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A context-free linear ordering with an undecidable first-order theory
Abstract : The words of a context-free language, ordered by the lexicographic ordering, form a context-free linear ordering. It is well-known that the linear orderings associated with deterministic context-free languages have a decidable monadic second-order theory. In stark contrast, we give an example of a context-free language whose lexicographic ordering has an undecidable first-order theory.
Cited literature [21 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-00733458
Contributor : Arnaud Carayol <>
Submitted on : Tuesday, July 4, 2017 - 5:59:43 PM
Last modification on : Wednesday, February 3, 2021 - 7:54:27 AM
Long-term archiving on: : Friday, December 15, 2017 - 2:39:52 AM
Contributor : Arnaud Carayol <>
Submitted on : Tuesday, July 4, 2017 - 5:59:43 PM
Last modification on : Wednesday, February 3, 2021 - 7:54:27 AM
Long-term archiving on: : Friday, December 15, 2017 - 2:39:52 AM
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