Real quantifier elimination is doubly exponential (Q1114669)
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scientific article; zbMATH DE number 4083591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real quantifier elimination is doubly exponential |
scientific article; zbMATH DE number 4083591 |
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Real quantifier elimination is doubly exponential (English)
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1988
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The authors show that quantifier elimination over the first-order theory of real-closed fields can require doubly-exponential space (and hence time) and show that this doubly-exponential behaviour is intrinsic to the problem. This result has already been proved by Weispfenning by a completely different method in 1985, but the method of the paper is of independent interest.
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first-order theory of real-closed fields
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space
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time
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doubly-exponential behaviour
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0.8939197
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0.8765853
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0.8732846
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0.8573168
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0.8516513
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