Selecta Mathematica II

Name: Selecta Mathematica II
Brand: Springer
SKU: 9783540048671
Price: 5080.0 INR
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by H. D. Ebbinghaus , F. K. Mahn , Hans Hermes

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ISBN13: 9783540048671
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: January 1, 1970
Pages: 188
Original Price: GBP 39.99
Language: German
Edition: N/A
Item Weight: 218 grams
BISAC Subject(s): General

About The Book

Turing-Maschinen und berechenbare Funktionen I: Präzisierung von Algorithmen.- 1. Naive Vorbetrachtungen.- 2. Motivierung und Definition von Turing-Maschinen.- Turing-Maschinen und berechenbare Funktionen II.- 3. Beispiele für Turing-Maschinen. Turing-Diagramme.- 4. Normierte Turing-Berechenbarkeit.- 5. Einfache Beispiele unentscheidbarer Mengen.- Turing-Maschinen und berechenbare Funktionen III.- 6. Eine universelle Turing-Maschine und das Aufzählungstheorem von Kleene.- Literatur IIII.- Aufzählbarkeit.- 1. Einleitung.- 2. Naive Sätze über aufzählbare Mengen.- 3. Turing-Aufzählbarkeit.- 4. Smullyan-Aufzählbarkeit.- 5. Smullyan- und Turing-Aufzählbarkeit.- 6. Die Nichtaufzählbarkeit der wahren arithmetischen Aussagen und die Unentscheidbarkeit der Arithmetik.- Literatur.- Entscheidungsproblem und Dominospiele.- 1. Zum Entscheidungsproblem der Prädikatenlogik. Teil 1..- 2. Ausdrücke, Präfixe, Präfixtypen. Durch solche Typen bestimmte Ausdrucksklassen.- 3. Erfüllbarkeit von Ausdrücken.- 4. Zum Entscheidungsproblem der Prädikatenlogik. Teil 2..- 5. Dominoprobleme.- 6. Die Definition des einer Turing-Tafel zugeordneten Eck-Dominospiels $${D_{{T^{,\;}}}}D_T^0$$.- 7. Lemma: Wenn M(T) angesetzt auf das leere Band, unendlich lange läuft, ist das Eck-Dominospiel $${D_{{T^{,\;}}}}D_T^0$$ gut.- 8. Lemma: Wenn das Eck-Dominospiel $${D_{{T^{,\;}}}}D_T^0$$ gut ist, läuft M(T), angesetzt auf das leere Band, unendlich lange.- 9. Die Definition des einem Eck-Dominospiel $$D,\;{D^0}$$ zugeordneten Ausdrucks $${\alpha _{D,\;{D^0}}}$$.- 10. Lemma: Wenn das Eck-Dominospiel $$D,\;{D^0}$$ gut ist, dann ist $${\alpha _{D,\;{D^0}}}$$ erfüllbar.- 11. Lemma: Das Eck-Dominospiel $$D,\;{D^0}$$ ist gut, wenn$${\alpha _{D,\;{D^0}}}$$ erfüllbar ist.- 12. Übergang zur engeren Prädikatenlogik.- 13. Ausblick auf die Ausdrucksklasse ? ? ? und das Diagonal-Dominoproblem.- Literatur.- Turing-Maschinen und zufällige 01-Folgen.- 1. Die Kolmogorovsche Komplexität endlicher 01-Wörter.- 2. Ein gescheiterter Versuch.- 3. Der Raum der unendlichen 01-Folgen.- 4. Zufällige unendliche 01-Folgen.- Literatur.- Namenverzeichnis.- Symbolverzeichnis.

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