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LICS
1995
IEEE
13 years 11 months ago
Tree Canonization and Transitive Closure
We prove that tree isomorphism is not expressible in the language (FO + TC + COUNT). This is surprising since in the presence of ordering the language captures NL, whereas tree is...
Kousha Etessami, Neil Immerman
POPL
2004
ACM
14 years 8 months ago
A logic you can count on
We prove the decidability of the quantifier-free, static fragment of ambient logic, with composition adjunct and iteration, which corresponds to a kind of regular expression langu...
Silvano Dal-Zilio, Denis Lugiez, Charles Meyssonni...
EJC
2007
13 years 7 months ago
On the number of matchings of a tree
In a paper of Klazar, several counting examples for rooted plane trees were given, including matchings and maximal matchings. Apart from asymptotical analysis, it was shown how to...
Stephan G. Wagner
CPM
2006
Springer
175views Combinatorics» more  CPM 2006»
13 years 11 months ago
On-Line Linear-Time Construction of Word Suffix Trees
Abstract. Suffix trees are the key data structure for text string matching, and are used in wide application areas such as bioinformatics and data compression. Sparse suffix trees ...
Shunsuke Inenaga, Masayuki Takeda
COMBINATORICS
2002
105views more  COMBINATORICS 2002»
13 years 7 months ago
Counting 1324-Avoiding Permutations
We consider permutations that avoid the pattern 1324. By studying the generating tree for such permutations, we obtain a recurrence formula for their number. A computer program pr...
Darko Marinov, Rados Radoicic