Skip to main content
SpringerLink
Log in

Lingva: Generating and Proving Program Properties Using Symbol Elimination

  • Conference paper
  • First Online:
Perspectives of System Informatics (PSI 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8974))

Abstract

We describe the Lingva tool for generating and proving complex program properties using the recently introduced symbol elimination method. We present implementation details and report on a large number of experiments using academic benchmarks and open-source software programs. Our experiments show that Lingva can automatically generate quantified invariants, possibly with alternation of quantifiers, over integers and arrays. Moreover, Lingva can be used to prove program properties expressing the intended behavior of programs.

This work was partially supported by Swedish VR grant D0497701 and the Austrian research projects FWF S11410-N23 and WWTF ICT C-050.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

Notes

  1. 1.

    De-skolemising skolem functions give invariants with quantifier alternations.

References

  1. Alberti, F., Bruttomesso, R., Ghilardi, S., Ranise, S., Sharygina, N.: Lazy abstraction with interpolants for arrays. In: Bjørner, N., Voronkov, A. (eds.) LPAR-18 2012. LNCS, vol. 7180, pp. 46–61. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  2. Correnson, L., Cuoq, P., Puccetti, A., Signoles, J.: Frama-C user manual. In: CEA LIST (2010)

    Google Scholar 

  3. Cousot, P., Cousot, R., Logozzo, F.: A parametric segmentation functor for fully automatic and scalable array content analysis. In: Proceedings of POPL, pp. 105–118 (2011)

    Google Scholar 

  4. Dillig, I., Dillig, T., Aiken, A.: Fluid updates: beyond strong vs. weak updates. In: Gordon, A.D. (ed.) ESOP 2010. LNCS, vol. 6012, pp. 246–266. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  5. Garg, P., Löding, C., Madhusudan, P., Neider, D.: Learning universally quantified invariants of linear data structures. In: Sharygina, N., Veith, H. (eds.) CAV 2013. LNCS, vol. 8044, pp. 813–829. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  6. Gupta, A., Rybalchenko, A.: InvGen: an efficient invariant generator. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 634–640. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  7. Halbwachs, N., Peron, M.: Discovering properties about arrays in simple programs. In: Proceedings of PLDI, pp. 339–348 (2008)

    Google Scholar 

  8. Hoder, K., Kovács, L., Voronkov, A.: Invariant generation in vampire. In: Abdulla, P.A., Leino, K.R.M. (eds.) TACAS 2011. LNCS, vol. 6605, pp. 60–64. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  9. Kovács, L., Voronkov, A.: Finding loop invariants for programs over arrays using a theorem prover. In: Chechik, M., Wirsing, M. (eds.) FASE 2009. LNCS, vol. 5503, pp. 470–485. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  10. Kovács, L., Voronkov, A.: First-order theorem proving and vampire. In: Sharygina, N., Veith, H. (eds.) CAV 2013. LNCS, vol. 8044, pp. 1–35. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  11. Larraz, D., Rodríguez-Carbonell, E., Rubio, A.: SMT-based array invariant generation. In: Giacobazzi, R., Berdine, J., Mastroeni, I. (eds.) VMCAI 2013. LNCS, vol. 7737, pp. 169–188. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  12. Lattner, C., Adve, V.: LLVM: a compilation framework for lifelong program analysis and transformation. In Proceedings of CGO, pp. 75–88 (2004)

    Google Scholar 

  13. McMillan, K.L.: Quantified invariant generation using an interpolating saturation prover. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol. 4963, pp. 413–427. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Srivastava, S., Gulwani, S.: Program verification using templates over predicate abstraction. In: Proceedings of PLDI, pp. 223–234 (2009)

    Google Scholar 

  15. Sutcliffe, G.: The TPTP problem library and associated infrastructure. J. Autom. Reasoning 43(4), 337–362 (2009)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. TU Vienna, Vienna, Austria

    Ioan Dragan

  2. Chalmers, Gothenburg, Sweden

    Laura Kovács

Authors
  1. Ioan Dragan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Laura Kovács
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ioan Dragan .

Editor information

Editors and Affiliations

  1. School of Computer Science, University of Manchester, Manchester, United Kingdom

    Andrei Voronkov

  2. A.P. Ershov Institute of Informatics Systems, Novosibirsk, Russia

    Irina Virbitskaite

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dragan, I., Kovács, L. (2015). Lingva: Generating and Proving Program Properties Using Symbol Elimination. In: Voronkov, A., Virbitskaite, I. (eds) Perspectives of System Informatics. PSI 2014. Lecture Notes in Computer Science(), vol 8974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46823-4_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-46823-4_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46822-7

  • Online ISBN: 978-3-662-46823-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation