Post-Compromise Security (PCS) is a property of secure-channelestablishment schemes which limits the security breach of anadversary that has compromised one of the endpoints to a certainnumber of messages, after which the channel heals. An attractiveproperty, especially in view of Snowden's revelation ofmass-surveillance, PCS features in prominent messaging protocolssuch as Signal.In this thesis, we first present two variants of Signal which improvethe PCS property. Moreover, by viewing PCS as a spectrum, rather thana binary property which schemes might or might not have, in the secondpart of the thesis we introduce a framework for quantifying andcomparing PCS security, with respect to a broad taxonomy ofadversaries. The generality and flex...