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Continuous Reachability for Unordered Data Petri nets is in PTime
[article]
2019
arXiv
pre-print
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Unordered data Petri nets (UDPN) are an extension of classical Petri nets with tokens that carry data from an infinite domain and where transitions may check equality and disequality of tokens. ...
In this paper, we consider the continuous reachability problem for UDPN, which can be seen as an over-approximation of the reachability problem. ...
Unordered data Petri Nets. ...
arXiv:1902.05604v1
fatcat:36lrixgenvgytdj7trlav4enlm
Continuous Reachability for Unordered Data Petri Nets is in PTime
[chapter]
2019
Green Chemistry and Sustainable Technology
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Unordered data Petri nets (UDPN) are an extension of classical Petri nets with tokens that carry data from an infinite domain and where transitions may check equality and disequality of tokens. ...
In this paper, we consider the continuous reachability problem for UDPN, which can be seen as an over-approximation of the reachability problem. ...
We thank the anonymous reviewers for their careful reading and their helpful and insightful comments. ...
doi:10.1007/978-3-030-17127-8_15
dblp:conf/fossacs/GuptaSAH19
fatcat:xblugrhs3rczlibw62tmbyi3he
Linear Equations with Ordered Data
2018
International Conference on Concurrency Theory
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These generalized equations naturally appear in the analysis of vector addition systems (or Petri nets) extended with ordered data. ...
This high complexity is surprising, and contrasts with NP-completeness for unordered data vectors. ...
First, we define homogeneous linear Petri nets, a variant of Petri nets generalising continuous PN [22] , and show how to solve its reachability problem using Q +solvability of a slight generalisation ...
doi:10.4230/lipics.concur.2018.24
dblp:conf/concur/HofmanL18
fatcat:wbbr3p5nerhw7p3hrstmyqncgu
Linear Equations with Ordered Data
[article]
2018
arXiv
pre-print
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These generalized equations naturally appear in the analysis of vector addition systems (or Petri nets) extended with ordered data. ...
This high complexity is surprising, and contrasts with NP-completeness for unordered data vectors. ...
In case of ordered data, the coverability problem is still decidable while reachability is undecidable. (Petri nets with ordered data are equivalent to timed Petri nets, as shown in [5] .) ...
arXiv:1802.06660v1
fatcat:5cbwp4tz4zhsxnngvyexsk5ttu
Soundness in negotiations
[article]
2018
arXiv
pre-print
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In earlier work, Esparza and Desel have shown that deciding soundness of a negotiation is Pspace-complete, and in Ptime if the negotiation is deterministic. ...
In the first part of this paper we revisit the soundness problem for deterministic negotiations, and show that it is Nlogspace-complete, improving on the earlier algorithm, which requires linear space. ...
We thank the referees for careful reading of the paper. ...
arXiv:1703.05137v3
fatcat:2ntetieehzg27ogze2z76cqzza
Logics for Unordered Trees with Data Constraints
2019
Journal of computer and system sciences (Print)
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Unordered data trees are a versatile data structure that is of interest in various domains of computer science. ...
Yet, so far, Mso for unordered trees has been studied without data, that is over finite alphabets. ...
with data equality tests, while still decidable, is not known to be primitive recursive, and is at least as hard as reachability for Petri nets [16] . ...
doi:10.1016/j.jcss.2018.11.004
fatcat:za6wtphrt5dkrn3dy6m6xiqery
Practical Use of High-level Petri Nets
2000
DAIMI Report Series
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The workshop is part of the 21st International Conference on Application and Theory of Petri Nets organised by the CPN group at the Department of Computer Science, University of Aarhus, Denmark. ...
This booklet contains the proceedings of the Workshop on Practical Use of High-level Petri Nets, June 27, 2000. ...
Wagenhals for his involvement in writing early versions of this paper. Finally, we also thank the CPN Group at University of Aarhus for valuable comments on this paper. ...
doi:10.7146/dpb.v29i547.7081
fatcat:n5axy6u5dbhmjiox45q4wanmhu
Subject index volumes 1–200
1999
Theoretical Computer Science
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nets, l-safe -, 2761 finite -, 3073 Petri nets, algebraic treatment of -., 2028 Petri nets as generators of string , 14, 17, 29, 209, 302, 315, 323, 419, 493, 5 18, 598, 607, 623, 636, 667, 674, 7 ...
, 579
firing, 2583, 2605
in a net, 872
mob problem, 1692
sequence. 53 1
firing sequences, 56,81, 872, 1202, 1336
of Petri nets, 1202
firing squad synchronization
problem, 138, 287, 410,
975, ...
doi:10.1016/s0304-3975(98)00319-3
fatcat:s22ud3iiqjht7lfbtc3zctk7zm
Efficient reduction of nondeterministic automata with application to language inclusion testing
[article]
2018
arXiv
pre-print
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This can be used to scale up applications of automata in formal verification tools and decision procedures for logical theories. ...
(The space complexity is worst-case quadratic.) ...
We acknowledge the anonymous reviewers for their extensive comments on earlier drafts of this article. ...
arXiv:1711.09946v3
fatcat:3fgofy65d5cgbnklzcstmnc2zi
LIPIcs, Volume 2, FSTTCS'08, Complete Volume
[article]
2013
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Acknowledgments: We are grateful to Sanjeev Khanna for several discussions on the kconnectivity problem and for explaining the results and ideas in [4]. ...
This survey is based on joint research with Dietmar Berwanger and Stephan Kreutzer. ...
Reachability and coverability problems for Petri nets with inhibitor arcs are undecidable [10] . Fortunately, they become decidable for Petri nets Petri nets with weak inhibitor arcs. THEOREM 2. ...
doi:10.4230/lipics.fsttcs.2008
fatcat:byk56drkgzc6dlyzfnfysbydoq
Logics on data words
2016
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A basic motivation for the study of these logics, called data logics in this work, is that data words are a suitable model to represent traces of concurrent systems with unboundedly many interacting processes ...
In such representations data values stand for process IDs. Thus, data logics can be used to formulate requirements on such traces. ...
The complexity of FO ∼ 2 (Suc, <) (and that of EMSO ∼ 2 (Suc, <)) was shown to be equivalent to reachability in Petri Nets [106] which is a hard problem whose precise complexity is not known yet. ...
doi:10.17877/de290r-17260
fatcat:iuymcqt6tfdkxkxucec2atsfsm
Improved verification methods for concurrent systems
[article]
2009
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This system originated from a Petri net given by Bradfield [15] , and reappeared in [91] as a transition system. The LTS of P is depicted in figure 6.3. ...
loop reachable from a vertex v is even. ...
Assume that for all switch settings of G there is a loop reachable from i on which the lowest label is odd. We have to show that ( E η)(X i ) = ⊥. ...
doi:10.6100/ir643995
fatcat:nvslkzerojachh7mptsossxnhq
Set based failure diagnosis for concurrent constraint programming
[article]
2004
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This constraint system is motivated by the analysis of records, since Oz incorporates records as a central data structure through equality constraints over feature trees. ...
data structures, cells, and records, and we highlight the restrictions of Plain with respect to Oz. ...
Related Work
Programming Languages and Models The history of models for concurrent computation reaches back into the 60's and 70's to the net theory of Petri [163] , and to work on buffered communication ...
doi:10.22028/d291-25722
fatcat:wuc4nibn6natrcqcbgmi7svx5a