Structural operational semantics for non-deterministic processes with quantitative aspects

详细信息    查看全文

• 作者：Marino Miculan¹ ; ^{marino.miculan@uniud.it} ; Marco Peressotti ; ^{marco.peressotti@uniud.it}
• 关键词：Rule formats ; Behavioural congruences ; Quantitative models
• 刊名：Theoretical Computer Science
• 出版年：2016
• 出版时间：6 December 2016
• 年：2016
• 卷：655
• 期：part_PB
• 页码：135-154
• 全文大小：677 K
• 卷排序：655

文摘

Recently, unifying theories for processes combining non-determinism with quantitative aspects (such as probabilistic or stochastically timed executions) have been proposed with the aim of providing general results and tools. This paper provides two contributions in this respect. First, we present a general GSOS specification format and a corresponding notion of bisimulation for non-deterministic processes with quantitative aspects. These specifications define labelled transition systems according to the ULTraS model, an extension of the usual LTSs where the transition relation associates any source state and transition label with state reachability weight functions (like, e.g., probability distributions). This format, hence called Weight Function GSOS (WF-GSOS), covers many known systems and their bisimulations (e.g. PEPA, TIPP, PCSP) and GSOS formats (e.g. GSOS, Weighted GSOS, Segala-GSOS).The second contribution is a characterization of these systems as coalgebras of a class of functors, parametric in the weight structure. This result allows us to prove soundness and completeness of the WF-GSOS specification format, and that bisimilarities induced by these specifications are always congruences.