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PLunch: Guarded Kleene Algebra with Tests
Robert Rand
Zoom
Monday, April 20, 2020, 12:00-1:00 pm Calendar
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Abstract

Guarded Kleene Algebra with Tests (GKAT) is a variation on Kleene Algebra with Tests (KAT) that arises by restricting the union (+) and iteration (*) operations from KAT to predicate-guarded versions. We develop the (co)algebraic theory of GKAT and show how it can be efficiently used to reason about imperative programs. In contrast to KAT, whose equational theory is PSPACE-complete, we show that the equational theory of GKAT is (almost) linear time. We also provide a full Kleene theorem and prove completeness for an analogue of Salomaa’s axiomatization of Kleene Algebra.

Paper link: https://dl.acm.org/doi/10.1145/3371129

Here's an introduction to Kleene Algebra: https://dl.acm.org/doi/pdf/10.1145/256167.256195 

Zoom meeting URL will be shared via email on the mailing list, or email me to get the URL.

This talk is organized by Sankha Narayan Guria