HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

A Categorical Theory of Patches

Abstract : When working with distant collaborators on the same documents, one often uses a version control system, which is a program tracking the history of files and helping importing modifications brought by others as patches. The implementation of such a system requires to handle lots of situations depending on the operations performed by users on files, and it is thus difficult to ensure that all the corner cases have been correctly addressed. Here, instead of verifying the implementation of such a system, we adopt a complementary approach: we introduce a theoretical model, which is defined abstractly by the universal property that it should satisfy, and work out a concrete description of it. We begin by defining a category of files and patches, where the operation of merging the effect of two coinitial patches is defined by pushout. Since two patches can be incompatible, such a pushout does not necessarily exist in the category, which raises the question of which is the correct category to represent and manipulate files in conflicting state. We provide an answer by investigating the free completion of the category of files under finite colimits, and give an explicit description of this category: its objects are finite sets labeled by lines equipped with a transitive relation and morphisms are partial functions respecting labeling and relations.
Complete list of metadata

Contributor : Samuel Mimram Connect in order to contact the contributor
Submitted on : Wednesday, November 13, 2013 - 7:08:00 PM
Last modification on : Thursday, February 17, 2022 - 10:08:03 AM
Long-term archiving on: : Friday, February 14, 2014 - 12:35:29 PM


Files produced by the author(s)





Samuel Mimram, Cinzia Di Giusto. A Categorical Theory of Patches. MFPS - Mathematical Foundations of Programming Semantics, Jun 2013, New Orleans, United States. pp.283-307, ⟨10.1016/j.entcs.2013.09.018⟩. ⟨hal-00904156⟩



Record views


Files downloads