Bridging Causal Reversibility and Time Reversibility: A Stochastic Process Algebraic Approach
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914676184449024 |
|---|---|
| author | Bernardo, Marco Mezzina, Claudio A. |
| author_facet | Bernardo, Marco Mezzina, Claudio A. |
| contents | Causal reversibility blends reversibility and causality for concurrent systems. It indicates that an action can be undone provided that all of its consequences have been undone already, thus making it possible to bring the system back to a past consistent state. Time reversibility is instead considered in the field of stochastic processes, mostly for efficient analysis purposes. A performance model based on a continuous-time Markov chain is time reversible if its stochastic behavior remains the same when the direction of time is reversed. We bridge these two theories of reversibility by showing the conditions under which causal reversibility and time reversibility are both ensured by construction. This is done in the setting of a stochastic process calculus, which is then equipped with a variant of stochastic bisimilarity accounting for both forward and backward directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_01420 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Bridging Causal Reversibility and Time Reversibility: A Stochastic Process Algebraic Approach Bernardo, Marco Mezzina, Claudio A. Logic in Computer Science Causal reversibility blends reversibility and causality for concurrent systems. It indicates that an action can be undone provided that all of its consequences have been undone already, thus making it possible to bring the system back to a past consistent state. Time reversibility is instead considered in the field of stochastic processes, mostly for efficient analysis purposes. A performance model based on a continuous-time Markov chain is time reversible if its stochastic behavior remains the same when the direction of time is reversed. We bridge these two theories of reversibility by showing the conditions under which causal reversibility and time reversibility are both ensured by construction. This is done in the setting of a stochastic process calculus, which is then equipped with a variant of stochastic bisimilarity accounting for both forward and backward directions. |
| title | Bridging Causal Reversibility and Time Reversibility: A Stochastic Process Algebraic Approach |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2205.01420 |