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Gabriele Pulcini (New University of Lisbon): From Complementary Logic to Proof-Theoretic Semantics
12:00 pm
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[...]
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Bjorndahl: The Epistemology of Nondeterminism. Logic, Probability, and Games Seminar
4:00 pm
Bjorndahl: The Epistemology of Nondeterminism. Logic, Probability, and Games Seminar
@ Faculty House, Columbia U
Mar 29 @ 4:00 pm
Propositional dynamic logic (PDL) is a framework for reasoning about nondeterministic program executions (or, more generally, nondeterministic actions). In this setting, nondeterminism is taken as a primitive: a program is nondeterministic iff it has multiple possible outcomes. But what is the sense of “possibility” at play here? This talk explores an epistemic interpretation: working in an enriched logical setting, we represent nondeterminism as a relationship between a program and an agent deriving from the agent’s[...]
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