The paper by Mayo claims to provide a new clarification and critique of Birnbaum’s argument for showing that sufficiency and conditionality principles imply the likelihood principle. However, much of the arguments go back to arguments made thirty to forty years ago. Also, the main contention in the paper, that Birnbaum’s arguments are not valid, seems to rest on a misunderstanding.
"Discussion of “On the Birnbaum Argument for the Strong Likelihood Principle”." Statist. Sci. 29 (2) 259 - 260, May 2014. https://doi.org/10.1214/14-STS475