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General Algebras: How They Function as Tree Acceptors and Push-down Automata

In: Finite Automata, Their Algebras and Grammars

Author

Listed:
  • J. Richard Büchi

    (Purdue University, Computer Science Department)

  • Dirk Siefkes

    (Technische Universität Berlin, Fachbereich Informatik)

Abstract

To this point we have concentrated our attention on the very simplest information-processing systems, the finite automata with unary transition algebras. Corresponding to these automata, on the linguistic side, we have found the very simplest grammars, the finite-state grammars. We will now extend the theory, and thus obtain a systematic account of tree automata, push-down automata, and the corresponding context free languages, or term languages.

Suggested Citation

  • J. Richard Büchi & Dirk Siefkes, 1989. "General Algebras: How They Function as Tree Acceptors and Push-down Automata," Springer Books, in: Dirk Siefkes (ed.), Finite Automata, Their Algebras and Grammars, chapter 0, pages 217-270, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8853-1_6
    DOI: 10.1007/978-1-4613-8853-1_6
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