On the Completeness of Verifying Message Passing Programs Under Bounded Asynchrony

Ahmed Bouajjani 1 Constantin Enea 1 Kailiang Ji 2 Shaz Qadeer 3
2 PI.R2 - Design, study and implementation of languages for proofs and programs
Inria de Paris, CNRS - Centre National de la Recherche Scientifique, UPD7 - Université Paris Diderot - Paris 7, PPS - Preuves, Programmes et Systèmes
Abstract : We address the problem of verifying message passing programs , defined as a set of processes communicating through unbounded FIFO buffers. We introduce a bounded analysis that explores a special type of computations, called k-synchronous. These computations can be viewed as (unbounded) sequences of interaction phases, each phase allowing at most k send actions (by different processes), followed by a sequence of receives corresponding to sends in the same phase. We give a procedure for deciding k-synchronizability of a program, i.e., whether every computation is equivalent (has the same happens-before relation) to one of its k-synchronous computations. We show that reachability over k-synchronous computations and checking k-synchronizability are both PSPACE-complete.
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Ahmed Bouajjani, Constantin Enea, Kailiang Ji, Shaz Qadeer. On the Completeness of Verifying Message Passing Programs Under Bounded Asynchrony. International Conference on Computer Aided Verification, CAV 2018: Computer Aided Verification, Springer International Publishing, pp.372-391, 2018. ⟨hal-01947855⟩

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