=========================
The Categories-commentary, C8, is preserved in variously revised forms in the following manuscripts, and the revised versions are tightly connected to other commentaries, C7 and C14.
* * *
The relation between these manuscripts is complicated.
(1) From the beginning to the end of ch. 5 of the Categories, LL*MPV give us substantially the same text. But V gives many additions, which are not found in LL*M. So does P, too, quite independently of V; moreover, P rewrites various passages which are common to LL*MV. Until the end of ch. 5, both Q (C7) and A (C14) rewrite the whole text, Q rather independently of the LL*MPV version, A preserving some passages of the LL*MPV. Some V-additions are taken from C7.
(2) As for ch. 6 of the Categories, all the manuscripts, PVQA (LL*M end before this part), give us different texts from each other. In particular, each manuscript develops different theories on various species of Quantity, numerus, oratio, linea, tempus, and locus, in which we can observe the development of the discussion in PQVA in that chronological order, and the later versions more or less share verbatim the same phrases as former ones.
(3) From ch. 7 to the end (up to ch. 14, all the manuscripts neglect ch. 15), Q and A give us exactly the same text except for scribal errors. Up to the lemma ALIUD VERO GENUS (c. 8, 9a14, 64.14), V shares some phrases with P-version, and much more with QA-version. From the lemma ALIUD VERO GENUS up to the end (ch. 14), P and V agree with each other except for some P- and V-additions. The PV- and QA-versions sometimes share the same passages.
* * *
Up to the end of ch. 5, we may safely consider the part common to all the manuscripts (LL*MPV) as the original version of C8. I believe that the original version was written by William of Champeaux himself shortly after the arrival of Peter Abelard at Paris around 1100.
It is highly likely that William stopped writing C8 at the end of ch. 5, because of the unsettled controversy with Abelard concerning oratio, which I argue in Iwakuma 2009.
I believe that all the other versions were made by students of William in the following chronological order, all in the first decade of the 12th century, before the controversy on universals.
(1) C8, left unfinished by William, was completed by the P-compliler, who belonged to William's side but certainly not William himself shortly after the arrival of Peter Abelard at Paris in ca. 1100.
(2) Then, the Q-compliler wrote C7, rather independently from William's original and P-versions of C8.
(3) Afterwards, the V-compiler composed his version as a patchwork from the original and P-versions of C8 and C7 together with his own comments and additions.
(4) Finally, the A-compiler composed C14 mainly from the V-version of C8 and C7.
=========================