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University of Cambridge > Talks.cam > Logic and Semantics Seminar (Computer Laboratory) > Backward Analysis via Over-Approximate Abstraction and Under-Approximate Subtraction

## Backward Analysis via Over-Approximate Abstraction and Under-Approximate SubtractionAdd to your list(s) Download to your calendar using vCal - Alexey Bakhirkin, MSR/University of Leicester
- Friday 22 August 2014, 16:00-17:00
- Room FW26, Computer Laboratory, William Gates Building.
If you have a question about this talk, please contact Jonathan Hayman. We propose a novel approach for computing weakest liberal safe preconditions of programs. The standard approaches, which call for either under-approximation of a greatest fixed point, or complementation of a least fixed point, are often difficult to apply successfully. Our approach relies on a different decomposition of the weakest precondition of loops. We exchange the greatest fixed point for the computation of a least fixed point above a recurrent set, instead of the bottom element. Convergence is achieved using over-approximation, while in order to maintain soundness we use an under-approximating logical subtraction operation. Unlike general complementation, subtraction more easily allows for increased precision in case its arguments are related. The approach is not restricted to a specific abstract domain and we use it to analyze programs using the abstract domains of intervals and of 3-valued structures. This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series. ## This talk is included in these lists:- All Talks (aka the CURE list)
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