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松浦 知也 Matsuura Tomoya 2023-11-22 11:32:45 +09:00
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content/mimium新内部表現の構想.md
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@ -48,9 +48,10 @@ $$
\begin{align} \begin{align}
e \; ::=& \quad x \quad x \in \mathbb{V} \quad & [value]\\ e \; ::=& \quad x \quad x \in \mathbb{V} \quad & [value]\\
|& \quad \lambda x.e \quad & [lambda]\\ |& \quad \lambda x.e \quad & [lambda]\\
|& \quad fix \; x.e \quad & [fix]\\ |& \quad fix \; x.e \quad & [fixpoint]\\
|& \quad feed \; x.e \quad & [feed] \\
|& \quad e \; e \quad & [app]\\ |& \quad e \; e \quad & [app]\\
|& \quad feed \; x.e \quad & [feed] \\
|& \quad delay \; e \; e & [delay]\\
%%|& \quad (e_1,e_2) \quad & [product]\\ %%|& \quad (e_1,e_2) \quad & [product]\\
%%|& \quad \pi_n e \quad n\in \mathbb{N},\; n>0 \quad & [project]\\ %%|& \quad \pi_n e \quad n\in \mathbb{N},\; n>0 \quad & [project]\\
%%|& \quad \langle e \rangle \quad & [code] \\ %%|& \quad \langle e \rangle \quad & [code] \\
@ -223,8 +224,9 @@ $$
でラムダ抽象とFeedの型付け規則こういう感じになると でラムダ抽象とFeedの型付け規則こういう感じになると
$$ $$
\frac{\Gamma, x:\tau^a \vdash e:\tau^b}{\Gamma \vdash \lambda x.e:\tau^a \to \tau^b }\\ \frac{\Gamma, x:\tau^a \vdash e:\tau^b}{\Gamma \vdash \lambda x.e:\tau^a \to \tau^b }
\\ $$
$$
\frac{\Gamma, x : \tau_p^a \vdash e: \tau_p^a }{\Gamma \vdash feed\ x.e:\tau_p^a} \frac{\Gamma, x : \tau_p^a \vdash e: \tau_p^a }{\Gamma \vdash feed\ x.e:\tau_p^a}
$$ $$