Full Idea
Mind is supervenient on brain in the following respect: type-identical neurophysiological causes have type-identical mentalistic effects.
Gist of Idea
Mind and brain are supervenient in respect of cause and effect
Source
John Searle (The Rediscovery of the Mind [1992], Ch. 5.V)
Book Reference
Searle,John R.: 'The Rediscovery of the Mind' [MIT 1999], p.124
A Reaction
An interesting statement of what might be meant by 'supervenience'. Searle's version implies necessity in the link (but not identity). I take him to imply that a zombie is impossible.