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Universal first-order quantification over automata

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Publication:6199866
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DOI10.1007/978-3-031-40247-0_6arXiv2306.04210MaRDI QIDQ6199866

Bernard Boigelot, Pascal Fontaine, Baptiste Vergain

Publication date: 28 February 2024

Published in: Implementation and Application of Automata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.04210


zbMATH Keywords

first-order logicquantifier eliminationsatisfiabilityinfinite-word automata


Mathematics Subject Classification ID

Formal languages and automata (68Q45)




Cites Work

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  • A note on definability in fragments of arithmetic with free unary predicates
  • Automata on linear orderings
  • Counting the solutions of Presburger equations without enumerating them.
  • The dual of concatenation
  • Weak Second‐Order Arithmetic and Finite Automata
  • The Büchi Complementation Saga
  • Presburger arithmetic with unary predicates is Π11 complete
  • An effective decision procedure for linear arithmetic over the integers and reals
  • On the elementary theory of linear order
  • Testing and generating infinite sequences by a finite automaton


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