diff --git a/docs/specs/00.md b/docs/specs/00.md
index 6774f9c..1d36d2e 100644
--- a/docs/specs/00.md
+++ b/docs/specs/00.md
@@ -31,7 +31,7 @@ Mint: `Bob`
 
 ### `BlindedMessage`
 
-An encrypted ("blinded") secret and an amount sent from `Alice` to `Bob` before [minting new tokens][04]
+An encrypted ("blinded") secret and an amount sent from `Alice` to `Bob` before [minting new tokens][04]. A `BlindedMessage` is also called an `ouitput`.
 
 ```json
 {
@@ -44,7 +44,7 @@ An encrypted ("blinded") secret and an amount sent from `Alice` to `Bob` before
 
 ### `BlindedSignature`
 
-A signature on the `BlindedMessage` sent from `Bob` to `Alice` after [minting new tokens][04]. 
+A signature on the `BlindedMessage` sent from `Bob` to `Alice` after [minting new tokens][04]. A `BlindedSignature` is also called a `promise`.
 
 ```json
 {
@@ -58,7 +58,7 @@ A signature on the `BlindedMessage` sent from `Bob` to `Alice` after [minting ne
 
 ### `Proof`
 
-A `Proof` is also called a `Token` in its serialized form. `Alice` sends the serialized to `Carol` to initiate a payment. Upon receiving the token, `Carol` deserializes it and requests a split from `Bob` to exchange it for new `BlindedSignature`'s. `Carol` sends the `Proof` to `Bob` together with new `BlindedMessage`'s that she wants to have signed. 
+A `Proof` is also called a `Token` when it is [serialized](#serialization-of-proofs). `Alice` sends the serialized to `Carol` to initiate a payment. Upon receiving the token, `Carol` deserializes it and requests a split from `Bob` to exchange it for new `BlindedSignature`'s. `Carol` sends the `Proof` to `Bob` together with new `BlindedMessage`'s that she wants to have signed. 
 
 ```json
 {