Reference. Logics for context-free languages

We define matchings, and show that they capture the essence of context-freeness. More precisely, we show that the class of context-free languages coincides with the class of those sets of strings which can be defined by sentences of the form ∃ bϕ, where ϕ is first order, b is a binary predicate symbol, and the range of the second order quantifier is restricted to the class of matchings. Several variations and extensions are discussed.

Cite

Cite as @lautemann_logics_1995 (helia, typst) · \cite{lautemann_logics_1995} (LaTeX)
BibTeX
bibtex · 15 lines
@inproceedings{lautemann_logics_1995,
 title = {Logics for context-free languages},
 author = {Lautemann, Clemens and Schwentick, Thomas and Thérien, Denis},
 year = {1995},
 isbn = {978-3-540-49404-1},
 doi = {10.1007/BFb0022257},
 booktitle = {Computer {Science} {Logic}},
 series = {Lecture {Notes} in {Computer} {Science}},
 editor = {Pacholski, Leszek and Tiuryn, Jerzy},
 pages = {205--216},
 publisher = {Springer},
 address = {Berlin, Heidelberg},
 language = {en},
 abstract = {We define matchings, and show that they capture the essence of context-freeness. More precisely, we show that the class of context-free languages coincides with the class of those sets of strings which can be defined by sentences of the form ∃ bϕ, where ϕ is first order, b is a binary predicate symbol, and the range of the second order quantifier is restricted to the class of matchings. Several variations and extensions are discussed.}
}
hayagriva YAML (typst)
yaml · 25 lines
lautemann_logics_1995:
  type: article
  title: Logics for context-free languages
  author:
  - Lautemann, Clemens
  - Schwentick, Thomas
  - Thérien, Denis
  date: 1995
  editor:
  - Pacholski, Leszek
  - Tiuryn, Jerzy
  page-range: 205-216
  serial-number:
    doi: 10.1007/BFb0022257
    isbn: 978-3-540-49404-1
  abstract: We define matchings, and show that they capture the essence of context-freeness. More precisely, we show that the class of context-free languages coincides with the class of those sets of strings which can be defined by sentences of the form ∃ bϕ, where ϕ is first order, b is a binary predicate symbol, and the range of the second order quantifier is restricted to the class of matchings. Several variations and extensions are discussed.
  parent:
    type: proceedings
    title: Computer {Science} {Logic}
    publisher:
      name: Springer
      location: Berlin, Heidelberg
    parent:
      type: proceedings
      title: Lecture {Notes} in {Computer} {Science}
lautemann_logics_1995 reference entries/refs/lautemann_logics_1995/lautemann_logics_1995.hel