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Logic Seminar - William Simmons

William Simmons
March 7, 2017
1:50PM - 2:50PM
Cockins Hall 240

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Add to Calendar 2017-03-07 13:50:00 2017-03-07 14:50:00 Logic Seminar - William Simmons Title: Mining effective information from nonconstructive proofs in differential algebraSpeaker: William Simmons (University of Pennsylvania) Abstract: Ultraproducts and other nonconstructive tools often yield existence results without giving explicit values. We examine the interplay of such arguments with "proof mining" techniques that systematically extract effective information even when it is not apparent. Our main application is to differential algebra, where the existence and nature of uniform bounds are more elusive than in the algebraic case. This is joint work with Henry Towsner. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Mining effective information from nonconstructive proofs in differential algebra

Speaker: William Simmons (University of Pennsylvania) 

Abstract: Ultraproducts and other nonconstructive tools often yield existence results without giving explicit values. We examine the interplay of such arguments with "proof mining" techniques that systematically extract effective information even when it is not apparent. Our main application is to differential algebra, where the existence and nature of uniform bounds are more elusive than in the algebraic case. This is joint work with Henry Towsner.

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