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Satallax: An Automatic Higher-Order Prover

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7364))

Abstract

Satallax is an automatic higher-order theorem prover that generates propositional clauses encoding (ground) tableau rules and uses MiniSat to test for unsatisfiability. We describe the implementation, focusing on flags that control search and examples that illustrate how the search proceeds.

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References

  1. Backes, J., Brown, C.E.: Analytic Tableaux for Higher-Order Logic with Choice. Journal of Automated Reasoning 47(4), 451–479 (2011)

    Article  MathSciNet  Google Scholar 

  2. Benzmüller, C.: Equality and Extensionality in Automated Higher-Order Theorem Proving. PhD thesis, Universität des Saarlandes (1999)

    Google Scholar 

  3. Benzmüller, C., Paulson, L.C., Theiss, F., Fietzke, A.: LEO-II - A Cooperative Automatic Theorem Prover for Classical Higher-Order Logic (System Description). In: Armando, A., Baumgartner, P., Dowek, G. (eds.) IJCAR 2008. LNCS (LNAI), vol. 5195, pp. 162–170. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  4. Blanchette, J.C., Böhme, S., Paulson, L.C.: Extending Sledgehammer with SMT Solvers. In: Bjørner, N., Sofronie-Stokkermans, V. (eds.) CADE 2011. LNCS (LNAI), vol. 6803, pp. 116–130. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  5. Brown, C.E.: Solving for Set Variables in Higher-Order Theorem Proving. In: Voronkov, A. (ed.) CADE 2002. LNCS (LNAI), vol. 2392, pp. 408–422. Springer, Heidelberg (2002)

    Google Scholar 

  6. Brown, C.E.: Reducing Higher-Order Theorem Proving to a Sequence of SAT Problems. In: Bjørner, N., Sofronie-Stokkermans, V. (eds.) CADE 2011. LNCS (LNAI), vol. 6803, pp. 147–161. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  7. De Moura, L., Bjørner, N.: Satisfiability modulo theories: introduction and applications. Commununications of the ACM 54(9), 69–77 (2011)

    Article  Google Scholar 

  8. 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 

  9. McCarthy, J.: A Tough Nut for Proof Procedures. Stanford Artificial Intelligence Memo No. 16 (July 1964)

    Google Scholar 

  10. Sutcliffe, G.: The TPTP Problem Library and Associated Infrastructure: The FOF and CNF Parts, v3.5.0. Journal of Automated Reasoning 43(4), 337–362 (2009)

    Article  MATH  Google Scholar 

  11. Sutcliffe, G.: The CADE-23 Automated Theorem Proving System Competition - CASC-23. AI Communications 25(1), 49–63 (2012)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Brown, C.E. (2012). Satallax: An Automatic Higher-Order Prover. In: Gramlich, B., Miller, D., Sattler, U. (eds) Automated Reasoning. IJCAR 2012. Lecture Notes in Computer Science(), vol 7364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31365-3_11

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  • DOI: https://doi.org/10.1007/978-3-642-31365-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31364-6

  • Online ISBN: 978-3-642-31365-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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