%0 Conference Proceedings %T Word Problem Languages for Free Inverse Monoids %+ Universidade Nova de Lisboa = NOVA University Lisbon (NOVA) %A Brough, Tara %< avec comité de lecture %( Lecture Notes in Computer Science %B 20th International Conference on Descriptional Complexity of Formal Systems (DCFS) %C Halifax, NS, Canada %Y Stavros Konstantinidis %Y Giovanni Pighizzini %I Springer International Publishing %3 Descriptional Complexity of Formal Systems %V LNCS-10952 %P 24-36 %8 2018-07-25 %D 2018 %R 10.1007/978-3-319-94631-3_3 %K Word problems %K Co-word problems %K Inverse monoids %K ET0L languages %K Stack automata %K Poly-context-free languages %Z Computer Science [cs]Conference papers %X 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. %G English %Z TC 1 %Z WG 1.2 %2 https://inria.hal.science/hal-01905631/document %2 https://inria.hal.science/hal-01905631/file/470153_1_En_3_Chapter.pdf %L hal-01905631 %U https://inria.hal.science/hal-01905631 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG %~ IFIP-DCFS %~ IFIP-WG1-2 %~ IFIP-LNCS-10952