Speaker: Roberto Giuntini (University of Cagliari). We investigate certain Brouwer-Zadeh lattices that serve as abstract counterparts of lattices of effects in Hilbert spaces under the spectral ordering. These algebras, called PBZ∗-lattices, can also be seen as generalisations of orthomodular lattices and are remarkable for the collapse of three notions of “sharpness” that are distinct in general …

Andrei Sipoș (TU Darmstadt & IMAR). The goal of proof mining is to extract quantitative information out of proofs in mainstream mathematics which are not necessarily fully constructive. Often, such proofs make use of strong mathematical principles, but a preliminary analysis may show that they are not actually needed, so the proof may be carried …