5 problems

For each positive integer $k$, a P-position of $k\times n$ Chomp consists of a weakly decreasing sequence of row lengths. Unique-extension generalization conjecture. If the Unique…

A triple $(a,b,c)$ extends when it occurs as the first three row lengths of a P-position $(a,b,c,d)$ of $4\times n$ Chomp. Let $\mathrm{width}(c)$ denote the width of the band of e…

A triple $(a,b,c)$ extends if there is a non-negative integer $d$ such that $(a,b,c,d)$ is a P-position of $4\times n$ Chomp. Period-112 modular-structure conjecture. The set of ex…

A P-position of $4\times n$ Chomp is a quadruple $(a,b,c,d)$ of row lengths with $a\geq b\geq c\geq d\geq 0$. Asymptotic ratio conjecture. For P-positions $(a,b,c,d)$ with $a$ tend…

A position in $4 \times n$ Chomp is a quadruple $(a,b,c,d)$ of non-negative integers with $a\geq b\geq c\geq d\geq 0$; a P-position is a position from which the previous player has…