Stoic Logic PDF book (1953) by Benson Mates
Excerpt from the introduction:
The aim of this study is to present a true description of the logic of the Old Stoa. It repeats most of Lukasiewicz’s published conclusions on the subject and offers additional evidence for them.
It also describes the Stoic semantical theory and compares it with certain similar modern theories, attempts to give a better account of the heretofore misunderstood Diodorean implication, points out the Stoic version of the conditionalization principle, and discusses the contention of the Stoics that their propositional logic was complete.