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2021-05-03
Das, Arnab, Briggs, Ian, Gopalakrishnan, Ganesh, Krishnamoorthy, Sriram, Panchekha, Pavel.  2020.  Scalable yet Rigorous Floating-Point Error Analysis. SC20: International Conference for High Performance Computing, Networking, Storage and Analysis. :1–14.
Automated techniques for rigorous floating-point round-off error analysis are a prerequisite to placing important activities in HPC such as precision allocation, verification, and code optimization on a formal footing. Yet existing techniques cannot provide tight bounds for expressions beyond a few dozen operators-barely enough for HPC. In this work, we offer an approach embedded in a new tool called SATIHE that scales error analysis by four orders of magnitude compared to today's best-of-class tools. We explain how three key ideas underlying SATIHE helps it attain such scale: path strength reduction, bound optimization, and abstraction. SATIHE provides tight bounds and rigorous guarantees on significantly larger expressions with well over a hundred thousand operators, covering important examples including FFT, matrix multiplication, and PDE stencils.
2020-03-16
Noori-Hosseini, Mona, Lennartson, Bengt.  2019.  Incremental Abstraction for Diagnosability Verification of Modular Systems. 2019 24th IEEE International Conference on Emerging Technologies and Factory Automation (ETFA). :393–399.
In a diagnosability verifier with polynomial complexity, a non-diagnosable system generates uncertain loops. Such forbidden loops are in this paper transformed to forbidden states by simple detector automata. The forbidden state problem is trivially transformed to a nonblocking problem by considering all states except the forbidden ones as marked states. This transformation is combined with one of the most efficient abstractions for modular systems called conflict equivalence, where nonblocking properties are preserved. In the resulting abstraction, local events are hidden and more local events are achieved when subsystems are synchronized. This incremental abstraction is applied to a scalable production system, including parallel lines where buffers and machines in each line include some typical failures and feedback flows. For this modular system, the proposed diagnosability algorithm shows great results, where diagnosability of systems including millions of states is analyzed in less than a second.
2014-10-24
Breaux, T.D., Hibshi, H., Rao, A, Lehker, J..  2012.  Towards a framework for pattern experimentation: Understanding empirical validity in requirements engineering patterns. Requirements Patterns (RePa), 2012 IEEE Second International Workshop on. :41-47.

Despite the abundance of information security guidelines, system developers have difficulties implementing technical solutions that are reasonably secure. Security patterns are one possible solution to help developers reuse security knowledge. The challenge is that it takes experts to develop security patterns. To address this challenge, we need a framework to identify and assess patterns and pattern application practices that are accessible to non-experts. In this paper, we narrowly define what we mean by patterns by focusing on requirements patterns and the considerations that may inform how we identify and validate patterns for knowledge reuse. We motivate this discussion using examples from the requirements pattern literature and theory in cognitive psychology.

2014-09-17
Mitra, Sayan.  2014.  Proving Abstractions of Dynamical Systems Through Numerical Simulations. Proceedings of the 2014 Symposium and Bootcamp on the Science of Security. :12:1–12:9.

A key question that arises in rigorous analysis of cyberphysical systems under attack involves establishing whether or not the attacked system deviates significantly from the ideal allowed behavior. This is the problem of deciding whether or not the ideal system is an abstraction of the attacked system. A quantitative variation of this question can capture how much the attacked system deviates from the ideal. Thus, algorithms for deciding abstraction relations can help measure the effect of attacks on cyberphysical systems and to develop attack detection strategies. In this paper, we present a decision procedure for proving that one nonlinear dynamical system is a quantitative abstraction of another. Directly computing the reach sets of these nonlinear systems are undecidable in general and reach set over-approximations do not give a direct way for proving abstraction. Our procedure uses (possibly inaccurate) numerical simulations and a model annotation to compute tight approximations of the observable behaviors of the system and then uses these approximations to decide on abstraction. We show that the procedure is sound and that it is guaranteed to terminate under reasonable robustness assumptions.