Syllogism adjectives are listed in this post. Each word below can often be found in front of the noun syllogism in the same sentence. This reference page can help answer the question what are some adjectives commonly used for describing SYLLOGISM.
aristotelian, categorical, complete, deductive
disjunctive, first, following, formal
hypothetical, logical, new, perfect
practical, regular, second, simple
Hope this word list had the adjective used with syllogism you were looking for. Additional describing words / adjectives that describe / adjectives of various nouns can be found in the other pages on this website.