We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...