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Diffstat (limited to 'presentation.tex')
| -rw-r--r-- | presentation.tex | 9 |
1 files changed, 6 insertions, 3 deletions
diff --git a/presentation.tex b/presentation.tex index a1b2419..a2cf6ab 100644 --- a/presentation.tex +++ b/presentation.tex @@ -228,11 +228,14 @@ \begin{frame} \frametitle{\mykant?} - \mykant\ is an \emph{interactive theorem prover}, implemented in - Haskell. + \mykant\ is an \emph{interactive theorem prover}/\emph{functional + programming language}, implemented in Haskell. It is similar in scope to Agda or Coq, but with a more powerful notion of \emph{equality}. + + We have figured out theory of \mykant, and have a near-complete + implementation. \end{frame} \begin{frame} @@ -532,7 +535,7 @@ Without the $\myb{l}$ we cannot compute, so we are stuck with \[ \cancel{\mytyp : \mytyp}\ \ \ \text{\textbf{inconsistent}} \] - Much like na{\"i}ve set theory is (Girard's paradox). + Similar to Russel's paradox in na{\"i}ve set theory. Instead, we have a hierarchy: \[ |