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thesis.tex
20
thesis.tex
@@ -1274,16 +1274,16 @@ operation in order to type check.
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A possible inconvenience of the current formulation of
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A possible inconvenience of the current formulation of
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$\tylab{Rec}^\ast$ is that it recursion cannot be mixed with other
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$\tylab{Rec}^\ast$ is that it recursion cannot be mixed with other
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computational effects. The reason being that the effect row on
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computational effects. The reason being that the effect row on
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$A \to B\eff \{\dec{Div}:\Zero\}$ is closed. Thus in practical
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$A \to B\eff \{\dec{Div}:\Zero\}$ is closed. Thus in a practical
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programming language implementation it would be more convenient to
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general-purpose programming language implementation it is likely be
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leave the tail of the effect row open as to allow recursion to be used
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more convenient to leave the tail of the effect row open as to allow
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in larger effect contexts. The rule formulation is also rather coarse
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recursion to be used in larger effect contexts. The rule formulation
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as it renders every $\Rec$-definition as possibly divergent -- even
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is also rather coarse as it renders every $\Rec$-definition as
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definitions that are obviously non-divergent such as the
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possibly divergent -- even definitions that are obviously
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$\Rec$-variation of the identity function: $\Rec\;f\,x.x$. A practical
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non-divergent such as the $\Rec$-variation of the identity function:
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implementation could utilise a static termination
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$\Rec\;f\,x.x$. A practical implementation could utilise a static
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checker~\cite{Walther94} to obtain more fine-grained tracking of
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termination checker~\cite{Walther94} to obtain more fine-grained
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divergence.
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tracking of divergence.
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% By fairly lightweight means we can obtain a finer analysis of
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% By fairly lightweight means we can obtain a finer analysis of
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% $\Rec$-definitions by simply having an additional typing rule for
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% $\Rec$-definitions by simply having an additional typing rule for
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% the application of $\Rec$.
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% the application of $\Rec$.
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