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arXiv · 0710.4951

A Symbolic Finite-state approach for Automated Proving of Theorems in Combinatorial Game Theory

Thotsaporn ``Aek'' Thanatipanonda·Doron Zeilberger
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Abstract

We develop a finite-state automata approach, implemented in a Maple package {\tt ToadsAndFrogs} available from our websites, for conjecturing, and then rigorously proving, values for large families of positions in Richard Guy's combinatorial game ``Toads and Frogs''. In particular, we prove a conjecture of Jeff Erickson.

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Thotsaporn ``Aek'' Thanatipanonda, Doron Zeilberger. 2007-10-25. A Symbolic Finite-state approach for Automated Proving of Theorems in Combinatorial Game Theory. https://arxiv.org/abs/0710.4951

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