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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > NON-DETERMINISM:
Reports tagged with non-determinism:
TR98-002 | 8th January 1998
Jayram S. Thathachar

On Separating the Read-k-Times Branching Program Hierarchy

We obtain an exponential separation between consecutive
levels in the hierarchy of classes of functions computable by
polynomial-size syntactic read-$k$-times branching programs, for
{\em all\/} $k>0$, as conjectured by various
authors~\cite{weg87,ss93,pon95b}. For every $k$, we exhibit two
explicit functions that can be computed by linear-sized
read-$(\kpluso)$-times branching programs but ... more >>>


TR98-077 | 19th December 1998
Miklos Ajtai

Determinism versus Non-Determinism for Linear Time RAMs with Memory Restrictions

Revisions: 1

Our computational model is a random access machine with $n$
read only input registers each containing $ c \log n$ bits of
information and a read and write memory. We measure the time by the
number of accesses to the input registers. We show that for all $k$
there is ... more >>>


TR18-009 | 9th January 2018
Saikrishna Badrinarayanan, Yael Kalai, Dakshita Khurana, Amit Sahai, Daniel Wichs

Non-Interactive Delegation for Low-Space Non-Deterministic Computation

We construct a delegation scheme for verifying non-deterministic computations, with complexity proportional only to the non-deterministic space of the computation. Specifi cally, letting $n$ denote the input length, we construct a delegation scheme for any language veri fiable in non-deterministic time and space $(T(n);S(n))$ with communication complexity $poly(S(n))$, verifi er ... more >>>




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