Title :
ALOGTIME and a conjecture of S.A. Cook
Abstract :
Using sequential, machine-independent characterizations of the parallel complexity classes ACk and NCk, the author establishes a conjecture of S.A. Cook (1975) regarding polynomial size Frege proofs for a certain infinite family. A related result is established with constant formula-depth polynomial size Frege proofs for a system AV related to uniform AC0 functions
Keywords :
computational complexity; formal logic; theorem proving; ALOGTIME; infinite family; machine-independent characterizations; parallel complexity classes; polynomial size Frege proofs; sequential; Equations; Erbium; Logic; Polynomials;
Conference_Titel :
Logic in Computer Science, 1990. LICS '90, Proceedings., Fifth Annual IEEE Symposium on e
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-8186-2073-0
DOI :
10.1109/LICS.1990.113744