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authorMarcin Chrzanowski <mc370754@students.mimuw.edu.pl>2021-08-05 21:20:19 -0400
committerMarcin Chrzanowski <mc370754@students.mimuw.edu.pl>2021-08-05 21:20:19 -0400
commitd66b548492085b87869048adedb2417ed537daca (patch)
tree2cdba4cc70f98e7c682a4578aeb808134238f67e
parent76e62341149ab0977673bb63d645e5ed55720fde (diff)
Add first version of abstract
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%tu idzie streszczenie na strone poczatkowa
\begin{abstract}
- % TODO
+ We define $k$-relabel queries on trees, which, via the known equivalence
+ between tree automata and MSO formulae on trees, happens to be a
+ generalization of the MSO query answering problem on trees. We show these
+ queries can be performed in constant time after preprocessing the input tree
+ in linear time. Along the way, we show an algorithm for handling queries of
+ the form ``Does the infix of a tree branch between nodes $x$ and $y$ belong
+ to the regular language $L$'' (for a previously fixed regular language $L$)
+ in the same time complexities. Our approach is much simpler in presentation
+ than a previously known solution due to Colcombet.
\end{abstract}
\tableofcontents