Wikipedia defines "begging the question" as
To "beg the question" is to put forward an argument whose validity requires that its own conclusion is true.
I assume this is something Aristotle's term logic does not permit. Wikipedia quotes Hugh Tredennick's translation of Prior Analytics II xvi 64b28–65a26:
...If, however, the relation of B to C is such that they are identical, or that they are clearly convertible, or that one applies to the other, then he is begging the point at issue.... [B]egging the question is proving what is not self-evident by means of itself...
I assume this means one cannot have the following in Aristotle's term logic:
Premise 1: All B is C. Premise 2: All B is C. Conclusion: All B is C.
However, using the proof checker associated with forall x: Calgary Remix I can construct a valid argument in truth-functional logic using "reiteration" (page 123-4) by repeating a line I already have.
This is derived from conjunction introduction using two identical conjuncts and then using conjunction elimination to get one of those identical conjuncts. (page 136)
Could this reiteration rule, or permitting conjunction introduction to use two identical conjuncts, be considered begging the question?
Edit 10/6/2018: I was reading Frederic Fitch's Symbolic Logic: An Introduction and noticed that I could have simplified the proof I gave above using reiteration by doing the following (page 26):
5.13. There is nothing that excludes a formal proof from possessing only a single item. The following single-item proof is a hypothetical proof of p on the hypothesis p. It is a proof of p in the sense that p is the last (and only) item of the proof.
This is how it looks in Klement's proof checker:
Fitch, F. B. (1953). Symbolic Logic; an Introduction.
P. D. Magnus, Tim Button with additions by J. Robert Loftis remixed and revised by Aaron Thomas-Bolduc, Richard Zach, forallx Calgary Remix: An Introduction to Formal Logic, Winter 2018. http://forallx.openlogicproject.org/
Wikipedia, "Begging the question" https://en.wikipedia.org/wiki/Begging_the_question