Definition

Define the class 𝐄𝐗𝐏=∪c≥1𝐃𝐓𝐈𝐌𝐄(2nc)\mathbf{EXP} = \cup_{c \geq 1} \mathbf{DTIME}(2^{n^c}).

Notes

  • exponential-time analog of P
  • 𝐏⊆𝐍𝐏⊆𝐄𝐗𝐏\mathbf{P} \subseteq \mathbf{NP} \subseteq \mathbf{EXP}

References

  1. D. P. Williamson, D. B. Shmoys. Approximation Algorithms, Cambridge University Press, 2010, pp. 41, 56-57.