COMPLEMENTATION OF RATIONAL SETS ON COUNTABLE SCATTERED LINEAR ORDERINGS

Author:

RISPAL CHLOÉ1,CARTON OLIVIER2

Affiliation:

1. IGM, University of Marne-la-Vallée, France

2. LIAFA, University of Paris 7, France

Abstract

In a preceding paper (Bruyère and Carton, automata on linear orderings, MFCS'01), automata have been introduced for words indexed by linear orderings. These automata are a generalization of automata for finite, infinite, bi-infinite and even transfinite words studied by Büchi. Kleene's theorem has been generalized to these words. We prove that rational sets of words on countable scattered linear orderings are closed under complementation using an algebraic approach.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

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1. Monadic Monadic Second Order Logic;Samson Abramsky on Logic and Structure in Computer Science and Beyond;2023

2. First-order separation over countable ordinals;Lecture Notes in Computer Science;2022

3. Equational Theories of Scattered and Countable Series-Parallel Posets;Developments in Language Theory;2020

4. A NON-REGULAR LANGUAGE OF INFINITE TREES THAT IS RECOGNIZED BY A SORT-WISE FINITE ALGEBRA;LOG METH COMPUT SCI;2019

5. AN ALGEBRAIC APPROACH TO MSO-DEFINABILITY ON COUNTABLE LINEAR ORDERINGS;The Journal of Symbolic Logic;2018-09

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