X-Git-Url: https://git.stderr.nl/gitweb?p=matthijs%2Fmaster-project%2Freport.git;a=blobdiff_plain;f=Chapters%2FPrototype.tex;h=139b93e56be69f2637efcffc785935e95bb77b9c;hp=6db0d8632e089e810e5735c09b00ee068a1391cc;hb=d081fa803ef206c6f7ffa72941ca7f008915c69f;hpb=100a8917713c1300a2002299cea94b04ac66848a diff --git a/Chapters/Prototype.tex b/Chapters/Prototype.tex index 6db0d86..139b93e 100644 --- a/Chapters/Prototype.tex +++ b/Chapters/Prototype.tex @@ -271,23 +271,23 @@ \startdesc{Variable reference} \defref{variable reference} \startlambda - x + x :: T \stoplambda This is a reference to a binder. It's written down as the - name of the binder that is being referred to, which should of course be - bound in a containing scope (including top level scope, so a reference - to a top level function is also a variable reference). Additionally, - constructors from algebraic datatypes also become variable references. + name of the binder that is being referred to along with its type. The + binder name should of course be bound in a containing scope (including + top level scope, so a reference to a top level function is also a + variable reference). Additionally, constructors from algebraic datatypes + also become variable references. The value of this expression is the value bound to the given binder. - Each binder also carries around its type, but this is usually not shown - in the Core expressions. Occasionally, the type of an entire expression - or function is shown for clarity, but this is only informational. In - practice, the type of an expression is easily determined from the - structure of the expression and the types of the binders and occasional - cast expressions. This minimize the amount of bookkeeping needed to keep - the typing consistent. + Each binder also carries around its type (explicitly shown above), but + this is usually not shown in the Core expressions. Only when the type is + relevant (when a new binder is introduced, for example) will it be + shown. In other cases, the binder is either not relevant, or easily + derived from the context of the expression. \todo{Ref sidenote on type + annotations} \stopdesc \startdesc{Literal} @@ -463,7 +463,7 @@ \startdesc{Cast expression} \defref{cast expression} \startlambda - body :: targettype + body ▶ targettype \stoplambda A cast expression allows you to change the type of an expression to an equivalent type. Note that this is not meant to do any actual work, like @@ -487,7 +487,7 @@ The value of a cast is the value of its body, unchanged. The type of this value is equal to the target type, not the type of its body. - \todo{Move this paragraph} + \todo{Move and update this paragraph} Note that this syntax is also used sometimes to indicate that a particular expression has a particular type, even when no cast expression is involved. This is then purely informational, since the only elements that @@ -666,12 +666,12 @@ instance declaration. This dictionary, as well as the binder introduced by a lambda that introduces a dictionary, have the predicate type as their type. These binders are usually named starting - with a \lam{$}. Usually the name of the type concerned is not + with a \lam{\$}. Usually the name of the type concerned is not reflected in the name of the dictionary, but the name of the type class is. The Haskell expression \hs{show True} thus becomes: \startlambda - show @Bool $dShow True + show @Bool \$dShow True \stoplambda \stopdesc