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From Graph Transformation Units via MiniSat to GrGen.NET

  • Conference paper
Book cover Applications of Graph Transformations with Industrial Relevance (AGTIVE 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7233))

Abstract

In logistics and other application areas, one faces many intractable and NP-hard problems like scheduling, routing, packing, planning, and various kinds of optimization. Many of them can nicely and correctly be modeled by means of graph transformation. But a graph transformation engine fails to run the solutions properly because it does not have any mechanisms to overcome or circumvent the intractability. In this paper, we propose to combine the graph transformation engine GrGen.NET with the SAT solver MiniSat to improve the situation. SAT solvers have proved to run efficiently in many cases in the area of chip design and verification. We want to take these positive experiences up and to use the SAT solver as a tentative experiment for assisting the graph transformation engine in finding solutions to NP-hard problems.

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References

  1. Biere, A., Cimatti, A., Clarke, E., Fujita, M., Zhu, Y.: Symbolic model checking using SAT procedures instead of BDDs. In: Irwin, M.J. (ed.) Proc. of the 36th Annual ACM/IEEE Design Automation Conference, pp. 317–320. ACM (1999)

    Google Scholar 

  2. Biere, A., Heule, M., van Maaren, H., Walsh, T. (eds.): Handbook of Satisfiability, Frontiers in Artificial Intelligence and Applications, vol. 185. IOS Press (2009)

    Google Scholar 

  3. Blazewicz, J., Ecker, K.H., Pesch, E., Schmidt, G., Weglarz, J. (eds.): Handbook on Scheduling: From Theory to Applications. Springer (2007)

    Google Scholar 

  4. Brucker, P.: Scheduling Algorithms. Springer (2007)

    Google Scholar 

  5. Eén, N., Sörensson, N.: An Extensible SAT-solver. In: Giunchiglia, E., Tacchella, A. (eds.) SAT 2003. LNCS, vol. 2919, pp. 502–518. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Ehrig, H., Ehrig, K., Prange, U., Taentzer, G.: Fundamentals of Algebraic Graph Transformation. Springer (2006)

    Google Scholar 

  7. Funsat: http://hackage.haskell.org/package/funsat-0.6.0 (accessed August 26, 2011)

  8. Ganai, M., Gupta, A.: SAT-Based Scalable Formal Verification Solutions. Series on Integrated Circuits and Systems. Springer (2007)

    Google Scholar 

  9. Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W. H. Freeman (1979)

    Google Scholar 

  10. Geiß, R., Kroll, M.: GrGen.NET: A Fast, Expressive, and General Purpose Graph Rewrite Tool. In: Schürr, A., Nagl, M., Zündorf, A. (eds.) AGTIVE 2007. LNCS, vol. 5088, pp. 568–569. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Kreowski, H.J., Kuske, S.: Graph transformation units with interleaving semantics. Formal Aspects of Computing 11(6), 690–723 (1999)

    Article  MATH  Google Scholar 

  12. Kreowski, H.-J., Kuske, S., Rozenberg, G.: Graph Transformation Units – An Overview. In: Degano, P., De Nicola, R., Meseguer, J. (eds.) Concurrency, Graphs and Models. LNCS, vol. 5065, pp. 57–75. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  13. Kreowski, H.-J., Kuske, S., Wille, R.: Graph Transformation Units Guided by a SAT Solver. In: Ehrig, H., Rensink, A., Rozenberg, G., Schürr, A. (eds.) ICGT 2010. LNCS, vol. 6372, pp. 27–42. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  14. Limboole (2011), http://fmv.jku.at/limboole/ (accessed August 26, 2011)

  15. Logic2CNF (2011), http://projects.cs.kent.ac.uk/projects/logic2cnf/trac/ (accessed August 26, 2011)

  16. Niedermeier, R.: Invitation to Fixed-Parameter Algorithms. Oxford Lecture Series in Mathematics and its Applications, vol. 31. Oxford University Press, USA (2006)

    Book  Google Scholar 

  17. Pinedo, M.: Scheduling: Theory, Algorithms, and Systems. Springer (2008)

    Google Scholar 

  18. Rozenberg, G. (ed.): Handbook of Graph Grammars and Computing by Graph Transformation, vol. 1: Foundations. World Scientific (1997)

    Google Scholar 

  19. Sugar (2011), http://bach.istc.kobe-u.ac.jp/sugar/ (accessed August 26, 2011)

  20. Tseitin, G.: On the complexity of derivation in propositional calculus. In: Studies in Constructive Mathematics and Mathematical Logic, Part 2, pp. 466–483 (1968); (reprinted in: Siekmann, J., Wrightson, G. (eds.): Automation of Reasoning, vol. 2, pp. 466–483. Springer (1983))

    Google Scholar 

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Ermler, M., Kreowski, HJ., Kuske, S., von Totth, C. (2012). From Graph Transformation Units via MiniSat to GrGen.NET. In: Schürr, A., Varró, D., Varró, G. (eds) Applications of Graph Transformations with Industrial Relevance. AGTIVE 2011. Lecture Notes in Computer Science, vol 7233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34176-2_14

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  • DOI: https://doi.org/10.1007/978-3-642-34176-2_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34175-5

  • Online ISBN: 978-3-642-34176-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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