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arXiv · 1304.1185

Parameterized Verification of Asynchronous Shared-Memory Systems

Javier Esparza·Pierre Ganty·Rupak Majumdar
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Abstract

We characterize the complexity of the safety verification problem for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributors. Processes communicate through a shared, bounded-value register. While each operation on the register is atomic, there is no synchronization primitive to execute a sequence of operations atomically. We analyze the complexity of the safety verification problem when processes are modeled by finite-state machines, pushdown machines, and Turing machines. The problem is coNP-complete when all processes are finite-state machines, and is PSPACE-complete when they are pushdown machines. The complexity remains coNP-complete when each Turing machine is allowed boundedly many interactions with the register. Our proofs use combinatorial characterizations of computations in the model, and in case of pushdown-systems, some language-theoretic constructions of independent interest.

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Javier Esparza, Pierre Ganty, Rupak Majumdar. 2013-04-03. Parameterized Verification of Asynchronous Shared-Memory Systems. https://doi.org/10.1007/978-3-642-39799-8_8

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