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  A decision procedure for an extensional theory of arrays (2001) [34 citations — 11 self]

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by Aaron Stump, Clark W. Barrett, David L. Dill
In 16th IEEE Symposium on Logic in Computer Science
http://sprout.stanford.edu/PAPERS/LICS-SBDL-2001.ps
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Abstract:

A decision procedure for a theory of arrays is of interest for applications in formal verification, program analysis, and automated theorem-proving. This paper presents a decision procedure for an extensional theory of arrays and proves it correct. 1.

Citations

394 PVS: a Prototype Verification System – Owre, Rushby, et al. - 1992
272 Simplification by cooperating decision procedures – Nelson, Oppen - 1979
176 The Classical Decision Problem – Börger, Grädel, et al. - 1997
94 Towards a mathematical science of computation – McCarthy - 1962
88 Techniques for Program Verification – Nelson - 1981
22 Abstract congruence closure and specializations – Bachmair, Tiwari - 2000
22 A framework for cooperating decision procedures – Barrett, Dill, et al. - 2000
17 Formal Verification Techniques for Digital Systems – Levitt - 1998
15 Assignment commands with array references – DOWNEY, SETHI - 1978
8 A theory of finite maps – Collins, Syme - 1995
4 Some Completeness Results in the Mathematical Theory of Computation – Kaplan - 1968