### Abstract

Original language | English |
---|---|

Journal | arXiv.org e-Print archive |

Publication status | Published - 17 Dec 2014 |

### Fingerprint

### Keywords

- cs.FL
- F.1.1; D.2.4

### Cite this

**The Timestamp of Timed Automata.** / Rosenmann, Amnon.

Research output: Contribution to journal › Article › Research

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TY - JOUR

T1 - The Timestamp of Timed Automata

AU - Rosenmann, Amnon

N1 - 31 pages, 7 figures

PY - 2014/12/17

Y1 - 2014/12/17

N2 - Given a member A of the class of non-deterministic timed automata with silent transitions (eNTA), we show how one can effectively compute its timestamp: the set of all pairs of time values and the corresponding actions of all observable timed traces of A, and also a deterministic timed automaton with the same timestamp as that of A. The timestamp is eventually periodic and is constructed via a finite periodic augmented region automaton. A consequence of this construction is the periodicity of the language of timed automata with respect to suffixes. Applications include the decidability of the 1-bounded language inclusion problem for the class eNTA, and a partial method, not bounded by time or number of steps, for the general language non-inclusion problem for eNTA.

AB - Given a member A of the class of non-deterministic timed automata with silent transitions (eNTA), we show how one can effectively compute its timestamp: the set of all pairs of time values and the corresponding actions of all observable timed traces of A, and also a deterministic timed automaton with the same timestamp as that of A. The timestamp is eventually periodic and is constructed via a finite periodic augmented region automaton. A consequence of this construction is the periodicity of the language of timed automata with respect to suffixes. Applications include the decidability of the 1-bounded language inclusion problem for the class eNTA, and a partial method, not bounded by time or number of steps, for the general language non-inclusion problem for eNTA.

KW - cs.FL

KW - F.1.1; D.2.4

M3 - Article

JO - arXiv.org e-Print archive

JF - arXiv.org e-Print archive

ER -