Dear all,
The next session of our PTS Seminar Series is coming up!
On Tuesday, April 14, 12pm (UTC+0), Robin Martinot (University of
Tübingen) will present her work with the title "Semantic pollution of
bilateral proof systems (and PTS)".
Here is the abstract:
The phenomenon of semantic pollution has gained recent attention in the
philosophy of proof theory. It is mainly considered to occur in labeled
proof systems with respect to Kripke or frame semantics. The behavior of
semantic pollution in more general proof-theoretic syntax extensions is
underexplored. In this talk I want to discuss some results on semantic
pollution of bilateral proof systems for inconsistency-tolerant logics
(in particular, for the paraconsistent logic of first-degree entailment
FDE, Nelson's logic N4 and Abelian logic). For this I use my recent
formalization of semantic pollution to analyze these logics, that
focuses on the ability of syntax in a proof system to violate invariance
results under model equivalences. I contrast these semantic pollution
results to those of labeled calculi. Additionally, I will elaborate on
the compatibility between semantic pollution and the efforts of
proof-theoretic semantics (PTS), for which some thoughts are more
worked-out, but some are very much in progress (such as: if we have
semantic pollution relative to model-theoretic semantics, is there also a
variant that exists relative to proof-theoretic semantics?).
Please make sure to convert the time correctly to your specific time
zone! The talk will take place at 1pm in the UK, 2pm CEST, 9pm in Japan,
8am in New York, 9am Brasilia Time (to give just some examples).
All the best,
Sara Ayhan, Hermógenes Oliveira, Antonio Piccolomini d'Aragona & Will Stafford