Weighted Pushdown Systems with Indexed Weight Domains [chapter]

Yasuhiko Minamide
2013 Lecture Notes in Computer Science  
The reachability analysis of weighted pushdown systems is a very powerful technique in verification and analysis of recursive programs. Each transition rule of a weighted pushdown system is associated with an element of a bounded semiring representing the weight of the rule. However, we have realized that the restriction of the boundedness is too strict and the formulation of weighted pushdown systems is not general enough for some applications. To generalize weighted pushdown systems, we first
more » ... introduce the notion of stack signatures that summarize the effect of a computation of a pushdown system and formulate pushdown systems as automata over the monoid of stack signatures. We then generalize weighted pushdown systems by introducing semirings indexed by the monoid and weaken the boundedness to local boundedness.
doi:10.1007/978-3-642-36742-7_17 fatcat:bqp5fnhoqfhhbp2p62xp6j4q5q