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