We wish everyone a happy new year and are happy to announce the first session of our PTS Seminar Series in 2026 coming up soon!
On Tuesday, February 24, 5pm (UTC+0), Leonardo Ceragioli (University of Milano, LUCI Lab) will present his work with the title "SASC Sequent Calculi for Classical and (Dual) Intuitionistic Logic".
Here is the abstract:
"This
presentation explores a reformulation of logical inferentialism
centered on SASC sequent calculi, that is, systems constrained to a
single premise and a single conclusion. The research challenges
traditional inferentialist frameworks that permit multiple premises (and
sometimes even multiple conclusions).
To substantiate this
position, we introduce novel, cut-free sequent calculi tailored for
first-order classical, intuitionistic, and dual intuitionistic logics.
These systems are evaluated based on the criteria of weak separability
and non-circularity. A key conceptual innovation is the classification
of inference rules as either "liberal" or "puritan", a distinction based
on their inferential complexity within this restricted framework.
The
results demonstrate that classical logic not only functions effectively
within this stringent single-premise, single-conclusion paradigm but
also satisfies the core meaning-theoretic demands of weak separability
and non-circularity. The work thus defends the viability and conceptual
stability of classical logic from an inferentialist perspective,
offering a refined foundation for proof-theoretic semantics."
We will send the Zoom link over this list on the day before the session.
Please
make sure to convert the time correctly to your specific time zone! The
talk will take place at 5pm in the UK, 6pm CET, 9am in LA, 12pm in New
York, 2pm Brasília Time (to give just some examples).
All the best,
Sara Ayhan, Hermógenes Oliveira, Antonio Piccolomini d'Aragona & Will Stafford