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Daniel Hillerström
2021-12-22 16:15:16 +00:00
parent b897751a38
commit 40c6505ae2
1 changed files with 14 additions and 14 deletions
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thesis.tex
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@@ -6001,20 +6001,20 @@ Kind and type environments are right-extended sequences of bindings. A
kind environment binds type variables to their kinds, whilst a type
environment binds term variables to their types.
\paragraph{Type variables} The type structure has three syntactically
distinct type variables (the kinding system gives us five semantically
distinct notions of type variables). As we sometimes wish to refer
collectively to type variables, we define the set of type variables,
$\TyVarCat$, to be generated by:
%
\[
\TyVarCat \defas
\ba[t]{@{~}l@{~}l}
&\{ A \in \ValTypeCat \mid A \text{ has the form } \alpha \}\\
\cup &\{ R \in \RowCat \mid R \text{ has the form } \rho \}\\
\cup &\{ P \in \PresenceCat \mid P \text{ has the form } \theta \}
\ea
\]
% \paragraph{Type variables} The type structure has three syntactically
% distinct type variables (the kinding system gives us five semantically
% distinct notions of type variables). As we sometimes wish to refer
% collectively to type variables, we define the set of type variables,
% $\TyVarCat$, to be generated by:
% %
% \[
% \TyVarCat \defas
% \ba[t]{@{~}l@{~}l}
% &\{ A \in \ValTypeCat \mid A \text{ has the form } \alpha \}\\
% \cup &\{ R \in \RowCat \mid R \text{ has the form } \rho \}\\
% \cup &\{ P \in \PresenceCat \mid P \text{ has the form } \theta \}
% \ea
% \]
% Value types comprise the function type $A \to C$, whose domain
% is a value type and its codomain is a computation type $B \eff E$,