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Invertibility in Sequent Calculi

 

Title: Invertibility in Sequent Calculi
Author: Peter Chapman
Submission date: 2009-08-28
Abstract: The invertibility of the rules of a sequent calculus is important for guiding proof search and can be used in some formalised proofs of Cut admissibility. We present sufficient conditions for when a rule is invertible with respect to a calculus. We illustrate the conditions with examples. It must be noted we give purely syntactic criteria; no guarantees are given as to the suitability of the rules.
Status: [ok] This is the development version of this entry generated for Isabelle-25-Dec-2009. The development version might change over time and is only permanently archived at Isabelle release points. It is provided as a preview of the next upcoming release. Please refer to release versions only in citations. If the status shows [FAIL], the links below will point to the last working version if any.