Unary counters
Actual to logical interpreters
STANFORD UNIV CA DEPT OF COMPUTER SCIENCE.
vau
Solid State Physics.
Algorithms.
Length.
Regular expressions
Square roots.
Logic circuits.
Arrays.
Circuit layouts
PLA(Programmable Logic Arrays)
Silicon.
Ullman
Jeffrey D.
Ullman, Jeffrey D.
Automation.
Hierarchies.
McNaughton Yamada algorithm
Equivalent circuits.
Theoretical Mathematics.
Complements(Mathematics)
Coding.
The Compilation of Regular Expressions into Integrated Circuits.
APR 1980
3
1980
We consider the design of integrated circuits to implement arbitrary regular expressions. In general, we may use the McNaughton-Yamada algorithm to convert a regular expression of length n into a nondeterministic finite automation with at most 2n states and 4n transitions. Instead of converting the nondeterministic device to a deterministic one, we propose two ways of implementing the nondeterministic device directly. First, we could produce a PLA (programmable logic array) of approximate dimensions 4n x 4n by representing the states directly by columns, rather than coding the states in binary. This approach, while theoretically suboptimal, makes use of carefully developed technology and, because of the care with which PLA implementation has been done, may be the preferred technique in many real situations. Another approach is to use the hierarchical structure of the automation produced from the regular expression to guide a hierarchical layout of the circuit. This method produces a circuit 0(square root of n) on a side and is, to within a constant factor, the best that can be done in general. (Author).
227463743
en
Integrated circuits.
NFA(Nondeterministic Finite Automation)
Electrical and Electronic Equipment.
Strings(Empty)
Defense Technical Information Center
Ft. Belvoir
APR 1980
Floyd
Robert W.
Floyd, Robert W.
Computer programming.
Circuit analysis.