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ICFP 2018
Sun 23 - Sat 29 September 2018 St. Louis, Missouri, United States
Wed 26 Sep 2018 11:37 - 12:00 at Stifel Theatre - Semantics Chair(s): Sam Lindley

It is a straightforward exercise to write a program to “add” two bijections—resulting in a bijection between two sum types, which runs the first bijection on elements from the left summand and the second bijection on the right. It is much less obvious how to “subtract” one bijection from another. This problem has been studied in the context of combinatorics, with several computational principles known for producing the ``difference'' of two bijections. We consider the problem from a computational and algebraic perspective, showing how to construct such bijections at a high level, avoiding pointwise reasoning or being forced to construct the forward and backward directions separately—without sacrificing performance.

Wed 26 Sep
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10:30 - 12:00: Research Papers - Semantics at Stifel Theatre
Chair(s): Sam LindleyUniversity of Edinburgh, UK
icfp-2018-papers10:30 - 10:52
Jeremy YallopUniversity of Cambridge, UK, Tamara von GlehnUniversity of Cambridge, Ohad KammarUniversity of Oxford
Link to publication DOI Pre-print
icfp-2018-papers10:52 - 11:15
Jeremy GibbonsDepartment of Computer Science, University of Oxford, Fritz HengleinDepartment of Computer Science, University of Copenhagen (DIKU), Ralf HinzeRadboud University Nijmegen, Nicolas WuUniversity of Bristol, UK
icfp-2018-papers11:15 - 11:37
Andrew HirschCornell University, Ross TateCornell University
icfp-2018-papers11:37 - 12:00
Brent YorgeyHendrix College, Kenneth Foner