POPL 2020 (series) / Research Papers / Guarded Kleene Algebra with Tests: Verification of Uninterpreted Programs in Nearly Linear Time
Guarded Kleene Algebra with Tests: Verification of Uninterpreted Programs in Nearly Linear TimeDistinguished Paper
Wed 22 Jan 2020 16:18 - 16:40 at Ile de France II (IDF II) - Automatic Differentiation / Kleene Algebra Chair(s): Lars Birkedal
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.
Wed 22 Jan Times are displayed in time zone: Saskatchewan, Central America change
Wed 22 Jan
Times are displayed in time zone: Saskatchewan, Central America change
15:35 - 16:40: Automatic Differentiation / Kleene AlgebraResearch Papers at Ile de France II (IDF II) Chair(s): Lars BirkedalAarhus University | |||
15:35 - 15:56 Talk | A Simple Differentiable Programming Language Research Papers Link to publication DOI Media Attached | ||
15:56 - 16:18 Talk | Backpropagation in the Simply Typed Lambda-calculus with Linear Negation Research Papers Link to publication DOI Media Attached File Attached | ||
16:18 - 16:40 Talk | Guarded Kleene Algebra with Tests: Verification of Uninterpreted Programs in Nearly Linear TimeDistinguished Paper Research Papers Steffen SmolkaCornell University, Nate FosterCornell University, Justin HsuUniversity of Wisconsin-Madison, USA, Tobias KappéUniversity College London, Dexter KozenCornell University, Alexandra SilvaUniversity College London Link to publication DOI Media Attached |