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Semi-Automatic Asymptotics in Isabelle/HOL

Presented by: 
Manuel Eberl Technische Universität München
Wednesday 5th July 2017 - 13:30 to 14:30
INI Seminar Room 2
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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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons