In computational complexity theory, the Sipser–Lautemann theorem or Sipser–Gács–Lautemann theorem states that bounded-error probabilistic polynomial (BPP)...

applications in theoretical computer science. The Sipser–Lautemann theorem or Sipser–Gács–Lautemann theorem states that Bounded-error Probabilistic Polynomial...

and Clemens Lautemann to form what is now known as the Sipser–Gács–Lautemann theorem. Sipser also established a connection between expander graphs and...

dichotomy theorem (computational complexity theory) Sipser–Lautemann theorem (probabilistic complexity theory) (structural complexity theory) Smn theorem (recursion...

as "representatives" of the class for which they are complete. Sipser–Lautemann theorem: B P P ⊂ Σ 2 P ∩ Π 2 P {\displaystyle \mathrm {BPP} \subset \Sigma...

hierarchy and therefore it is contained in PH. More precisely, the Sipser–Lautemann theorem states that B P P ⊆ Σ 2 ∩ Π 2 {\displaystyle {\mathsf {BPP}}\subseteq...

expressing "symmetric alternation". This is a generalization of Sipser–Lautemann theorem. AM is contained in NP/poly, the class of decision problems computable...

show that the class SP 2 contains MA (by a generalization of the Sipser–Lautemann theorem) and Δ 2 P {\displaystyle \Delta _{2}^{P}} (more generally, P S...

and some improvements of it. Gacs also gave contribution in the Sipser–Lautemann theorem. His main contribution and research focus were centered on cellular...