Abstract | ||
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We develop an algebraic model for recognizing languages of words indexed by countable linear orderings. This notion of recognizability is effectively equivalent to definability in monadic second-order (MSO) logic. The proofs also imply the first known collapse result for MSO logic over countable linear orderings. |
Year | Venue | Keywords |
---|---|---|
2011 | ICALP'11 Proceedings of the 38th international conference on Automata, languages and programming - Volume Part II | known collapse result,algebraic model,countable linear ordering,monadic second-order,regular language,mso logic |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Countable set,Algebraic model,Linear ordering,Algebra,Automaton,Mathematical proof,Regular language,Expressive power,Mathematics,Monad (functional programming) | Conference | abs/1702.05342 |
ISSN | Citations | PageRank |
0302-9743 | 8 | 0.81 |
References | Authors | |
2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Olivier Carton | 1 | 381 | 40.97 |
Thomas Colcombet | 2 | 327 | 31.61 |
Gabriele Puppis | 3 | 212 | 20.49 |