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Title:Safety, relative tightness and the probabilistic frame rule
Authors:ID Jereb, Janez Ignacij (Author)
ID Simpson, Alex (Author)
Files:.pdf PDF - Presentation file, download (505,93 KB)
MD5: 7DAC639C6B51BFF54BAE2F5E5956F3A4
 
URL URL - Source URL, visit https://entics.episciences.org/16743
 
Language:English
Typology:1.08 - Published Scientific Conference Contribution
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:Probabilistic separation logic offers an approach to reasoning about imperative probabilistic programs in which a separating conjunction is used as a mechanism for expressing independence properties. Crucial to the effectiveness of the formalism is the frame rule, which enables modular reasoning about independent probabilistic state. We explore a semantic formulation of probabilistic separation logic, in which the frame rule has the same simple formulation as in separation logic, without further side conditions. This is achieved by building a notion of safety into specifications, using which we establish a crucial property of specifications, called relative tightness, from which the soundness of the frame rule follows.
Keywords:probabilistic separation logic, separation logic, frame rule, partial state, operational semantics, partial correctness, total correctness, reasoning about independence
Publication status:Published
Publication version:Version of Record
Year of publishing:2025
Number of pages:Str. 12-1-12-17
PID:20.500.12556/DiRROS-29256 New window
UDC:510.6
ISSN on article:2969-2431
DOI:10.46298/entics.16743 New window
COBISS.SI-ID:276910851 New window
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Publication date in DiRROS:05.05.2026
Views:182
Downloads:92
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Record is a part of a proceedings

Title:Proceedings of MFPS XLI
COBISS.SI-ID:276899075 New window

Record is a part of a journal

Title:Electronic notes in theorical informatics and computer science
Shortened title:Electron. notes theor. inform. comput. sci.
Publisher:INRIA
ISSN:2969-2431
COBISS.SI-ID:276891907 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0294
Name:Računsko intenzivne metode v teoretičnem računalništvu, diskretni matematiki, kombinatorični optimizaciji ter numerični analizi in algebri z uporabo v naravoslovju in družboslovju

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Keywords:logika, semantika


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