Mechanising a proof of Craig's Interpolation Theorem for intuitionistic logic in nominal isabelle
CHAPMAN, PETER, McKinna, James and Urban, Christian (2008) Mechanising a proof of Craig's Interpolation Theorem for intuitionistic logic in nominal isabelle In: Proceedings of the 9th AISC international conference, the 15th Calculemas symposium, and the 7th international MKM conference on Intelligent Computer Mathematics, 31 July - 1 August, 2011, Birmingham, UK, July 28 - August 1, 2008.
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Official URL: http://dl.acm.org/citation.cfm?id=1428596
Craig's Interpolation Theorem is an important meta- theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic without function symbols or equality, with the intention of giving insight into how other such results in proof theory might be mechanically verified, notable cut-admissibility. We use the package Nominal Isabelle, which easily deals with the binding issues in the quantifier cases of the proof.
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