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Logic Seminar - Dimitrios Tsementzis

Logic Seminar
September 18, 2018
1:45PM - 2:45PM
Baker Systems Engineering 272

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Add to Calendar 2018-09-18 13:45:00 2018-09-18 14:45:00 Logic Seminar - Dimitrios Tsementzis Title: First-Order Logic with Isomorphism Speaker: Dimitrios Tsementzis (Rutgers University) Abstract: The Univalent Foundations (UF) is a proposed foundation for mathematics that takes as primitive a notion of space (rather than a notion of set). A logic for UF would be a formal system which expresses theories formalized in terms of spaces, just as first-order logic expresses theories formalized in terms of sets. After a quick introduction to UF, I will proceed to develop such a logic, and sketch a proof that it is sound and complete with respect to its spatial semantics. Baker Systems Engineering 272 Department of Mathematics math@osu.edu America/New_York public

Title: First-Order Logic with Isomorphism

SpeakerDimitrios Tsementzis (Rutgers University)

Abstract: The Univalent Foundations (UF) is a proposed foundation for mathematics that takes as primitive a notion of space (rather than a notion of set). A logic for UF would be a formal system which expresses theories formalized in terms of spaces, just as first-order logic expresses theories formalized in terms of sets. After a quick introduction to UF, I will proceed to develop such a logic, and sketch a proof that it is sound and complete with respect to its spatial semantics.

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