Abstract
The first part of this paper is a brief survey on tree-based generators, including some typical examples taken from the fields of string, tree, graph, and picture generation. In the second part, an extension of the tree-based generator called delegation network is proposed. Intuitively, a delegation network is a network of tree-based generators that can “delegate” subtasks to each other. In this way, different types of tree-based generators can be combined to generate complex objects.
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References
Abelson, H., diSessa, A.: Turtle Geometry: The Computer as a Medium for Exploring Mathematics. MIT Press, Cambridge, MA (1980)
Bauderon, M., Courcelle, B.: Graph expressions and graph rewriting. Mathematical Systems Theory 20, 83–127 (1987)
Comon, H., Dauchet, M., Gilleron, R., Jacquemard, F., Lugiez, D., Tison, S., Tommasi, M.: Tree Automata Techniques and Applications (2002), Available at http://www.grappa.univ-lille3.fr/tata
Courcelle, B.: Graph rewriting: an algebraic and logic approach. In: van Leeuwen, J. (ed.) Handbook of Theoretical Computer Science, vol. B, pp. 193–242. Elsevier, Amsterdam (1990)
Drewes, F., Högberg, J.: An algebra for tree-based music generation. In: Bozapalidis, S., Rahonis, G. (eds.) Proc. 2nd Intl. Conf. on Algebraic Informatics. LNCS, vol. 4728, pp. 161–173. Springer, Heidelberg (2007)
Drewes, F., Kreowski, H.-J.: Picture generation by collage grammars. In: Ehrig, H., Engels, G., Kreowski, H.-J., Rozenberg, G. (eds.) Handbook of Graph Grammars and Computing by Graph Transformation. Applications, Languages, and Tools, vol. 2, pp. 397–457. World Scientific, Singapore (1999)
Drewes, F.: Grammatical Picture Generation – A Tree-Based Approach. In: Texts in Theoretical Computer Science. An EATCS, Springer, Heidelberg (2006)
Drewes, F.: Delegation networks. Report UMINF 07.04, Umeå University (2007)
Engelfriet, J.: Some open questions and recent results on tree transducers and tree languages. In: Book, R.V. (ed.) Formal Language Theory: Perspectives and Open Problems, pp. 241–286. Academic Press, London (1980)
Engelfriet, J.: Context-free graph grammars. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages. Beyond Words, ch. 3, vol. 3, pp. 125–213. Springer, Heidelberg (1997)
Engelfriet, J., Schmidt, E.M.: IO and OI. I. Journal of Computer and System Sciences 15, 328–353 (1977)
Engelfriet, J., Schmidt, E.M.: IO and OI. II. Journal of Computer and System Sciences 16, 67–99 (1978)
Fülöp, Z., Vogler, H.: Syntax-Directed Semantics: Formal Models Based on Tree Transducers. Springer, Heidelberg (1998)
Gécseg, F., Steinby, M.: Tree Automata. Akadémiai Kiadó, Budapest (1984)
Gécseg, F., Steinby, M.: Tree languages. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages. Beyond Words, ch. 1, vol. 3, pp. 1–68. Springer, Heidelberg (1997)
Habel, A., Kreowski, H.-J.: Collage grammars. In: Ehrig, H., Kreowski, H.-J., Rozenberg, G. (eds.) Graph Grammars and Their Application to Computer Science. LNCS, vol. 532, pp. 411–429. Springer, Heidelberg (1991)
Maibaum, T.S.E.: A generalized approach to formal languages. Journal of Computer and System Sciences 8, 409–502 (1974)
Nivat, M., Podelski, A. (eds.): Tree Automata and Languages. Elsevier, Amsterdam (1992)
Prusinkiewicz, P., Hammel, M., Hanan, J., Měch, R.: Visual models of plant development. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages. Beyond Words, vol. 3, pp. 535–597. Springer, Heidelberg (1997)
Prusinkiewicz, P., Lindenmayer, A.: The Algorithmic Beauty of Plants. Springer, Heidelberg (1990)
Rounds, W.C.: Mappings and grammars on trees. Mathematical Systems Theory 4, 257–287 (1970)
Thatcher, J.W.: Tree automata: an informal survey. In: Aho, A.V. (ed.) Currents in the Theory of Computing, pp. 143–172. Prentice-Hall, Englewood Cliffs (1973)
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Drewes, F. (2007). From Tree-Based Generators to Delegation Networks. In: Bozapalidis, S., Rahonis, G. (eds) Algebraic Informatics. CAI 2007. Lecture Notes in Computer Science, vol 4728. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75414-5_3
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DOI: https://doi.org/10.1007/978-3-540-75414-5_3
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