Succinct representations of graphs
Information and Control
Bounded-width polynomial-size branching programs recognize exactly those languages in NC1
Journal of Computer and System Sciences - 18th Annual ACM Symposium on Theory of Computing (STOC), May 28-30, 1986
A new pebble game that characterizes parallel complexity classes
SIAM Journal on Computing
Polynomial space counting problems
SIAM Journal on Computing
Computing algebraic formulas using a constant number of registers
SIAM Journal on Computing
A uniform approach to define complexity classes
Theoretical Computer Science
Succinct representation, leaf languages, and projection reductions
Information and Computation
Nondeterministic NC1 computation
Journal of Computer and System Sciences - Eleventh annual conference on structure and complexity 1996
Uniform characterizations of complexity classes
ACM SIGACT News
Introduction to Circuit Complexity: A Uniform Approach
Introduction to Circuit Complexity: A Uniform Approach
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Consider nondeterministic polynomial-time Turing machine that on input x outputs a 3 × 3 matrix with entries from {-1,0,1} on each of its paths. Define the function f where f(x) is the upper left entry in the product of all these matrices (in an order of the paths to be made precise below). We show that the class of functions f computable as just described is exactly the class FPSPACE of integer-valued functions computable by polynomial-space Turing machines. Along the way we obtain characterizations of FPSPACE in terms of arithmetic circuits and straight-line programs.