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  5. Number of Quantifiers is Better than Number of Tape Cells

Number of Quantifiers is Better than Number of Tape Cells

File(s)
80-410.ps (565.2 KB)
80-410.pdf (1.95 MB)
Permanent Link(s)
https://hdl.handle.net/1813/6250
Collections
Computer Science Technical Reports
Author
Immerman, Neil
Abstract

We introduce a new complexity measure, $QN[f(n)]$, which clocks the size of sentences from predicate calculus needed to express a given property. Techniques from logic are used to prove sharp lower bounds in the measure. These results demonstrate space requirements for computations and may provide techniques for separating Time and Space complexity classes because we show that: $NSPACE [f(n)] \subseteq QN[f(n)^{2}/log(n)] \subseteq DSPACE[f(n)^{2}].$

Date Issued
1980-02
Publisher
Cornell University
Keywords
computer science
•
technical report
Previously Published as
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR80-410
Type
technical report

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