diff options
author | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2010-10-11 11:50:57 +0000 |
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committer | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2010-10-11 11:50:57 +0000 |
commit | 85e52dd8deaaea8dded6be09e7f733c949fd54c5 (patch) | |
tree | e444ef5cd963585c058a0d1495023019d80f8f00 /doc/refman | |
parent | 1add64f2c91f936e0212817ee056a3742afdd635 (diff) |
More precise description of boolean ring in doc (see bug #2401)
Also remove misleading example about classical propositional logic in
"What does this tactic do?" section.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13523 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'doc/refman')
-rw-r--r-- | doc/refman/Polynom.tex | 8 |
1 files changed, 2 insertions, 6 deletions
diff --git a/doc/refman/Polynom.tex b/doc/refman/Polynom.tex index 94c76c197..3898bf4c4 100644 --- a/doc/refman/Polynom.tex +++ b/doc/refman/Polynom.tex @@ -37,11 +37,6 @@ commutativity. \begin{Examples} \item In the ring of integers, the normal form of $x (3 + yx + 25(1 - z)) + zx$ is $28x + (-24)xz + xxy$. -\item For the classical propositional calculus (or the boolean rings) - the normal form is what logicians call \textit{disjunctive normal - form}: every formula is equivalent to a disjunction of - conjunctions of atoms. (Here $\oplus$ is $\vee$, $\otimes$ is - $\wedge$, variables are atoms and the only constants are T and F) \end{Examples} \texttt{ring} is also able to compute a normal form modulo monomial @@ -660,7 +655,8 @@ Coq Reference Manual, version 8.0. This tactic, written by Samuel Boutin and Patrick Loiseleur, applies associative commutative rewriting on every ring. The tactic must be loaded by \texttt{Require Import LegacyRing}. The ring must be declared in -the \texttt{Add Ring} command. The ring of booleans +the \texttt{Add Ring} command. The ring of booleans (with \texttt{andb} +as multiplication and \texttt{xorb} as addition) is predefined; if one wants to use the tactic on \texttt{nat} one must first require the module \texttt{LegacyArithRing}; for \texttt{Z}, do \texttt{Require Import LegacyZArithRing}; for \texttt{N}, do \texttt{Require |