An optimal decision procedure for right propositional neighborhood logic

Journal of Automated Reasoning

Volumn 38, Issue 1-3, 2007, Pages 173-199

  Bresolin, Davide ^a   Montanari, Angelo ^a   Sciavicco, Guido ^b  

^a UNIVERSITY OF UDINE   (Italy)

^b UNIVERSITY OF MURCIA   (Spain)

Author keywords

Interval temporal logic; Right propositional neighborhood logic; Tableaux based decision procedures

Indexed keywords

COMPUTABILITY AND DECIDABILITY; COMPUTATIONAL COMPLEXITY; DECISION THEORY; SEMANTICS;

INTERVAL TEMPORAL LOGIC; RIGHT PROPOSITIONAL NEIGHBORHOOD LOGIC; TABLEAUX-BASED DECISION PROCEDURES;

TEMPORAL LOGIC;

EID: 33847616541     PISSN: 01687433     EISSN: 15730670     Source Type: Journal    
DOI: 10.1007/s10817-006-9051-0     Document Type: Article

References (22)

1. Börger, E., Grädel, E., Gurevich, Y.: The Classical Decision Problem, Perspectives of Mathematical Logic. Springer, Berlin Heidelberg New York (1997)
2. Bowman, H., Thompson, S.: A decision procedure and complete axiomatization of finite interval temporal logic with projection. J. Log. Comput. 13(2), 195-239 (2003)
3. Bresolin, D., Montanari, A.: A tableau-based decision procedure for a branching-time interval temporal logic. In: Schlingloff, H. (ed.): Proceedings of the 4th International Workshop on Methods for Modalities, pp. 38-53. Berlin, Germany (2005a)
4. Bresolin, D., Montanari, A.: A tableau-based decision procedure for Right Propositional Neighborhood Logic. In: Proceedings of TABLEAUX 2005. Lecture Notes in Artificial Intelligence, vol. 3702, pp. 63-77. Koblenz, Germany (2005b)
5. Bresolin, D., Montanari, A.: A tableau-based decision procedure for right propositional neighborhood logic. Technical Report 02, Dipartimento di Matematica e Informatica, Università di Udine, Italy (2005c)
6. Emerson, E., Halpern, J.: Decision procedures and expressiveness in the temporal logic of branching time. J. Comput. Syst. Sci. 30(1), 1-24 (1985)
7. Emerson, E., Sistla, A.: Deciding full branching time logic. Inf. Control 61(3), 175-201 (1984)
8. Goranko, V., Montanari, A., Sciavicco, G.: A general tableau method for propositional interval temporal logic. In: Proceedings of TABLEAUX 2003. Lecture Notes in Artificial Intelligence, vol. 2796, pp. 102-116. Rome, Italy (2003a)
9. Goranko, V., Montanari, A., Sciavicco, G.: Propositional interval neighborhood temporal logics. J. Univers. Comput. Sci. 9(9), 1137-1167 (2003b)
10. Goranko, V., Montanari, A., Sciavicco. G.: A road map of interval temporal logics and duration calculi. J. Appl. Non-class. Log. 14(1-2), 9-54 (2004)
11. Goranko, V., Montanari, A., Sciavicco, G., Sala, P.: A general tableau method for propositional interval temporal logics: theory and implementation. J. Appl. Logic 4(3), 305-330 (2006)
12. Halpern, J., Shoham, Y.: A propositional modal logic of time intervals. ACM 38(4), 935-962 (1991)
13. Kesten, Y., Manna, Z., McGuire, H., Pnueli, A.: A decision algorithm for full propositional temporal logic. In: Proceedings of the 5th International Conference on Computer Aided Verification, Elounda, Greece. Lecture Notes in Computer Science, vol. 697, pp. 97-109. Springer, Berlin Heidelberg New York (1993)
14. Lodaya, K.: Sharpening the undecidability of interval temporal logic. In: Proceedings of 6th Asian Computing Science Conference. Lecture Notes in Computer Science, vol. 1961, pp. 290-298. Springer, Berlin Heidelberg New York (2000)
15. Montanari, A.: Propositional interval temporal logics: some promising paths. In: Proceedings of the 12th International Symposium on Temporal Representation and Reasoning (TIME), Burlington, VT, pp. 201-203. IEEE Computer Society Press, Los Alamitos, CA (2005)
16. Montanari, A., Sciavicco, G.: A Decidability Proof for Propositional Neighborhood Logic (Extended Abstract). Contributed Talk, Trends in Logics III Conference, Warsaw - Ruciane Nida (Poland) (2005)
17. Montanari, A., Sciavicco, G., Vitacolonna, N.: Decidability of interval temporal logics over split-frames via granularity. In: Proceedings of the 8th European Conference on Logics in Artificial Intelligence, Cosenza, Italy. Lecture Notes in Artificial Intelligence, vol. 2424, pp. 259-270. Springer, Berlin Heidelberg New York (2002)
18. Moszkowski, B.: Reasoning about digital circuits. Technical report stan-cs-83-970, Department of Computer Science, Stanford University, Stanford, CA (1983)
19. Otto, M.: Two variable first-order logic over ordered domains. J. Symb. Log. 66(2), 685-702 (2001)
20. Schmitt, P., Goubault-Larrecq, J.: A tableau system for linear-time temporal togic. In: Brinksma, E. (ed.) 3rd Workshop on Tools and Algorithms for the Construction and Analysis of Systems, Enschede, The Netherlands. Lecture Notes in Computer Science, vol. 1217, pp. 130-144. Springer, Berlin Heidelberg, New York (1997)
21. Venema, Y.: A modal logic for chopping intervals. J. Log. Comput. 1(4), 453-476(1991)
22. Wolper, P.: The tableau method for temporal logic: an overview. Log. Anal. 28, 119-136 (1985)