Full Idea
The two best know attempts to analyse away mental states are Armstrong's causal conception of such states (e.g. pain is a neural event caused by tissue damage), and Smart's 'topic-neutral translation'.
Gist of Idea
Elimination can either be by translation or by causal explanation
Source
Jaegwon Kim (Philosophy of Mind [1996], p. 67)
Book Reference
Kim,Jaegwon: 'Philosophy of Mind' [Westview 1998], p.67
A Reaction
Armstrong's view certainly seems to be missing something, since his 'pain' could do the job without consciousness. I take Smart's approach to be the germ of the right answer.