Formal Analysis of Soft Errors using Theorem Proving

Naeem Abbasi
(ECE Department, Concordia University, Montreal, Canada)
Osman Hasan
(ECE Department, Concordia University, Montreal, Canada)
Sofiène Tahar
(ECE Department, Concordia University, Montreal, Canada)

Modeling and analysis of soft errors in electronic circuits has traditionally been done using computer simulations. Computer simulations cannot guarantee correctness of analysis because they utilize approximate real number representations and pseudo random numbers in the analysis and thus are not well suited for analyzing safety-critical applications. In this paper, we present a higher-order logic theorem proving based method for modeling and analysis of soft errors in electronic circuits. Our developed infrastructure includes formalized continuous random variable pairs, their Cumulative Distribution Function (CDF) properties and independent standard uniform and Gaussian random variables. We illustrate the usefulness of our approach by modeling and analyzing soft errors in commonly used dynamic random access memory sense amplifier circuits.

In Adel Bouhoula, Tetsuo Ida and Fairouz Kamareddine: Proceedings Fourth International Symposium on Symbolic Computation in Software Science (SCSS 2012), Gammarth, Tunisia, 15-17 December 2012, Electronic Proceedings in Theoretical Computer Science 122, pp. 75–84.
Published: 30th July 2013.

ArXived at: http://dx.doi.org/10.4204/EPTCS.122.7 bibtex PDF
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