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Intro to Type Rules

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JanUlrich 2024-02-09 21:49:12 +01:00
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tRules.tex
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The input syntax for our algorithm is shown in figure \ref{fig:syntax} The input syntax for our algorithm is shown in figure \ref{fig:syntax}
and the respective type rules in figure \ref{fig:expressionTyping} and \ref{fig:typing}. and the respective type rules in figure \ref{fig:expressionTyping} and \ref{fig:typing}.
The algorithm presented in this paper is an extension of the \emph{Global Type Inference for Featherweight Generic Java}\cite{TIforFGJ} algorithm.
Additional features like overriding methods and method overloading can be added by copying the respective parts from there.
The input language is designed to showcase type inference involving existential types.
We introduce the type rule T-Call which emulates a Java method call,
where existential types are implicitly \textit{opened} and \textit{closed}.
The T-Elvis rule mimics the type judgement of a branch expression like \texttt{if-else}
and is solely used for examples.
%Additional features can be easily added by generating the respective constraints (Plümicke hier zitieren)
The type system in \cite{WildcardsNeedWitnessProtection} allows a method to \textit{override} an existing method declaration in one of its super classes, The type system in \cite{WildcardsNeedWitnessProtection} allows a method to \textit{override} an existing method declaration in one of its super classes,
but only by a method with the exact same type. but only by a method with the exact same type.
The type system presented here does not allow the \textit{overriding} of methods. The type system presented here does not allow the \textit{overriding} of methods.