1
0
mirror of https://github.com/dhil/phd-dissertation synced 2026-03-13 02:58:26 +00:00

Citation for the three state equations.

This commit is contained in:
2021-05-27 13:15:30 +01:00
parent 79735da80a
commit 9fa5ebe6eb
2 changed files with 14 additions and 1 deletions

View File

@@ -3694,3 +3694,15 @@
publisher = {Springer},
year = {2005}
}
# Three state equations
@inproceedings{Mellies14,
author = {Paul{-}Andr{\'{e}} Melli{\`{e}}s},
title = {Local States in String Diagrams},
booktitle = {{RTA-TLCA}},
series = {{LNCS}},
volume = {8560},
pages = {334--348},
publisher = {Springer},
year = {2014}
}

View File

@@ -1169,7 +1169,8 @@ manipulating the state cell.
The literature often presents the state monad with a fourth equation,
which states that $\getF$ is idempotent. However, this equation is
redundant as it is derivable from the first and third equations.
redundant as it is derivable from the first and third
equations~\cite{Mellies14}.
We can implement a monadic variation of the $\incrEven$ function that
uses the state monad to emulate manipulations of the state cell as