Title
Trading Bounds for Memory in Games with Counters
Abstract
We study two-player games with counters, where the objective of the first player is that the counter values remain bounded. We investigate the existence of a trade-off between the size of the memory and the bound achieved on the counters, which has been conjectured by Colcombet and Löding. We show that unfortunately this conjecture does not hold: there is no trade-off between bounds and memory, even for finite arenas. On the positive side, we prove the existence of a trade-off for the special case of thin tree arenas.
Year
DOI
Venue
2015
10.1007/978-3-662-47666-6_16
ICALP 2015 Proceedings, Part II, of the 42nd International Colloquium on Automata, Languages, and Programming - Volume 9135
Field
DocType
Volume
Discrete mathematics,Combinatorics,Computer science,Regular language,Conjecture,Special case,Bounded function
Conference
abs/1709.03121
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
12
4
Name
Order
Citations
PageRank
Nathanaël Fijalkow16119.71
Florian Horn2536.57
Denis Kuperberg3419.68
Michal Skrzypczak42311.34