Among computational constraints, I think the most significant/fundamental are, in order,
Semicomputability
P (polynomial time)
PSPACE
Computability
BPP
NP
Δ11 (first-order hypercomputable)
All the rest (BQP, PP, RP, EXPTIME, etc)
Among computational constraints, I think the most significant/fundamental are, in order,
Semicomputability
P (polynomial time)
PSPACE
Computability
BPP
NP
Δ11 (first-order hypercomputable)
All the rest (BQP, PP, RP, EXPTIME, etc)