Mercurial > cpdt > repo
changeset 151:e71904f61e69
a -> an
author | Adam Chlipala <adamc@hcoop.net> |
---|---|
date | Wed, 29 Oct 2008 17:50:09 -0400 |
parents | eee4fd311f64 |
children | 8157e8e28e2e |
files | src/Reflection.v |
diffstat | 1 files changed, 1 insertions(+), 1 deletions(-) [+] |
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--- a/src/Reflection.v Wed Oct 29 17:41:38 2008 -0400 +++ b/src/Reflection.v Wed Oct 29 17:50:09 2008 -0400 @@ -647,7 +647,7 @@ %\item%#<li># Define a function [expDenote] that translates [exp]s, along with lists of rationals representing variable values, to [Q].#</li># %\item%#<li># Define a recursive function [eqsDenote] over [list (exp * Q)], characterizing when all of the equations are true.#</li># %\item%#<li># Fix a representation [lhs] of flattened expressions. Where [len] is the number of variables, represent a flattened equation as [ilist Q len]. Each position of the list gives the coefficient of the corresponding variable.#</li># - %\item%#<li># Write a recursive function [linearize] that takes a constant [k] and an expression [e] and optionally returns a [lhs] equivalent to [k * e]. This function returns [None] when it discovers that the input expression is not linear. The parameter [len] of [lhs] should be a parameter of [linearize], too. The functions [singleton], [everywhere], and [map2] from [DepList] will probably be helpful. It is also helpful to know that [Qplus] is the identifier for rational addition.#</li># + %\item%#<li># Write a recursive function [linearize] that takes a constant [k] and an expression [e] and optionally returns an [lhs] equivalent to [k * e]. This function returns [None] when it discovers that the input expression is not linear. The parameter [len] of [lhs] should be a parameter of [linearize], too. The functions [singleton], [everywhere], and [map2] from [DepList] will probably be helpful. It is also helpful to know that [Qplus] is the identifier for rational addition.#</li># %\item%#<li># Write a recursive function [linearizeEqs : list (exp * Q) -> option (lhs * Q)]. This function linearizes all of the equations in the list in turn, building up the sum of the equations. It returns [None] if the linearization of any constituent equation fails.#</li># %\item%#<li># Define a denotation function for [lhs].#</li># %\item%#<li># Prove that, when [exp] linearization succeeds on constant [k] and expression [e], the linearized version has the same meaning as [k * e].#</li>#