Foundations for Entailment Checking in Quantitative Separation Logic (extended version)

Autor:	Batz, Kevin, Fesefeldt, Ira, Jansen, Marvin, Katoen, Joost-Pieter, Keßler, Florian, Matheja, Christoph, Noll, Thomas
Rok vydání:	2022
Předmět:	Computer Science - Logic in Computer Science Computer Science - Programming Languages
Druh dokumentu:	Working Paper
Popis:	Quantitative separation logic (QSL) is an extension of separation logic (SL) for the verification of probabilistic pointer programs. In QSL, formulae evaluate to real numbers instead of truth values, e.g., the probability of memory-safe termination in a given symbolic heap. As with \SL, one of the key problems when reasoning with QSL is \emph{entailment}: does a formula f entail another formula g? We give a generic reduction from entailment checking in QSL to entailment checking in SL. This allows to leverage the large body of SL research for the automated verification of probabilistic pointer programs. We analyze the complexity of our approach and demonstrate its applicability. In particular, we obtain the first decidability results for the verification of such programs by applying our reduction to a quantitative extension of the well-known symbolic-heap fragment of separation logic. Comment: Extended version of ESOP'22 paper
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.11464 Zobrazit plný text záznamu View this record from Arxiv