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lfcs-interest - [LFCS seminar] Now, 18 Aug: Georg Moser, University of Innsbruck: Automated Amortised Analysis of Skew Heaps and Leftist Heaps

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  • From: Ohad Kammar <ohad.kammar@ed.ac.uk>
  • To: "inf-seminars@mlist.is.ed.ac.uk " <inf-seminars@mlist.is.ed.ac.uk>, "LFCS Interest" <lfcs-interest@mlist.is.ed.ac.uk>
  • Cc: "Moser, Georg" <georg.moser@uibk.ac.at>
  • Subject: [LFCS seminar] Now, 18 Aug: Georg Moser, University of Innsbruck: Automated Amortised Analysis of Skew Heaps and Leftist Heaps
  • Date: Tue, 18 Aug 2026 14:55:00 +0000

Hi,

Reminding that the LFCS seminar will start shortly:

  Tuesday, 18 Aug, 4.10pm
  Georg Moser, University of Innsbruck

  The seminar will take place in-person only.


We're synchronising the seminar time with the teaching timetable, and
plan to start the talk at the advertised time, so please arrive a minute or two
earlier.


In detail:

----------------------------------------------------------------------
Georg Moser, University of Innsbruck
https://www.uibk.ac.at/en/theoretical-computer-science/

  Tue, 18 Aug, 4.10pm
  Venue: IF G.03



Title: Automated Amortised Analysis of Skew Heaps and Leftist Heaps

Abstract

We study the fully automated amortised analysis of purely functional
data structures like skew heaps, as well as weight- and rank-biased
leftist heaps. For that we generalise earlier works on automated
amortised resource analysis by developing a type inference based
approach with a generic type system. This allows for modular reasoning
and the inference of precise and optimal cost bounds.


More specifically, we extend the work on the ATLAS system by Leutgeb et
al. which was developed to cover the analysis of splay trees and some
closely related data structures. To enable the analysis of skew heaps,
however, and the even more challenging (amortised) analysis of
leftist heaps, we have developed a range of new techniques for
type-based automated analysis. By introducing a generic type system
we allow for arbitrary (classes of) potential functions, compared to
the use of hard-coded potential functions in ATLAS, which we have
implemented in Haskell in an entirely modular way. We have also greatly
enhanced the existing type inference algorithm by extensions in
multiple directions, including path-sensitive reasoning, data
structure invariants, and template parameters for piecewise defined
potential functions. We show how our newly developed system supports
the use of all known potential functions for analysing skew heaps and
leftist heaps, confirming the known bounds.


Joint work with Armin Walch, Berry Schoenmakers, and Florian Zuleger.

----------------------------------------------------------------------

Upcoming events:
----------------
07 Sep: Gordon Plotkin's 80th birthday celebration
  https://events.inf.ed.ac.uk/plotkin80/
08 Sep: LFCS's 40th anniversary celebration
  https://events.inf.ed.ac.uk/lfcs40/
09 Sep: Philip Wadler's 70th birthday celebration
  https://events.inf.ed.ac.uk/wadler70/

Upcoming seminars:
------------------
15 Sep: Pranshu Gaba, Tata Institute of Fundamental Research, Mumbai


If you would like to propose a speaker, or speak yourself, please contact me.
The seminar webpages:
http://web.inf.ed.ac.uk/lfcs/events/lfcs-seminars

Yours,
Ohad.
The University of Edinburgh is a charitable body, registered in Scotland, with registration number SC005336. Is e buidheann carthannais a th’ ann an Oilthigh Dhùn Èideann, clàraichte an Alba, àireamh clàraidh SC005336.

  • [LFCS seminar] Now, 18 Aug: Georg Moser, University of Innsbruck: Automated Amortised Analysis of Skew Heaps and Leftist Heaps, Ohad Kammar, 08/18/2026

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