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The commentary on Aristotles Peri hermeneias is certainly one of the most important texts in the corpus of Peter Abaelards works on logic. The author discusses the Aristotelian text in an unbiased and thorough manner without avoiding any difficulties, and thereby addresses all basic issues of classical logic and semantics. The text forms part of the so-called mixed commentaries and is characterised by short self-contained systematic discussions within an explication of the Aristotelian text. Of particular significance are the discussions of predication (chapter 3), future contingentia (chapter 9) and modal logic (chapters 12-14). In 1927, this substantial commentary was edited by Bernhard Geyer. The edition was based on the only manuscript of the text then known to scholarship (Milan, Biblioteca Ambrosiana M 63 sup., fols. 45r-72r). In 1938, M. Grabmann discovered a second manuscript of the work (Berlin, Staatsbibliothek Preussischer Kulturbesitz, lat. fol 624, fols. 97r-146r). As L. Minio-Paluello has shown, the final part of Abaelards text, which includes the long excursus on modal logic and the commentary on chapters 12-14, is accurately preserved only in this second manuscript. He edited this final part in 1958. A detailed comparison of the two manuscripts showed that the differences between them are so numerous and noteworthy that a new critical edition was necessary. Geyers and Minio-Paluellos editions could be improved upon in several places. Aristotles text in the version known by Abaelard is also included.