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Talks and Poster Presentations (without Proceedings-Entry):

F. Aschieri:
"Natural Deduction and Curry-Howard for Herbrand Constructive Logics";
Talk: First International Conference - Formal Structures for Computation and Deduction (FSCD), Porto, Portugal; 2016-06-22 - 2016-06-26.



English abstract:
Dummett's logic LC is intuitionistic logic extended with Dummett's axiom: for every two statements the first implies the second or the second implies the first. We present a natural deduction and a Curry-Howard correspondence for first-order and second-order Dummett's logic. We prove that our typed calculus is normalizing and show that proof terms for existentially quantified formulas reduce to a list of individual terms forming an Herbrand disjunction.

Created from the Publication Database of the Vienna University of Technology.