Characterising one-player positionality for infinite duration games on graphs

Prelegent(ci)

Pierre Ohlmann

Afiliacja

MIM UW

Termin

12 stycznia 2022 14:15

Pokój

p. 5050

Seminarium

Seminarium „Teoria automatów”

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I will present a new result, asserting that a winning condition (or, more generally, a valuation) which admits a neutral letter is positional over arbitrary arenas if and only if for all cardinals there exists a universal graph which is monotone and well-founded. Here, "positional" refers only to the protagonist; this concept is sometimes also called "half-positionality". This is the first known characterization in this setting. I will explain the result, quickly survey existing related work, show how it is proved and try to argue why it is interesting.

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