Under the auspices of the Computational Complexity Foundation (CCF)

REPORTS > KEYWORD > RANDOMIZED BRANCHING PROGRAMS:
Reports tagged with Randomized Branching Programs:
TR95-054 | 24th November 1995
Farid Ablayev, Marek Karpinski

#### On the Power of Randomized Branching Programs

We define the notion of a randomized branching program in
the natural way similar to the definition of a randomized
circuit. We exhibit an explicit function $f_{n}$ for which
we prove that:
1) $f_{n}$ can be computed by polynomial size randomized
... more >>>

TR98-004 | 13th January 1998
Farid Ablayev, Marek Karpinski

#### On the Power of Randomized Ordered Branching Programs

We introduce a model of a {\em randomized branching program}
in a natural way similar to the definition of a randomized circuit.
We exhibit an explicit boolean function
$f_{n}:\{0,1\}^{n}\to\{0,1\}$ for which we prove that:

1) $f_{n}$ can be computed by a polynomial size randomized
... more >>>

TR98-011 | 29th January 1998
Farid Ablayev, Marek Karpinski

#### A Lower Bound for Integer Multiplication on Randomized Read-Once Branching Programs

We prove an exponential lower bound ($2^{\Omega(n/\log n)}$) on the
size of any randomized ordered read-once branching program
computing integer multiplication. Our proof depends on proving
a new lower bound on Yao's randomized one-way communication
complexity of certain boolean functions. It generalizes to some
other ... more >>>

TR98-038 | 9th July 1998
Marek Karpinski

#### On the Computational Power of Randomized Branching Programs

We survey some upper and lower bounds established recently on
the sizes of randomized branching programs computing explicit
boolean functions. In particular, we display boolean
functions on which randomized read-once ordered branching
programs are exponentially more powerful than deterministic
or nondeterministic read-$k$-times branching programs for ... more >>>

TR99-009 | 26th March 1999
Marek Karpinski, Rustam Mubarakzjanov

#### A Note on Las Vegas OBDDs

We prove that the error-free (Las Vegas) randomized OBDDs
are computationally equivalent to the deterministic OBDDs.
In contrast, it is known the same is not true for the