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Example project

Games as recursive coalgebras

Project sections

Research goals

  • Describe combinatorial games using coalgebras.
  • Understand how game operations arise from this description.

Open Questions

  1. 01

    Why does nim addition appear?

    Relate the sum of games to their recursive structure.

    Conjecture
  2. 02

    Which games admit this description?

    Find the assumptions needed for the construction.

    Idea

Definitions and results

The recursive structure of a game

Record definitions, proofs, and references here. Keep the questions that remain open in Open Questions.