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| Content Provider | Springer Nature Link |
|---|---|
| Author | Chen, Yixiang Wu, Hengyang |
| Copyright Year | 2008 |
| Abstract | The aim of this paper is to extend the probabilistic choice in probabilistic programs to sub-probabilistic choice, i.e., of the form (p)P $^{⋈}$(q)Q where p + q ⩽ 1. It means that program P is executed with probability p and program Q is executed with probability q. Then, starting from an initial state, the execution of a sub-probabilistic program results in a sub-probability distribution. This paper presents two equivalent semantics for a sub-probabilistic while-programming language. One of these interprets programs as sub-probabilistic distributions on state spaces via denotational semantics. The other interprets programs as bounded expectation transformers via wp-semantics. This paper proposes an axiomatic systems for total logic, and proves its soundness and completeness in a classical pattern on the structure of programs. |
| Starting Page | 29 |
| Ending Page | 38 |
| Page Count | 10 |
| File Format | |
| ISSN | 16737350 |
| Journal | Frontiers of Computer Science in China |
| Volume Number | 2 |
| Issue Number | 1 |
| e-ISSN | 16737466 |
| Language | English |
| Publisher | SP Higher Education Press |
| Publisher Date | 2008-03-28 |
| Publisher Institution | Chinese Universities |
| Publisher Place | Heidelberg |
| Access Restriction | Subscribed |
| Subject Keyword | sub-probabilistic programs total correctness wp-calculus Computer Science |
| Content Type | Text |
| Resource Type | Article |
| Subject | Theoretical Computer Science Computer Science |
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