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math.CO2026
A Ring structure on the Class of Combinatorial Games
Harry Altman, Paolo Lipparini
J. Conway defined useful operations on the Class of combinatorial games and also introduced a notion of equivalence between games. Conway showed that, under his equivalence, games…
math.CO2025
Infinite sums of combinatorial games (Dadaist games)
Paolo Lipparini
We propose an interpretation of the infinite sum of combinatorial games. In such an interpretation, plays involve infinite runs, but without loops. The notion of a run is quite nat…