Presentation 2000/1/18
Liveness Problem of Time AC Net is Undecidable
Atsushi OHTA, Kohkichi TSUJI,
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Abstract(in English) Petri net is a mathematical model for discrete event systems. Petri net is known to have less modeling power than that of Turing machine. Lack of zero testing ability is the main reason of this fact. Indeed, every extended Petri net model that enables zero testing is equivalent to Turing machine. Time Perti net and is one of the models with ability of zero testing. Authors have shown that reachability problem of time asymmetiric choice nets, a subclass of time Petri net, is undercidable. In this report, we show that liveness problem of time AC net is also undercidable.
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Keyword(in English) concurrent system / Petri net / Turing machine / zero test
Paper # CST99-58
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Committee CST
Conference Date 2000/1/18(1days)
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Registration To Concurrent System Technology (CST)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Liveness Problem of Time AC Net is Undecidable
Sub Title (in English)
Keyword(1) concurrent system
Keyword(2) Petri net
Keyword(3) Turing machine
Keyword(4) zero test
1st Author's Name Atsushi OHTA
1st Author's Affiliation Faculty of Information Science and Technology, Aichi Prefectural University()
2nd Author's Name Kohkichi TSUJI
2nd Author's Affiliation Faculty of Information Science and Technology, Aichi Prefectural University
Date 2000/1/18
Paper # CST99-58
Volume (vol) vol.99
Number (no) 539
Page pp.pp.-
#Pages 6
Date of Issue