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Combinatorial game theory and topics thereof has received a lot of attention in modelling and verification of reactive systems. I would draw your attention to this nice reference for more information.


I think Kaveh's comment is the correct answer: applications? We don't need no applications. But despite all that, combinatorial game theory does appear to have some applications in error correcting codes. See Conway and Sloane, "Lexicographic codes: Error-correcting codes from game theory", IEEE Trans. Inf. Th. 1986. More simply, if you are willing to ...

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