
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.
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)
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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