First-order theories are semi-decidable since there is an algorithm allowing to deduce a given theorem applying inference rules. I'm interested in the efficiency of this algorithm, i.e., given a theorem, how fast the algorithm says we have a theorem. Is it NP, or more complex? Also, for what theories (say, group theory or number theory) the efficiency could/couldn't be improved?
2026-04-11 16:50:49.1775926249
The efficiency of finding a theorem of a first-order theory
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