Add T-Call rule without receiver
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24
tRules.tex
24
tRules.tex
@ -10,8 +10,8 @@ where existential types are implicitly \textit{opened} and \textit{closed}.
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%The T-Elvis rule mimics the type judgement of a branch expression like \texttt{if-else}.
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%and is solely used for examples.
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The calculus does not include method overloading or method overriding for simplicity reasons.
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Type inference for both are described in \cite{TIforFGJ} and can be added to this algorithm accordingly.
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The calculus does not include method overriding for simplicity reasons.
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Type inference for that is described in \cite{TIforFGJ} and can be added to this algorithm accordingly.
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Our algorithm is designed for extensibility with the final goal of full support for Java.
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\unify{} is the core of the algorithm and can be used for any calculus sharing the same subtype relations as depicted in \ref{fig:subtyping}.
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Additional language constructs can be added by implementing the respective constraint generation functions in the same fashion as described in chapter \ref{chapter:constraintGeneration}.
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@ -239,6 +239,26 @@ $\begin{array}{l}
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\end{array}
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\end{array}$
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\\[1em]
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$\begin{array}{l}
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\typerule{T-Call}\\
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\begin{array}{@{}c}
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\Delta, \Delta', \overline{\Delta} \vdash \ol{\type{N}} <: [\ol{S}/\ol{X}]\ol{U} \quad \quad
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\generics{\ol{X \triangleleft U'}} \type{N} \to \ol{U} \to \type{U} \in \Pi(\texttt{m}) \quad \quad
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\Delta, \Delta', \overline{\Delta} \vdash \ol{S} <: [\ol{S}/\ol{X}]\ol{U'} \quad \quad
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\Delta, \Delta', \overline{\Delta} \vdash \ol{S} \ \ok
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\\
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\Delta | \Gamma \vdash \ol{e} : \ol{T} \quad \quad
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\Delta \vdash \ol{T} <: \overline{\wcNtype{\Delta}{N}} \quad \quad
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\Delta \vdash \type{T}, \overline{\wcNtype{\Delta}{N}} \ \ok \quad \quad
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\Delta, \Delta', \overline{\Delta} \vdash [\ol{S}/\ol{X}]\type{U} <: \type{T} \quad \quad
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\overline{\text{dom}(\Delta) \subseteq \text{fv}(\type{N})}
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\\
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\hline
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\vspace*{-0.3cm}\\
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\Delta | \Gamma \vdash \texttt{m}(\ol{e}) : \type{T}
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\end{array}
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\end{array}$
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\\[1em]
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$\begin{array}{l}
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\typerule{T-Elvis}\\
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\begin{array}{@{}c}
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