Title
Embedding Computation in One-Dimensional Automata by Phase Coding Solitons
Abstract
It is shown that some kind of meaningful computation can be embedded in very simple, microscopically homogeneous, one-dimensional automata, and in particular filter automata with a parity next-state rule. A systematic procedure is given for generating moving, periodic structures (particles). These particles exhibit soliton-like properties; that is, they often pass through one another with phase shifts. Ways to encode information in the phase of these particles are discussed. The search for useful logical operations is reduced to a search for paths in certain graphs. As a demonstration of principle, the details of implementing a carry-ripple adder are given
Year
DOI
Venue
1988
10.1109/12.2143
IEEE Trans. Computers
Keywords
Field
DocType
adders,carry logic,filters,finite automata,graph theory,parity,phase modulation,solitons,carry-ripple adder,cellular automata,computation embedding,filter automata with a parity next-state rule,one-dimensional automata,parallel computation,particle generation,path searching in graphs,phase coding,solitons
Graph theory,Quantum finite automata,Embedding,Adder,Computer science,Automaton,Algorithm,Finite-state machine,ω-automaton,Computation
Journal
Volume
Issue
ISSN
37
2
0018-9340
Citations 
PageRank 
References 
14
8.29
1
Authors
3
Name
Order
Citations
PageRank
Kenneth Steiglitz11128660.13
I. Kamal2148.29
A. Watson3148.29