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diff --git a/hints/assignment_7_hint_1.mdwn b/hints/assignment_7_hint_1.mdwn
index effe6ba1..6d6b760b 100644
--- a/hints/assignment_7_hint_1.mdwn
+++ b/hints/assignment_7_hint_1.mdwn
@@ -7,9 +7,9 @@
 
 *	Where they say `r[x/n]`, that's our `g{x:=n}`, or in OCaml, `fun v -> if v = 'x' then n else g v`.
 
-*	Their function `g`, which assigns objects from the domain to pegs, corresponds to our store function, which assigns entities to indexes.
+*	Their function `g`, which assigns objects from the domain to pegs, corresponds to our store function, which assigns entities to indexes. To avoid confusion, I'll use `r` for assignments, like they do, and avoid using `g` altogether. Instead I'll use `h` for stores. (We can't use `s` because GS&V use that for something else, which they call "information states.")
 
-*	At several places they talk about some things being *real extensions* of other things. This confused me at first, because they don't ever define a notion of "real extension." (They do define what they mean by "an extension.") At one point in the paper, it emerges that what they mean is what I'd call a *proper extension*: an extension which isn't identical to the original.
+*	At several places they talk about some things being *real extensions* of other things. This confused me at first, because they don't ever define a notion of "real extension." (They do define what they mean by "extensions.") At one point in the paper, it emerges that what they mean is what I'd call a *proper extension*: an extension which isn't identical to the original.
 
 *	[More hints](/hints/assignment_7_hint_2).