Abstract
Some design methods based on Petri nets modify the original specification by behaviour-preserving insertion of new transitions. If the unfolding prefix is used to analyse the net, it has to be re-unfolded after each modification, which is detrimental for the overall performance.
The approach presented in this paper applies the transformations directly to the unfolding prefix, thus avoiding re-unfolding. This also helps in visualisation, since the application of a transformation directly to the prefix changes it in a way that was ‘intuitively expected’ by the user, while re-unfolding can dramatically change the shape of the prefix. Moreover, rigourous validity checks for several kinds of transition insertions are developed. These checks are performed on the original unfolding prefix, so one never has to backtrack due to the choice of a transformation which does not preserve the behaviour.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bryant, R.E.: Graph-Based Algorithms for Boolean Function Manipulation. IEEE Transactions on Computers C-35-8, 677–691 (1986)
Chu, T.-A.: Synthesis of Self-Timed VLSI Circuits from Graph-Theoretic Specifications. PhD thesis, Laboratory for Computer Science, Massachusetts Institute of Technology (1987)
Cortadella, J., Kishinevsky, M., Kondratyev, A., Lavagno, L., Yakovlev, A.: PETRIFY: a Tool for Manipulating Concurrent Specifications and Synthesis of Asynchronous Controllers. IEICE Transactions on Information and Systems E80-D(3), 315–325 (1997)
Cortadella, J., Kishinevsky, M., Kondratyev, A., Lavagno, L., Yakovlev, A.: Automatic Handshake Expansion and Reshuffling Using Concurrency Reduction. In: Proc. HWPN’98, pp. 86–110 (1998)
Cortadella, J., Kishinevsky, M., Kondratyev, A., Lavagno, L., Yakovlev, A.: Logic Synthesis of Asynchronous Controllers and Interfaces. Springer, Heidelberg (2002)
Esparza, J., Römer, S., Vogler, W.: An Improvement of McMillan’s Unfolding Algorithm. Formal Methods in System Design 20(3), 285–310 (2002)
Heljanko, K.: Deadlock and Reachability Checking with Finite Complete Prefixes. Technical Report A56, Laboratory for Theoretical Computer Science, Helsinki University of Technology (1999)
Khomenko, V.: Model Checking Based on Prefixes of Petri Net Unfoldings. PhD thesis, School of Computing Science, Newcastle University (2003)
Khomenko, V.: Behaviour-Preserving Transition Insertions in Unfolding Prefixes. Technical Report CS-TR-952, School of Computing Science, Newcastle University (2006) URL: http://homepages.cs.ncl.ac.uk/victor.khomenko/papers/papers.html
Khomenko, V.: Efficient Automatic Resolution of Encoding Conflicts Using STG Unfoldings. Technical Report CS-TR-995, School of Computing Science, Newcastle University (2007) URL: http://homepages.cs.ncl.ac.uk/victor.khomenko/papers/papers.html
Khomenko, V., Koutny, M., Vogler, V.: Canonical Prefixes of Petri Net Unfoldings. Acta Informatica 40(2), 95–118 (2003)
Khomenko, V., Koutny, M., Yakovlev, A.: Detecting State Coding Conflicts in STG Unfoldings Using SAT. Fundamenta Informaticae 62(2), 1–21 (2004)
Khomenko, V., Koutny, M., Yakovlev, A.: Logic Synthesis for Asynchronous Circuits Based on Petri Net Unfoldings and Incremental SAT. Fundamenta Informaticae 70(1–2), 49–73 (2006)
Madalinski, A., Bystrov, A., Khomenko, V., Yakovlev, A.: Visualization and Resolution of Coding Conflicts in Asynchronous Circuit Design. IEE Proceedings: Computers and Digital Techniques 150(5), 285–293 (2003)
Murata, T.: Petri Nets: Properties, Analysis and Applications. In: Proc. of the IEEE, 7(4):541–580 (1989)
Silva, M., Teruel, E., Colom, J.M.: Linear Algebraic and Linear Programming Techniques for the Analysis of Place/Transition Net Systems. In: Reisig, W., Rozenberg, G. (eds.) Lectures on Petri Nets I: Basic Models. LNCS, vol. 1491, pp. 309–373. Springer, Heidelberg (1998)
Valmari, A.: The State Explosion Problem. In: Reisig, W., Rozenberg, G. (eds.) Lectures on Petri Nets I: Basic Models. LNCS, vol. 1491, pp. 429–528. Springer, Heidelberg (1998)
Yakovlev, A., Lavagno, L., Sangiovanni-Vincentelli, A.: A Unified Signal Transition Graph Model for Asynchronous Control Circuit Synthesis. Formal Methods in System Design 9(3), 139–188 (1996)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Khomenko, V. (2007). Behaviour-Preserving Transition Insertions in Unfolding Prefixes. In: Kleijn, J., Yakovlev, A. (eds) Petri Nets and Other Models of Concurrency – ICATPN 2007. ICATPN 2007. Lecture Notes in Computer Science, vol 4546. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73094-1_14
Download citation
DOI: https://doi.org/10.1007/978-3-540-73094-1_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73093-4
Online ISBN: 978-3-540-73094-1
eBook Packages: Computer ScienceComputer Science (R0)