diff --git a/include/psa/crypto.h b/include/psa/crypto.h
index 683feb8..9c59688 100644
--- a/include/psa/crypto.h
+++ b/include/psa/crypto.h
@@ -750,7 +750,7 @@
  */
 static psa_hash_operation_t psa_hash_operation_init(void);
 
-/** Start a multipart hash operation.
+/** Set up a multipart hash operation.
  *
  * The sequence of operations to calculate a hash (message digest)
  * is as follows:
@@ -805,7 +805,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or already completed).
+ *         The operation state is not valid (not set up, or already completed).
  * \retval #PSA_ERROR_INSUFFICIENT_MEMORY
  * \retval #PSA_ERROR_COMMUNICATION_FAILURE
  * \retval #PSA_ERROR_HARDWARE_FAILURE
@@ -842,7 +842,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or already completed).
+ *         The operation state is not valid (not set up, or already completed).
  * \retval #PSA_ERROR_BUFFER_TOO_SMALL
  *         The size of the \p hash buffer is too small. You can determine a
  *         sufficient buffer size by calling #PSA_HASH_SIZE(\c alg)
@@ -882,7 +882,7 @@
  *         The hash of the message was calculated successfully, but it
  *         differs from the expected hash.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or already completed).
+ *         The operation state is not valid (not set up, or already completed).
  * \retval #PSA_ERROR_INSUFFICIENT_MEMORY
  * \retval #PSA_ERROR_COMMUNICATION_FAILURE
  * \retval #PSA_ERROR_HARDWARE_FAILURE
@@ -973,7 +973,7 @@
  */
 static psa_mac_operation_t psa_mac_operation_init(void);
 
-/** Start a multipart MAC calculation operation.
+/** Set up a multipart MAC calculation operation.
  *
  * This function sets up the calculation of the MAC
  * (message authentication code) of a byte string.
@@ -1031,7 +1031,7 @@
                                 psa_key_handle_t handle,
                                 psa_algorithm_t alg);
 
-/** Start a multipart MAC verification operation.
+/** Set up a multipart MAC verification operation.
  *
  * This function sets up the verification of the MAC
  * (message authentication code) of a byte string against an expected value.
@@ -1103,7 +1103,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or already completed).
+ *         The operation state is not valid (not set up, or already completed).
  * \retval #PSA_ERROR_INSUFFICIENT_MEMORY
  * \retval #PSA_ERROR_COMMUNICATION_FAILURE
  * \retval #PSA_ERROR_HARDWARE_FAILURE
@@ -1142,7 +1142,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or already completed).
+ *         The operation state is not valid (not set up, or already completed).
  * \retval #PSA_ERROR_BUFFER_TOO_SMALL
  *         The size of the \p mac buffer is too small. You can determine a
  *         sufficient buffer size by calling PSA_MAC_FINAL_SIZE().
@@ -1181,7 +1181,7 @@
  *         The MAC of the message was calculated successfully, but it
  *         differs from the expected MAC.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or already completed).
+ *         The operation state is not valid (not set up, or already completed).
  * \retval #PSA_ERROR_INSUFFICIENT_MEMORY
  * \retval #PSA_ERROR_COMMUNICATION_FAILURE
  * \retval #PSA_ERROR_HARDWARE_FAILURE
@@ -1412,7 +1412,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or IV already set).
+ *         The operation state is not valid (not set up, or IV already set).
  * \retval #PSA_ERROR_BUFFER_TOO_SMALL
  *         The size of the \p iv buffer is too small.
  * \retval #PSA_ERROR_INSUFFICIENT_MEMORY
@@ -1446,7 +1446,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, or IV already set).
+ *         The operation state is not valid (not set up, or IV already set).
  * \retval #PSA_ERROR_INVALID_ARGUMENT
  *         The size of \p iv is not acceptable for the chosen algorithm,
  *         or the chosen algorithm does not use an IV.
@@ -1482,7 +1482,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, IV required but
+ *         The operation state is not valid (not set up, IV required but
  *         not set, or already completed).
  * \retval #PSA_ERROR_BUFFER_TOO_SMALL
  *         The size of the \p output buffer is too small.
@@ -1520,7 +1520,7 @@
  * \retval #PSA_SUCCESS
  *         Success.
  * \retval #PSA_ERROR_BAD_STATE
- *         The operation state is not valid (not started, IV required but
+ *         The operation state is not valid (not set up, IV required but
  *         not set, or already completed).
  * \retval #PSA_ERROR_BUFFER_TOO_SMALL
  *         The size of the \p output buffer is too small.