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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > RANDOM ACCESS MACHINE:
Reports tagged with Random Access Machine:
TR96-025 | 22nd March 1996
Berthold Ruf

The Computational Power of Spiking Neurons Depends on the Shape of the Postsynaptic Potentials

Recently one has started to investigate the
computational power of spiking neurons (also called ``integrate and
fire neurons''). These are neuron models that are substantially
more realistic from the biological point of view than the
ones which are traditionally employed in artificial neural nets.
It has turned out that the ... more >>>


TR08-076 | 17th June 2008
Ryan Williams

Non-Linear Time Lower Bound for (Succinct) Quantified Boolean Formulas

We prove a model-independent non-linear time lower bound for a slight generalization of the quantified Boolean formula problem (QBF). In particular, we give a reduction from arbitrary languages in alternating time t(n) to QBFs describable in O(t(n)) bits by a reasonable (polynomially) succinct encoding. The reduction works for many reasonable ... more >>>


TR23-095 | 21st June 2023
David Heath, Vladimir Kolesnikov, Rafail Ostrovsky

Tri-State Circuits: A Circuit Model that Captures RAM

We introduce tri-state circuits (TSCs). TSCs form a natural model of computation that, to our knowledge, has not been considered by theorists. The model captures a surprising combination of simplicity and power. TSCs are simple in that they allow only three wire values ($0$,$1$, and undefined – $Z$) and three ... more >>>


TR24-032 | 22nd February 2024
Joshua Cook, Dana Moshkovitz

Explicit Time and Space Efficient Encoders Exist Only With Random Access

Revisions: 1

We give the first explicit constant rate, constant relative distance, linear codes with an encoder that runs in time $n^{1 + o(1)}$ and space $\mathop{polylog}(n)$ provided random access to the message. Prior to this work, the only such codes were non-explicit, for instance repeat accumulate codes [DJM98] and the codes ... more >>>




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