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Reasoning about Linear Systems

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Speaker: Rob Arthan

We consider reasoning about linear systems expressed as block diagrams in a general relational setting. Using the notion of additive relation borrowed from homological algebra, the theory of weakest pre-conditions for these systems turns out to be very tractable and gives simple Hoare-style rules for the block diagram constructors. Many natural choices for the logical language used to express properties of linear systems admit a high degree of automation.

This talk is part of the Computer Laboratory Automated Reasoning Group Lunches series.

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