確率モデル検査で著名な Marta Kwiatkowska先生(University of Oxford)の ご講演の案内です。(2件あります。)

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日時: 2月15日(水) 15:30〜 場所: 東京大学理学部7号館007

A Framework for Verification of Software with Time and Probabilities

Marta Kwiatkowska, University of Oxford (joint work with Gethin Norman and David Parker)

Quantitative verification techniques are able to establish system properties such as "the probability of an airbag failing to deploy on demand'' or "the expected time for a network protocol to successfully send a message packet''. In this paper, we describe a framework for quantitative verification of software that exhibits both real-time and probabilistic behaviour. The complexity of real software, combined with the need to capture precise timing information, necessitates the use of abstraction techniques. We outline a quantitative abstraction refinement approach, which can be used to automatically construct and analyse abstractions of probabilistic, real-time programs. As a concrete example of the potential applicability of our framework, we discuss the challenges involved in applying it to the quantitative verification of SystemC, an increasingly popular system-level modelling language.

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日時: 2月17日(金) 15:30〜 場所: 東京大学理学部7号館007

Design and Analysis of DNA Strand Displacement Devices using Probabilistic Model Checking

Marta Kwiatkowska, University of Oxford (joint work with Matthew Lakin, David Parker, Luca Cardelli and Andrew Phillips, to appear in Journal of the Royal Society Interface)

Designing correct, robust DNA devices is difficult because of the many possibilities for unwanted interference between molecules in the system. DNA strand displacement has been proposed as a design paradigm for DNA devices, and the DSD programming language has been developed as a means of formally programming and analysing these devices to check for unwanted interference. We demonstrate, for the first time, the use of formal verification techniques, in particular model checking and probabilistic model checking, to analyse the correctness, reliability and performance of DNA devices during the design phase. We use the probabilistic model checker PRISM, in combination with the DSD language, to design and debug DNA strand displacement components and to investigate their kinetics. We show how our techniques can be used to identify design flaws and to evaluate the merits of contrasting design decisions, even on devices comprising relatively few inputs. We then demonstrate the use of these components to construct a DNA strand displacement device for approximate majority voting. Finally, we discuss some of the challenges and possible directions for applying these methods to more complex designs.