I have a little problem with this reaction, a have to do the synthesis of a pyrane from a lactone , All R most be only alkyl groups any idea???
I think the 1st step is to eliminate all the -OH groups, and the major product should be conjugated one.
Then, additions of alkyl groups, e.g. 1,4 addition (not quite sure).
About the C=O group, use ylide to convert to C=CRR'.