A Symbolic Finite-state approach for Automated Proving of Theorems in Combinatorial Game Theory
Abstract
We develop a finite-state automata approach, implemented in a Maple package 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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