Higher order indexed monadic systems

Authors Didier Caucal, Teodor Knapik

Thumbnail PDF


  • Filesize: 462 kB
  • 12 pages

Document Identifiers

Author Details

Didier Caucal
Teodor Knapik

Cite AsGet BibTex

Didier Caucal and Teodor Knapik. Higher order indexed monadic systems. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 13, pp. 469-480, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


A word rewriting system is called monadic if each of its right hand sides is either a single letter or the empty word. We study the images of higher order indexed languages (defined by Maslov) under inverse derivations of infinite monadic systems. We show that the inverse derivations of deterministic level n indexed languages by confluent regular monadic systems are deterministic level n+1 languages, and that the inverse derivations of level n indexed monadic systems preserve level $n$ indexed languages. Both results are established using a fine structural study of classes of infinite automata accepting level $n$ indexed languages. Our work generalizes formerly known results about regular and context-free languages which form the first two levels of the indexed language hierarchy.
  • Higher-order indexed languages
  • monadic systems


  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    PDF Downloads
Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail