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Clarify

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Daniel Hillerström
2020-04-01 15:37:27 +01:00
parent 5355ffa031
commit 32f4e2a506
1 changed files with 5 additions and 4 deletions
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thesis.tex
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@@ -667,9 +667,7 @@ effects its first argument is allowed to perform.
Higher-order functions may also transform their function arguments, Higher-order functions may also transform their function arguments,
e.g. modify their effect rows. The following is the signature of a e.g. modify their effect rows. The following is the signature of a
higher-order function which restricts its argument's effect higher-order function which restricts its argument's effect context
context. Multiple distinct effect variables may appear in a
signature
% %
\[ \[
\forall \alpha^\Type, \varepsilon^{\Row_{\{\Read\}}},\varepsilon'^{\Row_\emptyset}. (\UnitType \to \alpha \eff \{\Read:\Int,\varepsilon\}) \to (\UnitType \to \alpha \eff \{\Read:\Abs,\varepsilon\}) \eff \{\varepsilon'\}. \forall \alpha^\Type, \varepsilon^{\Row_{\{\Read\}}},\varepsilon'^{\Row_\emptyset}. (\UnitType \to \alpha \eff \{\Read:\Int,\varepsilon\}) \to (\UnitType \to \alpha \eff \{\Read:\Abs,\varepsilon\}) \eff \{\varepsilon'\}.
@@ -677,7 +675,10 @@ signature
% %
The function argument is allowed to perform a $\Read$ operation, The function argument is allowed to perform a $\Read$ operation,
whilst the returned function cannot. Moreover, the two functions share whilst the returned function cannot. Moreover, the two functions share
the same effect variable $\varepsilon$. the same effect variable $\varepsilon$. Like the option-map signature
above, an inhabitant of this type performs no effects of its own as
the (right-most) effect row is a singleton row containing a distinct
effect variable $\varepsilon'$.
\subsection{Terms} \subsection{Terms}
\label{sec:base-language-terms} \label{sec:base-language-terms}