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Fix typos in handler typing rules in the appendix

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Daniel Hillerström
2023-01-09 17:00:38 +00:00
parent 72b54ad278
commit 7535fe7ecc
1 changed files with 2 additions and 2 deletions
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thesis.tex
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@@ -19022,7 +19022,7 @@ computation $M$ with handler $H$.
\{\ell_i : A_i \opto B_i\}_i \in \Sigma \\ \{\ell_i : A_i \opto B_i\}_i \in \Sigma \\
H = \{\Return\;x \mapsto M\} \uplus \{ \OpCase{\ell_i}{p_i}{k_i} \mapsto N_i \}_i \\ H = \{\Return\;x \mapsto M\} \uplus \{ \OpCase{\ell_i}{p_i}{k_i} \mapsto N_i \}_i \\
\el}\\\\ \el}\\\\
\typ{\Gamma, x : A;\Sigma}{M : D}\\\\ \typ{\Gamma, x : C;\Sigma}{M : D}\\\\
[\typ{\Gamma,p_i : A_i, k_i : B_i \to D;\Sigma}{N_i : D}]_i [\typ{\Gamma,p_i : A_i, k_i : B_i \to D;\Sigma}{N_i : D}]_i
} }
{\typ{\Gamma;\Sigma}{H : C \Harrow D}} {\typ{\Gamma;\Sigma}{H : C \Harrow D}}
@@ -19210,7 +19210,7 @@ handler definitions are identical, however, their typing differ.
\{\ell_i : A_i \opto B_i\}_i \in \Sigma \\ \{\ell_i : A_i \opto B_i\}_i \in \Sigma \\
H = \{\Return\;x \mapsto M\} \uplus \{ \OpCase{\ell_i}{p_i}{k_i} \mapsto N_i \}_i \\ H = \{\Return\;x \mapsto M\} \uplus \{ \OpCase{\ell_i}{p_i}{k_i} \mapsto N_i \}_i \\
\el}\\\\ \el}\\\\
\typ{\Gamma, x : A;\Sigma}{M : D}\\\\ \typ{\Gamma, x : C;\Sigma}{M : D}\\\\
[\typ{\Gamma,p_i : A_i, k_i : B_i \to C;\Sigma}{N_i : D}]_i [\typ{\Gamma,p_i : A_i, k_i : B_i \to C;\Sigma}{N_i : D}]_i
} }
{\typ{\Gamma;\Sigma}{H : C \Harrow D}} {\typ{\Gamma;\Sigma}{H : C \Harrow D}}