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Reachability problems for cyclic protocols

Hong Liu, Raymond E. Miller

Open publisher page 5 citations

Abstract

We study three reachability problems for cyclic protocols: (1) global state reachability; (2) abstract state reachability; and (3) execution cycle reachability. By combining fair progress and maximal progress during state exploration, we prove that these three problems an all decidable for Q, the class of cyclic protocols with finite fair reachable state spaces. In the course of the investigation, we also show that detection of k-indefiniteness and k-livelock an decidable for Q.

About this research paper

What this paper is about

We study three reachability problems for cyclic protocols: (1) global state reachability; (2) abstract state reachability; and (3) execution cycle reachability. By combining fair progress and maximal progress during state exploration, we prove that these three problems an all decidable for Q, the class of cyclic protocols with finite fair reachable state spaces. In the course of the investigation, we also show that detection of k-indefiniteness and k-livelock an decidable for Q.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We study three reachability problems for cyclic protocols: (1) global state reachability; (2) abstract state reachability; and (3) execution cycle reachability. By combining fair progress and maximal progress during state exploration, we prove that these three problems an all decidable for Q, the class of cyclic protocols with finite fair reachable state spaces. In the course of the investigation, we also show that detection of k-indefiniteness and k-livelock an decidable for Q.

Key concepts: Reachability, Decidability, Computer science, Reachability problem, Class (philosophy), State (computer science), Theoretical computer science, Discrete mathematics

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