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Algorithms for Inferring Context-Sensitive L-Systems

  • Ian McQuillan
  • Jason Bernard
  • Przemyslaw Prusinkiewicz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10867)

Abstract

Lindenmayer systems (L-systems) are parallel string rewriting systems (grammars). By attaching a graphical interpretation to the symbols in the derived strings, they can be applied to create simulations of temporal processes, and have been especially successful in the modeling of plants. With the objective of automatically inferring L-system models in mind, here we study the inductive inference problem: the inference of models from observed strings. Exact algorithms are given for inferring L-systems that can generate input strings for both deterministic context-free and deterministic context-sensitive L-systems. The algorithms run in polynomial time assuming a fixed number of alphabet symbols and fixed context size. Furthermore, if a specific matrix calculated from the input words is invertible, then a context-sensitive L-system can be automatically created (if it exists) in polynomial time without assuming any fixed parameters.

Notes

Acknowledgements

The research of all authors was supported in part by a grant from the Plant Phenotyping and Imaging Research Centre (P2IRC), and in part by grants from Natural Sciences and Engineering Research Council of Canada (I. McQuillan grant 2016–06172, J. Bernard scholarship, P. Prusinkiewicz grant 2014–05325).

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Ian McQuillan
    • 1
  • Jason Bernard
    • 1
  • Przemyslaw Prusinkiewicz
    • 2
  1. 1.Department of Computer ScienceUniversity of SaskatchewanSaskatoonCanada
  2. 2.Department of Computer ScienceUniversity of CalgaryCalgaryCanada

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