Token Games and History-Deterministic Quantitative-Automata

@inproceedings{Boker2022TokenGA,
  title={Token Games and History-Deterministic Quantitative-Automata},
  author={Udi Boker and Karoliina Lehtinen},
  booktitle={FoSSaCS},
  year={2022}
}
A nondeterministic automaton is history-deterministic if its nondeterminism can be resolved by only considering the prefix of the word read so far. Due to their good compositional properties, historydeterministic automata are useful in solving games and synthesis problems. Deciding whether a given nondeterministic automaton is historydeterministic (the HDness problem) is generally a difficult task, which might involve an exponential procedure, or even be undecidable, for example for pushdown… 
2 Citations
Between Deterministic and Nondeterministic Quantitative Automata
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It is established that good-for-games Rabin automata that recognise a Muller language are exactly of the same size as the minimal memory required for winning Muller games that have this language as their winning condition, thus proving as a consequence that chromatic memory for winning a Muller game can be exponentially larger than unconstrained memory.

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