## Section: New Results

### Further Formalizing the Meta-Theory of Linear Logic

Participants : Kaustuv Chaudhuri, Leonardo Lima, Giselle Reis.

We have continued our formalization of the meta-theory of substructural logics by giving a fully formal proof of cut-elimination (and hence of completeness) for focused classical first-order linear logic. This is the first time that this complete system has had a fully formalized proof.

This formalization serves as a *tour de force* of Abella's
ability to reason about mutual induction and support sophisticated
binding constructs.

An extended invited paper is currently under review, to possibly
appear in a special issue of *Theoretical Computer Science* in
2018.