| Title: | Safety, relative tightness and the probabilistic frame rule |
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| Authors: | ID Jereb, Janez Ignacij (Author) ID Simpson, Alex (Author) |
| Files: | PDF - Presentation file, download (505,93 KB) MD5: 7DAC639C6B51BFF54BAE2F5E5956F3A4
URL - Source URL, visit https://entics.episciences.org/16743
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| Language: | English |
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| Typology: | 1.08 - Published Scientific Conference Contribution |
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| Organization: | IMFM - Institute of Mathematics, Physics, and Mechanics
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| 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. |
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| Keywords: | probabilistic separation logic, separation logic, frame rule, partial state, operational semantics, partial correctness, total correctness, reasoning about independence |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2025 |
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| Number of pages: | Str. 12-1-12-17 |
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| PID: | 20.500.12556/DiRROS-29256  |
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| UDC: | 510.6 |
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| ISSN on article: | 2969-2431 |
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| DOI: | 10.46298/entics.16743  |
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| COBISS.SI-ID: | 276910851  |
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| Note: |
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| Publication date in DiRROS: | 05.05.2026 |
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| Views: | 182 |
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| Downloads: | 92 |
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| Metadata: |  |
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