Abstract
This paper proposes a simple operational semanticsof pGCL, Dijkstra's guarded command language extended withprobabilistic choice, and relates this to pGCL's wp-semantics byMcIver and Morgan. Parameterised Markov decision processeswhose state rewards depend on the post-expectation at handare used as operational model. We show that the weakest pre-expectationof a pGCL-program w.r.t. a post-expectation correspondsto the expected cumulative reward to reach a terminalstate in the parameterised MDP associated to the program. In asimilar way, we show a correspondence between weakest liberalpre-expectations and liberal expected cumulative rewards.
| Original language | English |
|---|---|
| Title of host publication | Proceedings - 2012 9th International Conference on Quantitative Evaluation of Systems, QEST 2012 |
| Place of Publication | Piscataway, NJ |
| Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| Pages | 168-177 |
| Number of pages | 10 |
| ISBN (Print) | 9780769547817 |
| DOIs | |
| Publication status | Published - 2012 |
| Event | 2012 9th International Conference on Quantitative Evaluation of Systems, QEST 2012 - London, United Kingdom Duration: 17 Sep 2012 → 20 Sep 2012 |
Other
| Other | 2012 9th International Conference on Quantitative Evaluation of Systems, QEST 2012 |
|---|---|
| Country | United Kingdom |
| City | London |
| Period | 17/09/12 → 20/09/12 |
Fingerprint Dive into the research topics of 'Operational versus weakest precondition semantics for the probabilistic guarded command language'. Together they form a unique fingerprint.
Cite this
Gretz, F., Katoen, J. P., & McIver, A. (2012). Operational versus weakest precondition semantics for the probabilistic guarded command language. In Proceedings - 2012 9th International Conference on Quantitative Evaluation of Systems, QEST 2012 (pp. 168-177). [6354645] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/QEST.2012.21