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8 changes: 5 additions & 3 deletions WhileyLanguageSpecification/src/types.tex
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Expand Up @@ -303,8 +303,10 @@ \section{Tuples}
\paragraph{Example.} The following example illustrates several uses of tuples:

\begin{lstlisting}
function swap(int x, int y) => (int,int):
return y,x
(int, int) x = (4, 5)
function swap((int,int) x) => (int,int):
int a, int b = x // tuple destructuring assignment
return b, a
\end{lstlisting}
This function accepts two integer parameters, and returns a tuple type containing two integers. The function simple reverses the order that the values occur in the tuple passed as a parameter.

Expand Down Expand Up @@ -729,4 +731,4 @@ \subsection{Subtyping}
\begin{definition}[Subtype Completeness] A subtype operator, ${\tt\le}$, is {\em complete} if, for any types ${\tt T_1}$ and ${\tt T_2}$, it holds that ${\tt \llbracket T_1\rrbracket\subseteq\llbracket T_2\rrbracket\Longrightarrow T_1\le T_2}$.
\end{definition}

\noindent A subtype operator which exhibits both of these properties is said to be {\em sound} and {\em complete}.
\noindent A subtype operator which exhibits both of these properties is said to be {\em sound} and {\em complete}.