diff --git a/test_programs/execution_success/double_verify_nested_proof/src/main.nr b/test_programs/execution_success/double_verify_nested_proof/src/main.nr
index 0466f2a226d..95d4b6f6995 100644
--- a/test_programs/execution_success/double_verify_nested_proof/src/main.nr
+++ b/test_programs/execution_success/double_verify_nested_proof/src/main.nr
@@ -1,10 +1,18 @@
 use dep::std;
 
+// This circuit aggregates two recursive proofs from `double_verify_proof_recursive`.
+// Recursive aggregation is a backend-specific process and it is expected for backends 
+// to attach any extra data they may need (e.g. aggregation objects) to their proofs. 
+// Whether the proof we are verifying itself contains a recursive proof is expected to be 
+// a circuit constant by the barretenberg. Barretenberg hides this circuit constant in the 
+// proof serialization. Thus, we must have separate circuits for verifying a normal proof and a recursive proof
+// with two different proof sizes.
 fn main(
     verification_key: [Field; 114],
-    // This is the proof without public inputs attached.
-    // 
-    // This means: the size of this does not change with the number of public inputs.
+    // This is the proof without user-specified public inputs attached.
+    //
+    // This means: the size of this does not change with the number of public inputs unless
+    // they have been attached by the backend.
     proof: [Field; 109],
     public_inputs: pub [Field; 1],
     // This is currently not public. It is fine given that the vk is a part of the circuit definition.
diff --git a/test_programs/execution_success/double_verify_proof/src/main.nr b/test_programs/execution_success/double_verify_proof/src/main.nr
index 4edf5c5af9f..d832ce0f049 100644
--- a/test_programs/execution_success/double_verify_proof/src/main.nr
+++ b/test_programs/execution_success/double_verify_proof/src/main.nr
@@ -1,5 +1,6 @@
 use dep::std;
 
+// This circuit aggregates two proofs from `assert_statement_recursive`.
 fn main(
     verification_key: [Field; 114],
     // This is the proof without public inputs attached.
diff --git a/test_programs/execution_success/double_verify_proof_recursive/src/main.nr b/test_programs/execution_success/double_verify_proof_recursive/src/main.nr
index e4c6926efbc..86b4971c3a6 100644
--- a/test_programs/execution_success/double_verify_proof_recursive/src/main.nr
+++ b/test_programs/execution_success/double_verify_proof_recursive/src/main.nr
@@ -1,5 +1,6 @@
 use dep::std;
 
+// This circuit aggregates two proofs from `assert_statement_recursive`.
 #[recursive]
 fn main(
     verification_key: [Field; 114],