English

Context-Free Grammars with Storage

Formal Languages and Automata Theory 2014-08-05 v1

Abstract

Context-free S grammars are introduced, for arbitrary (storage) type S, as a uniform framework for recursion-based grammars, automata, and transducers, viewed as programs. To each occurrence of a nonterminal of a context-free S grammar an object of type S is associated, that can be acted upon by tests and operations, as indicated in the rules of the grammar. Taking particular storage types gives particular formalisms, such as indexed grammars, top-down tree transducers, attribute grammars, etc. Context-free S grammars are equivalent to pushdown S automata. The context-free S languages can be obtained from the deterministic one-way S automaton languages by way of the delta operations on languages, introduced in this paper.

Keywords

Cite

@article{arxiv.1408.0683,
  title  = {Context-Free Grammars with Storage},
  author = {Joost Engelfriet},
  journal= {arXiv preprint arXiv:1408.0683},
  year   = {2014}
}

Comments

58 pages, 8 figures, slightly revised version of a report from 1986

R2 v1 2026-06-22T05:19:52.757Z