples R China. |
| English Abstract | 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. |
| Keyword | Automation Boolean Functions Formal Logic Learning Algorithms Topology |
| Sponsorship | McGill Univ, Sch Comp Sci, McGill Univ,Fac Sci, Microsoft Res |
| Content Type | 会议论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/8316 |
| Collection | 基础软件与系统重点实验室 |
| Recommended Citation GB/T 7714 | Ma Feifei,Liu Sheng,Zhang Jian. volume computation for boolean combination of linear arithmetic constraints[C]. HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY:AUTOMATED DEDUCTION - CADE-22,2009. |
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