From ac6c7106f2d548df147ff0e224ee1b5a84545f0a Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Fri, 17 Oct 2025 07:39:15 +0200 Subject: [PATCH] [TI] Add some notes on Kolmogorov-Complexity argument --- .../02_proofs-of-nonexistance.tex | 6 ++++++ semester3/ti/ti-summary.pdf | Bin 934427 -> 935653 bytes 2 files changed, 6 insertions(+) diff --git a/semester3/ti/parts/02_finite-automata/02_proofs-of-nonexistance.tex b/semester3/ti/parts/02_finite-automata/02_proofs-of-nonexistance.tex index f7a7ab5..c9a4de8 100644 --- a/semester3/ti/parts/02_finite-automata/02_proofs-of-nonexistance.tex +++ b/semester3/ti/parts/02_finite-automata/02_proofs-of-nonexistance.tex @@ -122,4 +122,10 @@ Dies ist aber unmöglich, da: \item die Menge $\{ 1^m \divides m \in \N \}$ unendlich ist \end{enumerate} +Für komplexere Sprachen ist es oft einfach, $L_x$ so zu wählen, dass $x = a^{\alpha + 1}$ ist, wobei $\alpha$ der Exponent (nach Variabelnwechsel) aus der Sprache ist. +Also beispielsweise für $L = \{ 0^{n^2 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