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Semantics of trees

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Abstract

We introduce F-structures and investigate interpretations of trees in F-structures. Thus trees are viewed as schemes of computations in F-structures. Every tree is shown to be strongly equivalent to some chain-free tree. This enables us to use the grammatical codings of [2] to define formulas for arbitrary interpreted trees. We also introduce a syntactic way to compute the values of interpreted trees.

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References

  1. A. Ehrenfeucht and G. Rozenberg, On basic properties of DOS systems and languages,Inform. and Control,47 (1980), 137–153.

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  2. A. Ehrenfeucht and G. Rozenberg, Grammatical codes of trees,Discrete Appl. Math.,32 (1991), 103–129.

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  3. A. Ehrenfeucht, P. ten Pas, and G. Rozenberg, Properties of grammatical codes of trees, Tech. Report No. RUL-91-07, Department of Computer Science, University of Leiden, 1991. To appear inTheoretical Computer Science.

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Authors and Affiliations

  1. Department of Computer Science, University of Colorado at Boulder, 80309, Boulder, CO, USA

    A. Ehrenfeucht & G. Rozenberg

  2. Department of Computer Science, Leiden University, P.O. Box 9512, 2300, RA Leiden, The Netherlands

    G. Rozenberg

  3. Department of Mathematics, University of Turku, SF-20500, Turku, Finland

    K. Salomaa

Authors
  1. A. Ehrenfeucht
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  2. G. Rozenberg
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  3. K. Salomaa
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Ehrenfeucht, A., Rozenberg, G. & Salomaa, K. Semantics of trees. Math. Systems Theory 27, 159–181 (1994). https://doi.org/10.1007/BF01195201

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  • DOI: https://doi.org/10.1007/BF01195201

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