Abstract | ||
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This paper presents a decidable characterization of tree languages that can be defined by a boolean combination of $\Sigma_1$ formulas. This is a tree extension of the Simon theorem, which says that a string language can be defined by a boolean combination of $\Sigma_1$ formulas if and only if its syntactic monoid is $J$-trivial. |
Year | DOI | Venue |
---|---|---|
2012 | 10.1109/LICS.2008.46 | Logical Methods in Computer Science |
Keywords | DocType | Volume |
syntactic monoid,string language,boolean combination,piecewise testable tree languages,tree extension,simon theorem,tree language,decidable characterization,computational linguistics,finite element methods,algebraic logic,formal languages,polynomials,automata,decidability,computer science,logic,boolean functions,algebra | Journal | 8 |
Issue | ISSN | Citations |
3 | Logical Methods in Computer Science, Volume 8, Issue 3 (September
29, 2012) lmcs:1216 | 17 |
PageRank | References | Authors |
0.87 | 6 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mikolaj Bojanczyk | 1 | 352 | 35.99 |
Luc Segoufin | 2 | 1453 | 153.14 |
Howard Straubing | 3 | 528 | 60.92 |