Skip to content

explain in chap1, that all snippets have to be executed in order #129

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
gares merged 1 commit into from
Jul 3, 2021
Merged

explain in chap1, that all snippets have to be executed in order #129

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
15 changes: 12 additions & 3 deletions tex/chProgramming.tex
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -22,6 +22,12 @@ \chapter{Functions and computation}\label{ch:prog}
% \Coq{}, how to perform computations and how to define basic
% mathematical objects.

This chapter provides code snippets that can be loaded in a Coq session,
after the header described at the the end of the introduction chapter.
These snippets should be loaded in order and without
omission to avoid mistakes that would take too long to explain
at this introductory level.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Functions}\label{sec:functions}
Before being more
Expand Down Expand Up @@ -2182,10 +2188,13 @@ \section{Iterators and mathematical notations}
The \C{iota} function generates the list
\C{[:: m; m+1; ...; m+n-1]}
of natural numbers
corresponding to the range of the summation. Then the notation defines
expressions with shape \C{\\sum\_ (m <= i < n) F}, with \C{F} a
corresponding to the range of the summation.
On the second line, we re-use a notation that is already present in
the library with shape \C{\\sum\_ (m <= i < n) F}, with \C{F} a
sub-expression featuring variable \C{i}, the one used for the
index. For instance, once the above notation is granted and for any
index. We attach this notation to a specific expression combining
\C{foldr} and \C{iota}.
For instance, once the above notation is granted and for any
natural number \C{(n : nat)}, one may write
the \Coq{} expression \C{(\\sum\_(1 <= i < n) i)} to represent the
sum $\sum\limits_{i=1}^{n-1} i$. The name \C{i} is really used as a
Expand Down