Semi-Automatic Asymptotics in Isabelle/HOL

1 hour 24 mins,  1.18 GB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.91 Mbits/sec
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Description: Eberl, M
Wednesday 5th July 2017 - 13:30 to 14:30
 
Created: 2017-08-25 14:46
Collection: Big proof
Publisher: Isaac Newton Institute
Copyright: Eberl, M
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Computer Algebra Systems can easily compute limits and asymptotic expansions of complicated real functions; interactive theorem provers, on the other hand, provide very little support for such problems and proving asymptotic properties of a function often involves long and tedious manual proofs. In this talk, I will present my work about bringing automation for real-valued asymptotics to Isabelle/HOL using multiseries expansions. This yields a procedure to automatically prove limits and ‘Big-O' estimates of real-valued functions similarly to computer algebra systems like Mathematica and Maple – but while proving every step of the process correct.
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