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12:00 pm Gabriele Pulcini (New University of Lisbon): From Complementary Logic to Proof-Theoretic Semantics @ Columbia U Philosophy Dept. 716
Gabriele Pulcini (New University of Lisbon): From Complementary Logic to Proof-Theoretic Semantics @ Columbia U Philosophy Dept. 716
Mar 8 @ 12:00 pm
Two proof-systems P and P* are said to be complementary when one proves exactly the non-theorems of the other. Complementary systems come as a particular kind of refutation calculi whose patterns of inference always work by inferring unprovable conclusions form unprovable premises. In the first part of my talk, I will focus on LK*, the sequent system complementing Gentzen’s system LK for classical logic. I will show, then, how to enrich LK* with two admissible[...]