ETAPS 2019
Sat 6 - Thu 11 April 2019 Prague, Czech Republic
Sun 7 Apr 2019 16:00 - 16:30 at S7 - Session IV

This is a presentation report. We present quantitative separation logic (QSL). In contrast to classical separation logic, QSL employs quantities which evaluate to real numbers instead of predicates which evaluate to Boolean values. The connectives of classical separation logic, separating conjunction and separating implication, are lifted from predicates to quantities. This extension is conservative: Both connectives are backward compatible to their classical analogs and obey the same laws, e.g. modus ponens, adjointness, etc. Furthermore, we develop a weakest precondition calculus for quantitative reasoning about probabilistic pointer programs in QSL. This calculus is a conservative extension of both Ishtiaq’s, O’Hearn’s and Reynolds’ separation logic for heap-manipulating programs and Kozen’s / McIver and Morgan’s weakest preexpectations for probabilistic programs. Soundness is proven with respect to an operational semantics based on Markov decision processes. Our calculus preserves O’Hearn’sframe rule, which enables local reasoning.

Sun 7 Apr
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16:00 - 18:00: QAPL - Session IV at S7
qapl-2019-papers16:00 - 16:30
Kevin BatzRWTH Aachen University, Benjamin Lucien KaminskiRWTH Aachen University; University College London, Joost-Pieter KatoenRWTH Aachen University, Christoph MathejaRWTH Aachen University, Thomas NollRWTH Aachen University
qapl-2019-papers16:30 - 17:00
Sergey GoncharovFAU Erlangen-Nürnberg, Lehrstuhl 8, Renato NevesUniversity of Minho & INESC TEC
qapl-2019-papers17:00 - 17:30
qapl-2019-papers17:30 - 18:00
Marco BernardoUniversity of Urbino