### Equivalences and Congruences on Infinite Conway Games

Furio Honsell, Marina Lenisa, Rekha Redamalla (2012)

RAIRO - Theoretical Informatics and Applications

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Taking the view that infinite plays are , we study and . These admit a sharp presentation, where non-terminating games are seen as a and game contructors, such as , as . We have shown, in a previous paper, that Conway’s theory of terminating games can be rephrased naturally in terms of game . Namely, various conceptually independent notions of can be defined and shown to coincide on Conway’s terminating games. These are...