### Abstract

We define an epistemic logic for labelled transition systems by introducing equivalence relations for the agents on the states of the labelled transition system. The idea is that agents observe the dynamics of the system modulo their ability to distinguish states and in the process learn about the current state and past history of the execution. This is in the spirit of dynamic epistemic logic but is a direct combination of Hennessy-Milner logic and epistemic logic. We give an axiomatization for the logic and prove a completeness theorem with respect to the class of models obtained by unfolding labelled transition systems.

Original language | English |
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Title of host publication | Logic and Program Semantics |

Editors | R.L. Constable, A. Silva |

Place of Publication | Berlin |

Publisher | Springer-Verlag |

Pages | 219-243 |

Number of pages | 25 |

ISBN (Print) | 9783642294846 |

DOIs | |

Publication status | Published - 21 May 2012 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 7230 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Fingerprint

### Keywords

- equivalence relation
- inductive hypothesis
- modal logic
- label transition system
- epistemic logic

### Cite this

*Logic and Program Semantics*(pp. 219-243). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7230 LNCS). Berlin: Springer-Verlag. https://doi.org/10.1007/978-3-642-29485-3_14

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*Logic and Program Semantics.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7230 LNCS, Springer-Verlag, Berlin, pp. 219-243. https://doi.org/10.1007/978-3-642-29485-3_14

**Combining epistemic logic and Hennessy-Milner logic.** / Knight, Sophia; Mardare, Radu; Panangaden, Prakash.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Combining epistemic logic and Hennessy-Milner logic

AU - Knight, Sophia

AU - Mardare, Radu

AU - Panangaden, Prakash

PY - 2012/5/21

Y1 - 2012/5/21

N2 - We define an epistemic logic for labelled transition systems by introducing equivalence relations for the agents on the states of the labelled transition system. The idea is that agents observe the dynamics of the system modulo their ability to distinguish states and in the process learn about the current state and past history of the execution. This is in the spirit of dynamic epistemic logic but is a direct combination of Hennessy-Milner logic and epistemic logic. We give an axiomatization for the logic and prove a completeness theorem with respect to the class of models obtained by unfolding labelled transition systems.

AB - We define an epistemic logic for labelled transition systems by introducing equivalence relations for the agents on the states of the labelled transition system. The idea is that agents observe the dynamics of the system modulo their ability to distinguish states and in the process learn about the current state and past history of the execution. This is in the spirit of dynamic epistemic logic but is a direct combination of Hennessy-Milner logic and epistemic logic. We give an axiomatization for the logic and prove a completeness theorem with respect to the class of models obtained by unfolding labelled transition systems.

KW - equivalence relation

KW - inductive hypothesis

KW - modal logic

KW - label transition system

KW - epistemic logic

UR - http://www.scopus.com/inward/record.url?scp=84861084088&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-29485-3_14

DO - 10.1007/978-3-642-29485-3_14

M3 - Chapter

SN - 9783642294846

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 219

EP - 243

BT - Logic and Program Semantics

A2 - Constable, R.L.

A2 - Silva, A.

PB - Springer-Verlag

CY - Berlin

ER -