diff --git a/doc/glossary.md b/doc/glossary.md
index 2d4ab39..a792543 100644
--- a/doc/glossary.md
+++ b/doc/glossary.md
@@ -4,6 +4,14 @@
 
 Addition `(x + y)`, multiplication `(x * y)`, etc.
 
+#### Dependent Type
+
+A type that depends on another value. For example, a variable `n`'s type might
+be "the length of `s`", for some other
+[slice](/doc/note/slices-arrays-and-tables.md)-typed variable `s`. Dependent
+types are *a* way to implement [bounds checking](/doc/note/bounds-checking.md),
+but they're not the only way. Wuffs does not use them.
+
 #### Interval Arithmetic
 
 See the [interval arithmetic](/doc/note/interval-arithmetic.md) note.
@@ -12,10 +20,23 @@
 
 Arithmetic that wraps around at a certain modulus, such as `256` for the
 `base.u8` type. For example, if `x` is a `base.u8` with value `200`, then `(x +
-70)` has value `270`, but `(x ~mod+ 70)` has value `14`.
+70)` has value `270` and would overflow, but `(x ~mod+ 70)` has value `14`.
+
+#### Refinement Type
+
+A basic type further constrained to a subset of its natural
+[range](/doc/note/ranges-and-rects.md). For example, if `x` has type `base.u8[0
+..= 99]` then it is an unsigned 8-bit integer whose value must be less than
+`100`. Without the refinement, `x` could be as high as `255`.
+
+`base.u8[0 ..= 99]` and `base.u32[0 ..= 99]` are two different types. They can
+have different run-time representations.
+
+Non-nullable pointer types can be thought of as a refinement of regular pointer
+types, where the refined range excludes the `nullptr` value.
 
 #### Saturating Arithmetic
 
 Arithmetic that stops at certain bounds, such as `0` and `255` for the
 `base.u8` type. For example, if `x` is a `base.u8` with value `200`, then `(x +
-70)` has value `270`, but `(x ~sat+ 70)` has value `255`.
+70)` has value `270` and would overflow, but `(x ~sat+ 70)` has value `255`.