### Abstract

Original language | Undefined |
---|---|

Place of Publication | Nijmegen |

Publisher | Radboud University Nijmegen |

Number of pages | 49 |

Publication status | Published - Jan 2006 |

### Publication series

Name | ICIS |
---|---|

Publisher | Radboud University Nijmegen |

No. | R06002 |

### Keywords

- CR-F.1.2
- CR-F.4.3
- MSC-68Q05
- MSC-68Q10
- EWI-6949
- MSC-68Q75
- CR-F.1.1
- METIS-238681
- IR-66367
- MSC-68Q55

### Cite this

*A Testing Scenario for Probabilistic Processes*. (ICIS; No. R06002). Nijmegen: Radboud University Nijmegen.

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*A Testing Scenario for Probabilistic Processes*. ICIS, no. R06002, Radboud University Nijmegen, Nijmegen.

**A Testing Scenario for Probabilistic Processes.** / Cheung, L.; Stoelinga, Mariëlle Ida Antoinette; Vaandrager, F.W.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - A Testing Scenario for Probabilistic Processes

AU - Cheung, L.

AU - Stoelinga, Mariëlle Ida Antoinette

AU - Vaandrager, F.W.

PY - 2006/1

Y1 - 2006/1

N2 - We introduce a notion of finite testing, based on statistical hypothesis tests, via a variant of the well-known trace machine. Under this scenario, two processes are deemed observationally equivalent if they cannot be distinguished by any finite test. We consider processes modeled as image finite probabilistic automata and prove that our notion of observational equivalence coincides with the trace distribution equivalence proposed by Segala. Along the way, we give an explicit characterization of the set of probabilistic executions of an arbitrary probabilistic automaton A and generalize the Approximation Induction Principle by defining an algebraic CPO structure on the set of trace distributions of A. We also prove limit and convex closure properties of trace distributions in an appropriate metric space.

AB - We introduce a notion of finite testing, based on statistical hypothesis tests, via a variant of the well-known trace machine. Under this scenario, two processes are deemed observationally equivalent if they cannot be distinguished by any finite test. We consider processes modeled as image finite probabilistic automata and prove that our notion of observational equivalence coincides with the trace distribution equivalence proposed by Segala. Along the way, we give an explicit characterization of the set of probabilistic executions of an arbitrary probabilistic automaton A and generalize the Approximation Induction Principle by defining an algebraic CPO structure on the set of trace distributions of A. We also prove limit and convex closure properties of trace distributions in an appropriate metric space.

KW - CR-F.1.2

KW - CR-F.4.3

KW - MSC-68Q05

KW - MSC-68Q10

KW - EWI-6949

KW - MSC-68Q75

KW - CR-F.1.1

KW - METIS-238681

KW - IR-66367

KW - MSC-68Q55

M3 - Report

T3 - ICIS

BT - A Testing Scenario for Probabilistic Processes

PB - Radboud University Nijmegen

CY - Nijmegen

ER -