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The decision problem for some logics for finite words on infinite alphabets

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Publication:843605
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DOI10.1007/s10958-009-9407-1zbMath1179.03017OpenAlexW1963525214MaRDI QIDQ843605

Serge Grigorieff, Christian Choffrut

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9407-1



Mathematics Subject Classification ID

Automata and formal grammars in connection with logical questions (03D05) Decidability of theories and sets of sentences (03B25)




Cites Work

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  • Finite \(n\)-tape automata over possibly infinite alphabets: Extending a theorem of Eilenberg et al.
  • Model theory
  • A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
  • Decision problems for semi-Thue systems with a few rules
  • Undecidability of the positive \(\forall\exists^ 3\)-theory of a free semigroup
  • Sets recognized by n-tape automata
  • Definable relations and first-order query languages over strings
  • Model Checking Freeze LTL over One-Counter Automata
  • Decision problems for multiple successor arithmetics
  • Concatenation as a basis for arithmetic
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