Four words, and they are the whole brief: व्याख्यानं
वार्त्तिकम्, "a vārttika is an explanation." Not a restatement, not a summary
— an explanation, which presupposes something in the original left open
enough to need one. And what a vārttika actually checks, in the tradition's own
three-part formula:
उक्तानुक्तदुरुक्तचिन्ता वार्त्तिकम्
"Consideration of what is said, what is unsaid, and what is
badly said — that is a vārttika's business." (rendering mine)
Three verbs, three different repair jobs, and this page is organised around exactly
that split — below.
मुनित्रयम् — the three sages, and why order matters.
Pāṇini states the grammar. Kātyāyana tests it. Patañjali, a century or two later
still, adjudicates Kātyāyana's tests in the
महाभाष्यम् —
accepting some vārttikas, refining others, occasionally overruling them. The
tradition states its own precedence rule for this chain in four words:
यथोत्तरं मुनीनां प्रामाण्यम्, "the later sage's authority
[prevails]." That does not make Pāṇini's text provisional — it makes a vārttika the
opening move in an argument that is still being adjudicated by the time Patañjali
writes, not a corrigendum filed against a closed book. Page
A9 is about how Patañjali actually argues; this
page stops at what Kātyāyana hands him.