Work

A Complete Inference System for Skip-free Guarded Kleene Algebra with Tests

Year: 2023

Type: conference-paper

Abstract: Guarded Kleene Algebra with Tests (GKAT) is a fragment of Kleene Algebra with Tests (KAT) that was recently introduced to reason efficiently about imperative programs. In contrast to KAT, GKAT does not have an algebraic axiomatization, but relies on an analogue of Salomaa’s axiomatization of Kleene Algebra. In this paper, we present an algebraic axiomatization and prove two completeness results for a large fragment of GKAT consisting of skip-free programs.

Source: Lecture notes in computer science

DOI: 10.1007/978-3-031-30044-8_12

Authors: Tobias Kappé, Todd Schmid, Alexandra Silva

Institutions: Open University of the Netherlands, University of Amsterdam, University College London, Cornell University

Language: English

Topic: Logic, programming, and type systems

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,392

Funder: H2020 European Research Council