From efd1caabfa57821fb6bc1c1db49774eb5f9a0700 Mon Sep 17 00:00:00 2001 From: Pavel Panchekha Date: Wed, 30 Aug 2023 16:00:50 -0600 Subject: [PATCH] Jonas's talk --- community-meetings.html | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) diff --git a/community-meetings.html b/community-meetings.html index aa9b0e1..3014d6c 100644 --- a/community-meetings.html +++ b/community-meetings.html @@ -72,6 +72,36 @@

FPBench Meetings

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+ September 7, 2023 +
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+ A PVS Formalization of Taylor Error Expressions +
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+ Jonas Katona, Yale University +
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+ Due to the limits of finite precision arithmetic, as one works + with floating-point representations of real numbers in + computer programs, round-off errors tend to accumulate under + mathematical operations and may become unacceptably large. + Symbolic Taylor Error Expressions is a technique used in the + tool FPTaylor to bound the round-off errors accumulated under + differentiable mathematical operations which provides a good + trade-off between efficiency and accuracy. In this + presentation, I will present a formally verified + implementation of Symbolic Taylor Error Expressions in a + specification language, automated theorem prover, and + typechecker called Prototype Verification System (PVS). I will + also go over how this formal specification in PVS will enable + the integration of Symbolic Taylor Expressions in PRECiSA, a + prototype static analysis tool that can compute verified + round-off error bounds for floating-point programs. +
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August 3, 2023