Computation theoretic aspects of cellular automata

K Culik II, LP Hurd, S Yu - Physica D: Nonlinear Phenomena, 1990 - Elsevier
Cellular automata may be viewed as computational models of complex systems. They also
can be seen as continuous functions on a particular family of compact metric spaces. This …

On real-time cellular automata and trellis automata

C Choffrut, K Culik - Acta Informatica, 1984 - Springer
It is shown that f (n)-time one-way cellular automata are equivalent to f (n)-time trellis
automata, the real-time one-way cellular automata languages are closed under reversal, the …

Some results concerning linear iterative (systolic) arrays

OH Ibarra, MA Palis, SM Kim - Journal of Parallel and Distributed …, 1985 - Elsevier
Characterizations of various types of linear iterative (systolic) arrays in terms of single
processor sequential machines are given. Using these characterizations, new or improved …

On one-way cellular arrays

OH Ibarra, T Jiang - SIAM Journal on Computing, 1987 - SIAM
There are two simple models of parallel language recognizes: one-way cellular array (OCA)
and one-way iterative array (OIA). For inputs of length n, both arrays consist of n identical …

Systolic trellis automatata

K Culik, J Gruska, A Salomaa - International Journal of Computer …, 1984 - Taylor & Francis
A new type of a systolic automaton, referred to as a systolic trellis automaton, is investigated.
It consists of a triangularly shaped system of hexagonally connected processors (functional …

Cellular automata–a computational point of view

M Kutrib - New developments in formal languages and …, 2008 - Springer
The advantages of homogeneous arrays of interacting processing elements are simplicity
and uniformity. It turned out that a large array of not very powerful elements operating in …

Sequential machine characterizations of trellis and cellular automata and applications

OH Ibarra, SM Kim, S Moran - SIAM Journal on Computing, 1985 - SIAM
We look at a simple, but general model, of a systolic system called a trellis automaton (TA). A
TA is equivalent in computational power to a one-dimensional unbounded cellular …

[PDF][PDF] On real time and linear time cellular automata

W Bucher, K Culik II - RAIRO. Informatique théorique, 1984 - numdam.org
On real time and linear time cellular automata Page 1 RAIRO INFORMATIQUE
THÉORIQUE W. BUCHER K. CULIK II On real time and linear time cellular automata RAIRO …

On the power of one-way communication

JH Chang, OH Ibarra, A Vergis - Journal of the ACM (JACM), 1988 - dl.acm.org
In this paper, a very simple model of parallel computation is considered, and the question of
how restricting the flow of data to be one way compares with two-way flow is studied. It is …

Two-dimensional iterative arrays: Characterizations and applications

OH Ibarra, MA Palis - Theoretical Computer Science, 1988 - Elsevier
We analyse some properties of two-dimensional iterative and cellular arrays. For example,
we show that arrays operating in T (n) time can be sped up to operate in time n+ (T (n)− n) k …