We formalize a sequent calculus mG3 for multi-sequents. Our multi-sequent is a sequence of the usual sequents representing successive applications of the cut-rule. Proof-reduction rules for eliminating the cut-rule are represented as proof-construction rules in mG3. Cut-eliminability is then characterized by provability in mG3.

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Proof Construction Style Representation of Cut-Elimination

  • Ryo Takemura

摘要

We formalize a sequent calculus mG3 for multi-sequents. Our multi-sequent is a sequence of the usual sequents representing successive applications of the cut-rule. Proof-reduction rules for eliminating the cut-rule are represented as proof-construction rules in mG3. Cut-eliminability is then characterized by provability in mG3.