Quantitative program logic and expected time bounds in probabilistic distributed algorithms

A.K. McIver
2002 Theoretical Computer Science  
In this paper we show how quantitative program logic (Morgan et al., ACM Trans. Programming Languages Systems 18 (1996) 325) provides a formal framework in which to promote standard techniques of program analysis to a context where probability and nondeterminism interact, a situation common to probabilistic distributed algorithms. We show that overall expected time can be formulated directly in the logic and that it can be derived from local properties of components. We illustrate the methods
more » ... th an analysis of expected running time of the probabilistic dining philosophers (Lehmann and Ravin,
doi:10.1016/s0304-3975(01)00049-4 fatcat:mncofranmbgvjksnmifadv3csa