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TLA +  Proofs

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FM 2012: Formal Methods (FM 2012)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7436))

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Abstract

TLA +  is a specification language based on standard set theory and temporal logic that has constructs for hierarchical proofs. We describe how to write TLA +  proofs and check them with TLAPS, the TLA +  Proof System. We use Peterson’s mutual exclusion algorithm as a simple example and show how TLAPS and the Toolbox (an IDE for TLA + ) help users to manage large, complex proofs.

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References

  1. Balser, M., Reif, W., Schellhorn, G., Stenzel, K., Thums, A.: Formal System Development with KIV. In: Maibaum, T. (ed.) FASE 2000. LNCS, vol. 1783, pp. 363–366. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  2. Bonichon, R., Delahaye, D., Doligez, D.: Zenon: An Extensible Automated Theorem Prover Producing Checkable Proofs. In: Dershowitz, N., Voronkov, A. (eds.) LPAR 2007. LNCS (LNAI), vol. 4790, pp. 151–165. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Chaudhuri, K., et al.: Verifying Safety Properties with the TLA +  Proof System. In: Giesl, J., Hähnle, R. (eds.) IJCAR 2010. LNCS, vol. 6173, pp. 142–148. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  4. Lamport, L.: What good is temporal logic? In: Mason, R.E.A. (ed.) Information Processing 1983. IFIP, pp. 657–668, North-Holland, Paris (September 1983)

    Google Scholar 

  5. Lamport, L.: Specifying Systems: The TLA +  Language and Tools for Hardware and Software Engineers. Addison-Wesley (2003)

    Google Scholar 

  6. Lamport, L.: The PlusCal Algorithm Language. In: Leucker, M., Morgan, C. (eds.) ICTAC 2009. LNCS, vol. 5684, pp. 36–60. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  7. Lamport, L.: Byzantizing Paxos by refinement (2011), http://research.microsoft.com/en-us/um/people/lamport/pubs/web-byzpaxos.pdf

  8. Lamport, L.: How to write a 21st century proof. Journal of Fixed Point Theory and Applications (March 2012), doi:10.1007/s11784-012-0071-6

    Google Scholar 

  9. Lu, T., Merz, S., Weidenbach, C.: Towards Verification of the Pastry Protocol Using TLA + . In: Bruni, R., Dingel, J. (eds.) FORTE 2011 and FMOODS 2011. LNCS, vol. 6722, pp. 244–258. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  10. Merz, S., Vanzetto, H.: Automatic Verification of TLA +  Proof Obligations with SMT Solvers. In: Bjørner, N., Voronkov, A. (eds.) LPAR-18 2012. LNCS, vol. 7180, pp. 289–303. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  11. Parno, B., Lorch, J.R., Douceur, J.R., Mickens, J., McCune, J.M.: Memoir: Practical state continuity for protected modules. In: Security and Privacy, pp. 379–394. IEEE (2011)

    Google Scholar 

  12. Peterson, G.L.: Myths about the mutual exclusion problem. Inf. Process. Lett. 12(3), 115–116 (1981)

    Article  MATH  Google Scholar 

  13. The TLAPS Project. Web page, http://msr-inria.inria.fr/~doligez/tlaps/

  14. Wenzel, M., Paulson, L.C., Nipkow, T.: The Isabelle Framework. In: Mohamed, O.A., Muñoz, C., Tahar, S. (eds.) TPHOLs 2008. LNCS, vol. 5170, pp. 33–38. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  15. Wiedijk, F. (ed.): The Seventeen Provers of the World. LNCS (LNAI), vol. 3600. Springer, Heidelberg (2006)

    Google Scholar 

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Cousineau, D., Doligez, D., Lamport, L., Merz, S., Ricketts, D., Vanzetto, H. (2012). TLA +  Proofs. In: Giannakopoulou, D., Méry, D. (eds) FM 2012: Formal Methods. FM 2012. Lecture Notes in Computer Science, vol 7436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32759-9_14

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  • DOI: https://doi.org/10.1007/978-3-642-32759-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32758-2

  • Online ISBN: 978-3-642-32759-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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