Deborah Mayo claims to have refuted Birnbaum’s argument that the Likelihood Principle is a logical consequence of the Sufficiency and Conditionality Principles. However, this claim fails because her interpretation of the Conditionality Principle is different from Birnbaum’s. Birnbaum’s proof cannot be so readily dismissed.
"Discussion of “On the Birnbaum Argument for the Strong Likelihood Principle”." Statist. Sci. 29 (2) 240 - 241, May 2014. https://doi.org/10.1214/14-STS470