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  • Computer Algebra in the Age of Types


    Computer algebra, being one of the oldest computational disciplines, keeps growing rapidly. Most code is available as open source software: Constructive code tends to be written in very weakly typed systems like Python (notably Sage), GAP, C, or C++. Formal systems naturally carry strong typing and formal proof tools.

    There is still, somewhat surprisingly, very little connection between the two disciplines, though many attempts have been made to bridge the gap by devising new systems that incorporate strong typing, proof assistants, and powerful (bespoke) programming languages.

    This workshop advocates a slightly different approach: For modern computational mathematics to thrive we want to promote the use of types to

    • compose existing constructive and formal systems with a low initial overhead, and a strong incentive towards eventual formal checkability and correctness,
    • enable development of domain specific tools that make computations and algorithms in mathematical domains more natural, concise, and avoid large classes of common errors and cognitive overhead.
    • provide access to machine verified proofs for use in computation and algorithm development
    • provide access to efficient computations for use in proofs
    • enable effective automated testing a-la Haskell's Quickcheck
    This workshop is to provide an incubator for this approach, featuring a tutorial on the programming language Idris ( by its author Edwin Brady, and an introduction to the system MMT (, inviting practising researchers in computer algebra, formal methods, and programming languages to present and discuss approaches and form a common vision for the next generation of computer algebra.

    Topics of Interest

    • Type systems in computer algebra software
    • (Computer) algebra in type systems
    • Interfacing mathematics software using types
    • Mathematical challenges for contemporary computer algebra
    • Tools for using types in algorithm development and implementation
    • Work in progress
    • Real world applications

    Invited speakers

    Keynote Lecture by Professor Michael Kohlhase (FAU Erlangen-Nürnberg)


    Submissions are welcome for papers, software presentations, and posters. Contributors should submit a short abstract (no more than 4 pages) through EasyChair. It is expected that at least one author of each accepted submission is present at the workshop to give a presentation.

    Important dates

    Deadline for submissions: 2. June 2018
    Notification of acceptance: 17. June 2018

    Programme Committee (TBC)

    • Markus Pfeiffer, University of St Andrews
    • Gabriel Dos Reis, Microsoft Research
  • News

    • deadline extended: April 22 (abstract), April 29 (paper)
    • 6 workshops accepted
    • 3 invited speakers
    • CfP and CfW available
    • PC completed
    • 2 invited speakers added
    • Initial Webpage Online
Last modified: April 27 2018 10:29:48 CEST