Abstract
In this paper we discuss the new version of PITP, a procedure to decide propositional intuitionistic logic, which turns out at the moment to be the best propositional prover on ILTP. The changes in the strategy and implementation make the new version of PITP faster and capable of deciding more formulas than the previous one. We give a short account both of the old optimizations and the changes in the strategy with respect to the previous version. We use ILTP library and random generated formulas to compare the implementation described in this paper to the other provers (including our old version of PITP).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Avellone, A., Ferrari, M., Fiorentini, C., Fiorino, G., Moscato, U.: Esbc: an application for computing stabilization bounds. ENTCS 153(1), 23–33 (2006)
Avellone, A., Fiorino, G., Moscato, U.: A parallel implementation of a decision procedure for propositional intuitionistic logic. In: Mayer, M.C., Pirri, F. (eds.) TABLEAUX, POSITION PAPERS AND TUTORIALS (2003)
Avellone, A., Fiorino, G., Moscato, U.: A new O(n lg n)-space decision procedure for propositional intuitionistic logic. In: Baaz, A. V. M., Makowsky, J. (eds.), volume VIII of Kurt Gödel Society, Collegium Logicum, pp. 17–33 (2004)
Avellone, A., Fiorino, G., Moscato, U.: A Tableau Decision Procedure for Propositional Intuitionistic Logic. In Proceedings of the 6th International Workshop on the Implementation of Logic, of CEUR Workshop Proceedings, vol. 212, pp. 64–79 (2006)
Avellone, A., Fiorentini, C., Fiorino, G., Moscato, U.: A space efficient implementation of a tableau calculus for a logic with a constructive negation. In: Marcinkowski, J., Tarlecki, A. (eds.) CSL 2004. LNCS, vol. 3210, pp. 488–502. Springer, Heidelberg (2004)
Avellone, A., Fiorino, G., Moscato, U.: Optimization techniques for propositional intuitionistic logic and their implementation. submitted to JAL (2007), http://www.dimequant.unimib.it/PITP/index.html
Constable, R. (ed.): Implementing Mathematics with the Nuprl Proof Development System. Prentice–Hall, Englewood Cliffs, New Jersey (1986)
Egly, U., Schmitt, S.: On intuitionistic proof transformations, their complexity, and application to constructive program synthesis. Fundam. Inform. 39(1-2), 59–83 (1999)
Fiorino, G.: Decision procedures for propositional intermediate logics. PhD thesis, Dipartimento di Scienze dell’Informazione, Universita’ degli Studi di Milano, Italy (2001)
Hähnle, R.: Tableaux and related methods. Handbook of Automated Reasoning, pp. 100–178. Elsevier and MIT Press (2001)
Horrocks, I.: Optimising Tableaux Decision Procedures for Description Logics. PhD thesis, University of Manchester (1997)
Larchey-Wendling, D., Méry, D., Galmiche, D.: Strip: Structural sharing for efficient proof-search. In: Goré, R.P., Leitsch, A., Nipkow, T. (eds.) IJCAR 2001. LNCS (LNAI), vol. 2083, pp. 696–700. Springer, Heidelberg (2001)
Massacci, F.: Simplification: A general constraint propagation technique for propositional and modal tableaux. In: de Swart, H. (ed.) TABLEAUX 1998. LNCS (LNAI), vol. 1397, pp. 217–232. Springer, Heidelberg (1998)
Mendler, M.: Timing analysis of combinational circuits in intuitionistic propositional logic. Formal Methods in System Design 17(1), 5–37 (2000)
Raths, T., Otten, J., Kreitz, C.: The ILTP problem library for intuitionistic logic. release v1.1. To appear in JAR (2006)
Sahlin, D., Franzén, T., Haridi, S.: An intuitionistic predicate logic theorem prover. J. Log. Comput. 2(5), 619–656 (1992)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Avellone, A., Fiorino, G., Moscato, U. (2007). Improvements to the Tableau Prover PITP. In: Olivetti, N. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 2007. Lecture Notes in Computer Science(), vol 4548. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73099-6_18
Download citation
DOI: https://doi.org/10.1007/978-3-540-73099-6_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73098-9
Online ISBN: 978-3-540-73099-6
eBook Packages: Computer ScienceComputer Science (R0)