diff --git a/user_manual.md b/user_manual.md
index 7c503ac2..3df860d6 100644
--- a/user_manual.md
+++ b/user_manual.md
@@ -246,7 +246,7 @@ In the above example, `(and x y z)` is syntax sugar for `(and (and x y) z)`.
Note that the type for right and left associative operators is typically `(-> T T T)` for some `T`.
-### Right/Left associative with nil terminator
+### Right/Left associative with nil terminator
ALF supports a variant of the aforementioned functionality where a (ground) nil terminator is provided.
@@ -772,8 +772,11 @@ This means that when type checking the binary constant `#b0000`, its type prior
## Parameterized constants
+Recall that in [assoc-nil](#assoc-nil), when using `declare-const` to define associative operators with nil terminators, it is not possible to have the nil terminator for that operator depend on its type parameters.
+In this section, we introduce a new command `declare-parameterized-const` which overcomes this limitation.
+
In the following example,
-we declare bitvector-or where its nil terminator is bitvector zero for the given bitwidth.
+we declare bitvector-or (`bvor` in SMT-LIB) where its nil terminator is bitvector zero for the given bitwidth.
```
(declare-sort Int 0)
(declare-consts Int) ; numeral literals denote Int constants
@@ -788,6 +791,11 @@ we declare bitvector-or where its nil terminator is bitvector zero for the given
)
```
In this example, we first declare the `Int` and `BitVec` sorts, and associate numeral and binary values with those sorts (see [declare-consts](#declare-consts)).
+Then, we declare `bvor` using `declare-parameterized-const` where its parameter is an integer `m`.
+The provided parameters are in scope for the remainder of the command, which in particular means they can appear in the nil terminator of the operator.
+Here, we specify `(bvzero m)` as the nil terminator for `bvor`.
+
+
## Overloading