OAuth Terminology in SAML2

A Resource Server in OAuth is a Service Provider in SAML2

An Authorization Server in OAuth is an Identity Provider in SAML2

Thankfully a Client is a User

I still often say SPIL (SAML2.0 Service Provider Initiated Login) and IDIL (SAML2.0 Identity Provider Initiated Login) on a regular basis.  I find RSIL and ASIL harder.