Notation
We fix a field $\mathbb F$ and multiplicative subgroup ${x, x^2, \ldots} = H \subset \mathbb F$. A "column" is a polynomial $P \in \mathbb F[X]$ of degree at most $|H|$. The elements of the column $P$ are $P(x), P(x^2), \ldots$. For notational convenient, we use the lowercase letter, e.g. p, to denote the value of column $P$ at a particular row, or element, of $H$.
Memory Argument Supporting Continuations
The memory Stark contains the following 7 columns.
$$(Clk, Addr_{r}, R_{r}, Addr_{s}, R_{s}, Addr_w, R_{w})$$
Additionally, the Stark specifies two input memory columns and two output memory coulumns: