Abstract
It is demonstrated how Petri nets may be used to control the derivations in systems of cooperating grammars. This allows to define grammar systems with a concurrent rewriting protocol. Some basic properties are established.
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References
J. Berstel, Transductions and Context-Free Languages, Teubner, Stuttgart, 1979.
D.D. Corkill, Blackboard Systems. AI Expert 6, 9 (1991), 40–47.
E. Csuhaj-Varjú and J. Dassow, On Cooperating Distributed Grammar Systems. J. Inf. Process. Cybern. EIK 26 (1990), 49–63.
E. Csuhaj-Varjú, J. Dassow, J. Kelemen and Gh. Păun, Grammar Systems. A Grammatical Approach to Distribution and Cooperation, Gordon and Breach, London, 1994.
E. Csuhaj-Varjú and J. Kelemen, Cooperating Grammar Systems: A Syntactical Framework for the Blackboard Model of Problem Solving. In Proc. AI and Information-Control Systems of Robots’ 89 (I. Plander, Ed.), North-Holland Publ. Co., 1989, 121–127.
E. Csuhaj-Varjú and Gy. Vaszil, On Context-Free Parallel Communicating Grammar Systems: Synchronization, Communication, and Normal Forms. Theoretical Computer Science 255 (2001), 511–538.
N. Carver and V. Lesser, The Evolution of Blackboard Control Architectures. In Expert Systems with Applications, Special Issue on The Blackboard Paradigm and Its Applications 7, 1 (1994), 1–30.
J. Dassow, Gh. Păun and G. Rozenberg, Grammar Systems. In [RS97] vol. 2 (1997), 155–213.
J. Dassow, Gh. Păun and A. Salomaa, Grammars with Controlled Derivations. In [RS97] vol. 2 (1997), 101–154.
C.-M. Ionescu and O. Procopiuc, Bounded Communication in Parallel Communicating Grammar Systems. J. Inf. Process. Cybern. EIK 30 (1994), 97–110.
N.W. Keesmaat, Vector Controlled Concurrent Systems. Ph.D. thesis, Leiden University, 1996.
N.W. Keesmaat and H.C.M. Kleijn, Net-Based Control versus Rational Control: The Relation between ITNC Vector Languages and Rational Relations. Acta Informatica 34 (1997), 23–57.
N.W. Keesmaat, H.C.M. Kleijn and G. Rozenberg, Vector Controlled Concurrent Systems, Part I: Basic Classes. Fundamenta Informaticae 13 (1990), 275–316.
N.W. Keesmaat, H.C.M. Kleijn and G. Rozenberg, Vector Controlled Concurrent Systems, Part II: Comparisons. Fundamenta Informaticae 14 (1991), 1–38.
R. Meersman and G. Rozenberg, Cooperating Grammar Systems. Lect. Notes in Comp. Sci. 64 (1978), Springer-Verlag, 364–374.
R. Meersman, G. Rozenberg and D. Vermeir, Cooperating Grammar Systems. Techn. Report 78-12, Univ. Antwerp, Dept. Math., 1978.
V. Mitrana, On the Degree of Communication in Parallel Communicating Finite Automata Systems. J. Automata, Languages and Combinatorics 5 (2000), 301–314.
P.H. Nii, Blackboard Systems. In The Handbook of Artificial Intelligence vol. 4 (A. Barr, P.R. Cohen and E.A. Feigenbaum, Eds.), Addison-Wesley, 1989.
J.L. Peterson, Petri Net Theory and the Modeling of Systems, Prentice Hall, 1981.
Gh. Păun and L. Santean, Parallel Communicating Grammar Systems: The Regular Case. A. Univ. buc., Ser. Matem.-Inform. 38 (1989), 55–63.
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Beek, M.t., Kleijn, J. (2002). Petri Net Control for Grammar Systems. In: Brauer, W., Ehrig, H., Karhumäki, J., Salomaa, A. (eds) Formal and Natural Computing. Lecture Notes in Computer Science, vol 2300. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45711-9_13
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DOI: https://doi.org/10.1007/3-540-45711-9_13
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