GRANT EXECUTE ON SomeProc TO SomeRole AS dbo

I have a role ExecSP which I use to manage who can execute stored procedures. EXECUTE permission is granted on all SPs to this role. I also use SQL Server Data Tools (SSDT) to manage MS SQL Server database schema. In the file where my SP is defined, I have this: CREATE PROC SomeProc AS . . . GO GRANT EXECUTE ON SomeProc TO ExecSP However, when I apply the change to the target database, and do the schema comparison, it reports differences in SP permissions, where on the DB side I have this: GRANT EXECUTE ON SomeProc TO ExecSP AS dbo I've [tried to understand](https://learn.microsoft.com/en-us/sql/t-sql/statements/grant-object-permissions-transact-sql) what AS dbo part represents, but I couldn't. My questions: 1. Does it mean that the SP will be executed with dbo rights, regardless of who is executing it? (I guess/hope it doesn't.) 2. Why is this added automatically? 3. I want this SP to be executed with the rights the caller has - how do I achieve that?