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$#I := #S #K #S$. + Any term in the $clam$-calculus can be written using nothing but the #S#K combinators. - #align(horizon+center)[ - #image("images/ithinkshespartoftheskteam.jpg", width:40%) - ] -] + #show: later + For example $#I := #S #K #S$. + ],[ + #set align(horizon+center) + #uncover(2)[ + #image("images/ithinkshespartoftheskteam.jpg", height:80%) + ] + ]) ] #slide[ #set text(size: 25pt) = A combinator to conquer them all #v(1em) - #set text(size: 20pt) + #grid(columns:(auto, auto), gutter: 5pt,[ + #set text(size: 18pt) - Enter, the $iota$-combinator! + Enter _the $iota$-combinator_! $ iota := la(x, x #S #K) = #S (#S #I (#K #S))(#K #K). $ #show:later @@ -139,6 +147,13 @@ #K &= iota( iota (iota iota)) \ #S &= iota(iota(iota(iota iota))) $ + ],[ + #align(horizon)[ + #uncover(2)[ + #image("images/alwayshasbeenallfunctions.jpg") + ] + ] + ]) ] #slide[ @@ -206,7 +221,9 @@ #align(bottom)[ #set text(size: 11pt) + #uncover(2)[ Note: the naturals are essentially just ordered lists of the unit type, but don't worry about that. + ] ] ] @@ -315,7 +332,23 @@ ] #slide[ + #set page(margin:5pt) #align(center+horizon)[ + #set text(size: 18pt) + #grid(columns:(35%,35%), + gutter:5pt, + [ + #set align(top) + #image("images/slides-qrcode.png", height:50%) + Slide repository + ], + [ + #set align(top) + #image("images/challenge-qrcode.png", height:50%) + The riddle from my team's previous presentation + ] + ) + #set text(size: 35pt) ✨ Thanks You! ✨ ]