TY - GEN

T1 - Decidable expansions of labelled linear orderings

AU - Bès, Alexis

AU - Rabinovich, Alexander

PY - 2010

Y1 - 2010

N2 - Let M=(A,<P̄) where (A,<) is a linear ordering and denotes a finite sequence of monadic predicates on A. We show that if A contains an interval of order type ω or -ω, and the monadic second-order theory of M is decidable, then there exists a non-trivial expansion M' of M by a monadic predicate such that the monadic second-order theory of M' is still decidable.

AB - Let M=(A,<P̄) where (A,<) is a linear ordering and denotes a finite sequence of monadic predicates on A. We show that if A contains an interval of order type ω or -ω, and the monadic second-order theory of M is decidable, then there exists a non-trivial expansion M' of M by a monadic predicate such that the monadic second-order theory of M' is still decidable.

KW - decidability

KW - definability

KW - linear orderings

KW - monadic second-order logic

UR - http://www.scopus.com/inward/record.url?scp=77956570039&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-15025-8_5

DO - 10.1007/978-3-642-15025-8_5

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AN - SCOPUS:77956570039

SN - 3642150241

SN - 9783642150241

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 95

EP - 107

BT - Fields of Logic and Computation - Essays Dedicated to Yuri Gurevich on the Occasion of His 70th Birthday

Y2 - 22 August 2010 through 22 August 2010

ER -