Abstract
Process calculi provide a language in which the structure of terms represents the structure of processes together with an operational semantics to represent computational steps. This paper uses rewriting logic for specifying and analyzing a process calculus for concurrent constraint programming (\(\textsf {ccp}\)), combining spatial and real-time behavior. In these systems, agents can run processes in different computational spaces (e.g., containers) while subject to real-time requirements (e.g., upper bounds in the execution time of a given operation), which can be specified with both discrete and dense linear time. The real-time rewriting logic semantics is fully executable in Maude with the help of rewriting modulo SMT: partial information (i.e., constraints) in the specification is represented by quantifier-free formulas on the shared variables of the system that are under the control of SMT decision procedures. The approach is used to symbolically analyze existential real-time reachability properties of process calculi in the presence of spatial hierarchies for sharing information and knowledge.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aranda, J., Pérez, J.A., Rueda, C., Valencia, F.D.: Stochastic behavior and explicit discrete time in concurrent constraint programming. In: Garcia de la Banda, M., Pontelli, E. (eds.) ICLP 2008. LNCS, vol. 5366, pp. 682–686. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-89982-2_57
Barrett, C., et al.: CVC4. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 171–177. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22110-1_14
Bruni, R., Meseguer, J.: Semantic foundations for generalized rewrite theories. Theor. Comput. Sci. 360(1–3), 386–414 (2006)
Chiarugi, D., Falaschi, M., Hermith, D., Marangoni, R., Olarte, C.: Stochastic modelling of non markovian dynamics in biochemical reactions. In: Rojas, I., Guzman, F.M.O. (eds.) International Work-Conference on Bioinformatics and Biomedical Engineering, IWBBIO 2013, Granada, Spain, 18–20 March 2013. Proceedings, pp. 537–544. Copicentro Editorial (2013)
Clavel, M., Durán, F., Eker, S., Lincoln, P., Martí-Oliet, N., Meseguer, J., Talcott, C.: All About Maude - A High-Performance Logical Framework. LNCS, vol. 4350. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-71999-1
de Boer, F., Gabbrielli, M., Meo, M.C.: A timed concurrent constraint language. Inf. Comput. 161, 45–83 (2000)
Degano, P., Gadducci, F., Priami, C.: A causal semantics for CCS via rewriting logic. Theor. Comput. Sci. 275(1–2), 259–282 (2002)
Dutertre, B.: Yices 2.2. In: Biere, A., Bloem, R. (eds.) CAV 2014. LNCS, vol. 8559, pp. 737–744. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-08867-9_49
Gilbert, D., Palamidessi, C.: Concurrent constraint programming with process mobility. In: Lloyd, J., et al. (eds.) CL 2000. LNCS (LNAI), vol. 1861, pp. 463–477. Springer, Heidelberg (2000). https://doi.org/10.1007/3-540-44957-4_31
Gupta, V., Jagadeesan, R., Panangaden, P.: Stochastic processes as concurrent constraint programs. In: Symposium on Principles of Programming Languages, pp. 189–202 (1999)
Gupta, V., Jagadeesan, R., Saraswat, V.A.: Computing with continuous change. Sci. Comput. Program. 30(1–2), 3–49 (1998)
Guzmán, M., Haar, S., Perchy, S., Rueda, C., Valencia, F.D.: Belief, knowledge, lies and other utterances in an algebra for space and extrusion. J. Log. Algebr. Methods Program. 86(1), 107–133 (2017)
Knight, S., Palamidessi, C., Panangaden, P., Valencia, F.D.: Spatial and epistemic modalities in constraint-based process calculi. In: Koutny, M., Ulidowski, I. (eds.) CONCUR 2012. LNCS, vol. 7454, pp. 317–332. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-32940-1_23
Meseguer, J.: Conditional rewriting logic as a unified model of concurrency. Theor. Comput. Sci. 96(1), 73–155 (1992)
Meseguer, J., Roşu, G.: The rewriting logic semantics project: a progress report. Inf. Comput. 231, 38–69 (2013)
Nielsen, M., Palamidessi, C., Valencia, F.D.: Temporal concurrent constraint programming: denotation, logic and applications. Nordic J. Comput. 9(1), 145–188 (2002)
Okasaki, C.: Purely Functional Data Structures. Cambridge University Press, Cambridge (1. paperback ed., transf. to digital printing edition) (2003). OCLC: 552279078
Ölveczky, P.C., Meseguer, J.: Specification of real-time and hybrid systems in rewriting logic. Theor. Comput. Sci. 285(2), 359–405 (2002)
Ölveczky, P.C., Meseguer, J.: Abstraction and completeness for Real-Time Maude. Electron. Notes Theor. Comput. Sci. 176(4), 5–27 (2007)
Pérez, J.A., Rueda, C.: Non-determinism and probabilities in timed concurrent constraint programming. In: Garcia de la Banda, M., Pontelli, E. (eds.) ICLP 2008. LNCS, vol. 5366, pp. 677–681. Springer, Berlin, Heidelberg (2008). https://doi.org/10.1007/978-3-540-89982-2_56
Rocha, C., Meseguer, J., Muñoz, C.: Rewriting modulo SMT and open system analysis. J. Log. Algebr Methods Program. 86(1), 269–297 (2017)
Romero, M., Rocha, C.: Symbolic execution and reachability analysis using rewriting modulo SMT for spatial concurrent constraint systems with extrusion. In: Dutle, A., Muñoz, C., Narkawicz, A. (eds.) NFM 2018. LNCS, vol. 10811, pp. 435–451. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-77935-5_29
Saraswat, V., Jagadeesan, R., Gupta, V.: Foundations of timed concurrent constraint programming. In: Proceedings of the Ninth Annual IEEE Symposium on Logic in Computer Science, pp. 71–80, 4–7 July 1994
Saraswat, V., Jagadeesan, R., Gupta, V.: Foundations of timed concurrent constraint programming, pp. 71–80. In: IEEE Computer Society Press (1994)
Saraswat, V., Jagadeesan, R., Gupta, V.: Default timed concurrent constraint programming. In: Proceedings of the 22nd ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, pp. 272–285, Jan 1995
Saraswat, V.A., Rinard, M., Panangaden, P.: Semantic foundations of concurrent constraint programming. In: POPL 1991, pp. 333–352. ACM (1991)
Sarria, G., Rueda, C.: Real-time concurrent constraint programming. In: 34th Latin American Conference on Informatics (CLEI 2008), pp. 379–391. CLEI (2008)
Verdejo, A., Martí-Oliet, N.: Two case studies of semantics execution in Maude: CCS and LOTOS. Form. Methods Syst. Design 27(1–2), 113–172 (2005)
Acknowledgments
The authors would like to thank the anonymous referees for their helpful comments. The first author was partially supported by Colciencias via the project CLASSIC (Proj. No. 125171250031). The second author was partially supported by Colciencias’ Convocatoria 761 Jóvenes Investigadores e Innovadores 2016 and Pontificia Universidad Javeriana Cali (Contract No. 416-2017). The third author was partially supported by Capital Semilla 2017, project “SCORES: Stochastic Concurrency in Rewrite-based Probabilistic Models” (Proj. No. 020100610). The third and fourth authors were partially supported by CAPES, Colciencias, and INRIA via the STIC AmSud project “EPIC: EPistemic Interactive Concurrency” (Proj. No. 88881.117603/2016-01).
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Ramírez, S., Romero, M., Rocha, C., Valencia, F. (2018). Real-Time Rewriting Logic Semantics for Spatial Concurrent Constraint Programming. In: Rusu, V. (eds) Rewriting Logic and Its Applications. WRLA 2018. Lecture Notes in Computer Science(), vol 11152. Springer, Cham. https://doi.org/10.1007/978-3-319-99840-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-99840-4_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-99839-8
Online ISBN: 978-3-319-99840-4
eBook Packages: Computer ScienceComputer Science (R0)