NDLI: Real-time computation by n-dimensional iterative arrays of finite-state machines

Content Provider	IEEE Xplore Digital Library
Author	Cole, Stephen N.
Copyright Year	1966
Abstract	An n-dimensional iterative array of finitestate machines (abbreviated nD) is a special type of real-time tape acceptor. The principal results are as follows: 1. nD's have equivalent forms With simplified stencils and length k encodings of the input alphabet. 2. The set of palindromes and the set of tapes of the form ττ are accepted by 1D's. 3. The sets of tapes accepted by nD's are a Boolean algebra. 4. The sets of tapes accepted by nD's are not closed under multiplication or reflection. 5. There exists a simple phrase-structure language not accepted by any nD in any dimension n. 6. The computing power of the class of nD's is strictly less than the computing power of the class of (n+1)D's.
Starting Page	53
Ending Page	77
File Size	2590488
Page Count	25
File Format	PDF
ISSN	02724847
DOI	10.1109/SWAT.1966.17
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1966-10-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Real time systems Upper bound Turing machines Automata Character generation Encoding Reflection Boolean algebra Time factors Computational complexity
Content Type	Text
Resource Type	Article

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Real-time computation by n-dimensional iterative arrays of finite-state machines