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Word Problem Languages for Free Inverse Monoids

  • Tara Brough
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10952)

Abstract

This paper considers the word problem for free inverse monoids of finite rank from a language theory perspective. It is shown that no free inverse monoid has context-free word problem; that the word problem of the free inverse monoid of rank 1 is both 2-context-free (an intersection of two context-free languages) and ET0L; that the co-word problem of the free inverse monoid of rank 1 is context-free; and that the word problem of a free inverse monoid of rank greater than 1 is not poly-context-free.

Keywords

Word problems Co-word problems Inverse monoids ET0L languages Stack automata Poly-context-free languages 

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Copyright information

© IFIP International Federation for Information Processing 2018

Authors and Affiliations

  1. 1.Centro de Matemática e Aplicações, Faculdade de Ciências e TecnologiaUniversidade Nova de LisboaCaparicaPortugal

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