Presentation 2011/11/10
On Some Algorithms to Verify Trap Containing Circuit Nets
Atsushi OHTA, Kohkichi TSUJI,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Petri net is a graphical and mathematical modeling tool for concurrent systems. Analysis of general Petri net requires vast computational cost. There are some subclasses of Petri net with less computational complexity and moderate modeling power. In this report, three subclasses are considered: trap circuit nets (TC), structurally weak persistent nets (SWPN) and trap containing circuit net (TCC). TC net can be verified in polynomial time, which is shown by reducing the problem to linear programming. Verification problems of other two subclasses have been proved to be co-NP complete. This report shows graph theoretic method to verify TC nets. SWPN and TCC nets can be verified by reducing them to satisfiability problems of boolean expression, which are based on the method proposed by Oanea et al. to detect siphon containing no traps.
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Keyword(in English) concurrent system / Petri net / verification of subclasses / satisfiability problem
Paper # MSS2011-37,CAS2011-68
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Committee MSS
Conference Date 2011/11/10(1days)
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Paper Information
Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Some Algorithms to Verify Trap Containing Circuit Nets
Sub Title (in English)
Keyword(1) concurrent system
Keyword(2) Petri net
Keyword(3) verification of subclasses
Keyword(4) satisfiability problem
1st Author's Name Atsushi OHTA
1st Author's Affiliation School of Information Science and Technology, Aichi Prefectural University()
2nd Author's Name Kohkichi TSUJI
2nd Author's Affiliation School of Information Science and Technology, Aichi Prefectural University
Date 2011/11/10
Paper # MSS2011-37,CAS2011-68
Volume (vol) vol.111
Number (no) 294
Page pp.pp.-
#Pages 6
Date of Issue