由于多栈的模型图灵等价,因此,通用的异步通信程序模型的验证问题不可判定.为此,基于Petri网,提出了一个新的模型通信——通信Petri网,对异步通信程序进行刻画.通过对输入通信进行k-型限制以及对每个栈进行基于正则语言泵引理的抽象,通过将这样限制下的模型编码到数据Petri网,证明了限制下的新模型可覆盖性可判定.
Since multi-stack models are generally Turing-complete, verification problems on general models for asynchronous communication programs are undecidable. This paper proposes a new model based Petri net, named communication Petri nets(C-Petri nets) to model asynchronous communication programs. Applying the k-shaped restriction on the input communications and the abstraction on each stack based on popping lemma of regular languages, the coverability problem of the restricted C-Petri net is decidable by encoding the model to data Petri nets.