Circuit complexity before the dawn of the new millennium [chapter]

Eric Allender
1996 Lecture Notes in Computer Science  
The 1980's saw rapid and exciting development of techniques for proving lower bounds in circuit complexity. This pace has slowed recently, and there has even been work indicating that quite di erent proof techniques must be employed to advance beyond the current frontier of circuit lower bounds. Although this has engendered pessimism in some quarters, there have in fact been many positive developments in the past few years showing that signi cant progress is possible on many fronts. This paper
more » ... s a necessarily incomplete survey of the state of circuit complexity a s w e a wait the dawn of the new millennium.
doi:10.1007/3-540-62034-6_33 fatcat:lqnxje6dkne3nnuqp2dsn37s7y