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On the elimination of quantifier-free cuts

Authors: Daniel Weller 0001;

On the elimination of quantifier-free cuts

Abstract

When investigating the complexity of cut-elimination in first-order logic, a natural subproblem is the elimination of quantifier-free cuts. So far, the problem has only been considered in the context of general cut-elimination, and the upper bounds that have been obtained are essentially double exponential. In this note, we observe that a method due to Dale Miller can be applied to obtain an exponential upper bound.

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Keywords

Herbrand’s theorem, cut-elimination, Complexity, Classical first-order logic, Article, Theoretical Computer Science, Herbrand's theorem, quantifier-free cuts, exponential upper bound, Cut-elimination, Cut-elimination and normal-form theorems, complexity, first-order logic, Computer Science(all)

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
Green
hybrid