## Undecidable Verification Problems for Programs with Unreliable Channels (1994)

Venue: | Information and Computation |

Citations: | 59 - 11 self |

### BibTeX

@ARTICLE{Abdulla94undecidableverification,

author = {Parosh Aziz Abdulla and Bengt Jonsson},

title = {Undecidable Verification Problems for Programs with Unreliable Channels},

journal = {Information and Computation},

year = {1994},

volume = {130},

pages = {316--327}

}

### Years of Citing Articles

### OpenURL

### Abstract

We consider the verification of a particular class of infinite-state systems, namely systems consisting of finite-state processes that communicate via unbounded lossy FIFO channels. This class is able to model e.g. link protocols such as the Alternating Bit Protocol and HDLC. In an earlier paper, we showed that the problems of checking reachability, safety properties, and eventuality properties are decidable for this class of systems. In this paper, we show that the following problems are undecidable, namely ffl The model checking problem in propositional temporal logics such as Propositional Linear Time Temporal Logic (PTL) and Computation Tree Logic (CTL). ffl The problem of deciding eventuality properties with fair channels: do all computations eventually reach a given set of states if the unreliable channels satisfy fairness assumptions. The results are obtained through a reduction from a variant of Post's Correspondence Problem. This research report is a revised and extended ...

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