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The complexity of verifying memory coherence and consistency

Cantin, J.F.   Lipasti, M.H.   Smith, J.E.  
Dept. of Electr. & Comput. Eng., Wisconsin-Madison Univ., Madison, WI, USA
This paper appears in: Parallel and Distributed Systems, IEEE Transactions on
Publication Date: July 2005
Volume: 16 , Issue: 7
On page(s): 663 - 671
ISSN: 1045-9219
Digital Object Identifier: 10.1109/TPDS.2005.86
Current Version Published: 2005-05-31

Abstract
The problem of testing shared memories for memory coherence and consistency is studied. First, it is proved that detecting violations of coherence in an execution is NP-complete, and it remains NP-complete for a number of restricted instances. This result leads to a proof that all known consistency models are NP-hard to verify. The complexity of verifying consistency models is not a mere consequence of coherence, and verifying sequential consistency remains NP-complete even after coherence has been verified.

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