Quantitative analysis of probabilistic pushdown automata: Expectations and variances - (Extended abstract)

被引:0
作者
Esparza, J [1 ]
Kucera, A [1 ]
Mayr, R [1 ]
机构
[1] Univ Stuttgart, Inst Formal Methods Comp Sci, D-70569 Stuttgart, Germany
来源
LICS 2005: 20TH ANNUAL IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE - PROCEEDINGS | 2005年
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Probabilistic pushdown automata (pPDA) have been identified as a natural model for probabilistic programs with recursive procedure calls. Previous works considered the decidability and complexity of the model-checking problem for pPDA and various probabilistic temporal logics. In this paper we concentrate on computing the expected values and variances of various random variables defined over runs of a given probabilistic pushdown automaton. In particular, we show how to compute the expected accumulated reward and the expected gain for certain classes of reward functions. Using these results, we show how to analyze various quantitative properties of pPDA that are not expressible in conventional probabilistic temporal logics.
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收藏
页码:117 / 126
页数:10
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    Esparza, J
    Kucera, A
    Mayr, R
    [J]. 19TH ANNUAL IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE, PROCEEDINGS, 2004, : 12 - 21