#reader(lib”read.ss””wxme”)WXME0109 ##
#|
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#” Video #059 ———————————————————”
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#”; \xE2\x9A\xA0\xEF\xB8\x8F Neue Sprachebene DMdA \xE2\x80\x93 fortges”
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(15
#”; Quoting gibt zur\xC3\xBCck auf die Repr\xC3\xA4sentation von Ausdr”
#”\xC3\xBCcken”
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#”; Komplexe Ausdr\303\274cke werden durch Listen repr\303\244sentiert”
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#”; Was (40 + 2) bedeutet, k\303\266nnten wir selbst festlegen!”
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#” Video #060 ———————————————————”
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#”; Stellt e einen g\303\274ltigen Variablennamen dar (Menge V)?”
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#”; Stellt e einen g\303\274ltigen Lambda-Ausdruck dar (Menge E)?”
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#”; Signatur, die die Repr\303\244sentation syntaktisch korrekter”
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#”; Beispiele f\303\274r Ausdr\303\274cke des \316\273-Kalk\303\274ls”
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0 0 17 3 21 #”; K \342\211\241 (\316\273x.(\316\273y.x))”
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#”; S \342\211\241 (\316\273f.(\316\273g.(\316\273x.((f x) (g x)))))”
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(22
#”; Beispiel: Reduktion von capture \xE2\x89\xA3 ((\xCE\xBBx.(\xCE\xBBy”
#”.x)) (\xCE\xBBz.y))”
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#”; \316\251 \342\211\243 ((\316\273x.(x x)) (\316\273x.(x x)))”
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#”; \316\251 reproduziert sich bei \316\262-Reduktion selbst!”
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2 -1.0 -1.0 0.0 0.0 0 2 500 11 262 12 0 0 17 3 69
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#”; Beispielausdr\xC3\xBCcke f\xC3\xBCr die Auswertung mit Applicative ”
#”Order”
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0 0 17 3 33 #”; TWICE \342\211\243 (\316\273f.(\316\273x.(f (f x))))”
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#”; flash! (siehe Slides 12 + 14 zur Vermeidung von Variable Capture) ”
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#”; \xE2\x9A\xA0\xEF\xB8\x8F Endlose Reduktionen (Applicative Order fin”
#”det nicht immer die NF,”
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0 0 17 3 39 #”; auch falls diese existieren sollte)”
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#”; (ao \316\251) ; \316\251 hat keine NF”
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(26
#”; (ao (list ‘(\xCE\xBB x y) \xCE\xA9)) ; ((\xCE\xBBx.y) \xCE”
#”\xA9) hat NF y (aber ao findet diese nicht)”
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#”rgument, liefere erstes (Kombinator K)”
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#”; FALSE \xE2\x89\xA3 (\xCE\xBBx.(\xCE\xBBy.y)) ; ignoriere erstes Ar”
#”gument, liefere zweites”
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#”; AND repr\303\244sentiert Boolesche Operation \342\210\247″
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(30
#”; ——————————————————————-”
#”—”
) 0 0 24 29 1 #”\n”
0 0 17 3 11 #”; (2) Paare”
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0 0 17 3 1 #”;”
0 0 24 29 1 #”\n”
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#”; PAIR \342\211\243 (\316\273x.(\316\273y.(\316\273s.((s x) y))))”
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0 0 17 3 45 #”; Zugriff auf erste Komponente eines Paares p”
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#”; FST \342\211\243 (\316\273p.(p (\316\273x.(\316\273y.x))))”
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0 0 24 29 1 #”\n”
0 0 17 3 46 #”; Zugriff auf zweite Komponente eines Paares p”
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#”; SND \342\211\243 (\316\273p.(p (\316\273x.(\316\273y.y))))”
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(31
#”; MAKE-PAIR \xE2\x89\xA3 (\xCE\xBBx.(\xCE\xBBxs.((PAIR FALSE) ((PAIR ”
#”x) xs)))) \xE2\x89\xA1 \xE2\x9F\xA8FALSE,\xE2\x9F\xA8x,xs\xE2\x9F”
#”\xA9\xE2\x9F\xA9″
) 0 0 24 29 1 #”\n”
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(32
#”; FIRST \xE2\x89\xA3 (\xCE\xBBxs.(FST (SND xs))) ”
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(33
#”; REST \xE2\x89\xA3 (\xCE\xBBxs.(SND (SND xs))) ”
#” ”
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(34
#”; EMPTY? \xE2\x89\xA3 FST \xE2\x9F\xA8FALSE,\xE2\x9F”
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) 0 0 24 29 1 #”\n”
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(35
#”; EMPTY \xE2\x89\xA3 I (EMPTY? EMPTY) \xE2\x9F”
#”\xBF (I TRUE) \xE2\x9F\xBF TRUE”
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(36
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0 0 24 29 1 #”\n”
0 0 24 29 1 #”\n”
0 0 24 29 1 #”\n”
0 0 17 3 53 #”; Applicative Order Reduktion findet KEINE Normalform”
0 0 24 29 1 #”\n”
0 0 17 3 37 #”; f\303\274r \316\273-Ausdr\303\274cke mit Y-Kombinator”
0 0 24 29 1 #”\n”
0 0 17 3 1 #”;”
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0 0 17 3 26 #”; \342\232\240\357\270\217 Endlose Reduktion”
0 0 24 29 1 #”\n”
0 0 17 3 28 #”; (ao (list FAC (CHURCH 3)))”
0 0 24 29 1 #”\n”
0 0 24 29 1 #”\n”
0 0 24 29 1 #”\n”
0 0 17 3 40 #”; Reduktionsstrategie Normal Order (no),”
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0 0 17 3 11 #”; reduziert”
0 0 17 3 48 #” Funktionsanwendung VOR Reduktion des Argumentes”
0 0 24 29 1 #”\n”
0 0 24 29 1 #”\n”
0 0 17 3 53 #”; Werte Ausdruck e mittels Strategie Call by Name aus”
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0 0 24 3 1 #”(”
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0 0 17 3 66
(46
#”; Normal Order findet Normalform, falls diese \xC3\xBCberhaupt existi”
#”ert”
) 0 0 24 29 1 #”\n”
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0 0 17 3 74
(47
#”; (FAC 3~) [\xE2\x9A\xA0\xEF\xB8\x8F Reduktionszeit, Signatur\xC3″
#”\xBCberpr\xC3\xBCfung deaktivieren]”
) 0 0 24 29 1 #”\n”
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0 0 17 3 16 #”; Bonus-Material”
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0 0 24 29 1 #”\n”
0 0 17 3 38 #”; ao*: Applicative Order Reduktion mit”
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0 0 17 3 9 #”; Tracing”
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0 0 17 3 53 #”; Applicative Order Reduktion mit Tracing in der REPL”
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0 0 17 3 72
(48
#”THE END \xE2\x80\x94 Farewell everyone ——————————”
#”————”
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0 0 24 29 1 #”\n”
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0 0 24 29 1 #”\n”
0 0 17 3 36 #”; Beyond This Point There Be Dragons”
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0 0