Normalisation and subformula property for a system of intuitionistic logic with general introduction and elimination rules

Synthese 199 (5-6):14223-14248 (2021)
  Copy   BIBTEX


This paper studies a formalisation of intuitionistic logic by Negri and von Plato which has general introduction and elimination rules. The philosophical importance of the system is expounded. Definitions of ‘maximal formula’, ‘segment’ and ‘maximal segment’ suitable to the system are formulated and corresponding reduction procedures for maximal formulas and permutative reduction procedures for maximal segments given. Alternatives to the main method used are also considered. It is shown that deductions in the system convert into normal form and that deductions in normal form have the subformula property.

Author's Profile

Nils Kürbis
Ruhr-Universität Bochum


Added to PP

398 (#43,115)

6 months
158 (#20,200)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?