Quantitative Separation Logic - A Logic for Reasoning about Probabilistic Pointer Programs
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 AprDisplayed time zone: Amsterdam, Berlin, Bern, Rome, Stockholm, Vienna change
16:00 - 18:00 | |||
16:00 30mTalk | Quantitative Separation Logic - A Logic for Reasoning about Probabilistic Pointer Programs QAPL Kevin Batz RWTH Aachen University, Benjamin Lucien Kaminski RWTH Aachen University; University College London, Joost-Pieter Katoen RWTH Aachen University, Christoph Matheja RWTH Aachen University, Thomas Noll RWTH Aachen University DOI | ||
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17:30 30mTalk | Equational Characterization Metaresults for Bisimulation and Trace Semantics in ULTraS QAPL Marco Bernardo University of Urbino |