### 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.

### License

GNU Lesser General Public License (LGPL)

### Topics

- Logic/Proof theory

### Session SequentInvertibility

- MultiSequents
- SingleSuccedent
- NominalSequents
- ModalSequents
- SRCTransforms
- SequentInvertibility

## Cite

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SequentInvertibility-AFP

    @article{SequentInvertibility-AFP,
      author  = {Peter Chapman},
      title   = {Invertibility in Sequent Calculi},
      journal = {Archive of Formal Proofs},
      month   = {August},
      year    = {2009},
      note    = {\url{https://isa-afp.org/entries/SequentInvertibility.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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