Linking Game-Theoretical Approaches with Constructive Type Theory

Name: Linking Game-Theoretical Approaches with Constructive Type Theory
Brand: Springer International Publishing AG
SKU: 9783319190624
Price: 214.83 PLN
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Dialogical Strategies, CTT demonstrations and the Axiom of Choice

Autor: Nicolas Clerbout, Shahid Rahman

Język:

Oprawa: Miękka

Wydawca: Springer International Publishing AG

Dostępność: Dostępna u dostawcy

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214.83 zł

This title links two of the most dominant research streams in philosophy of logic, namely game theor...

Informacje o książce

Autor

Nicolas Clerbout, Shahid Rahman

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2015

strony

EAN

9783319190624

ISBN

3319190628

Enbook ID

09277521

Wydawca

Springer International Publishing AG

Waga

203

Wymiary

155 x 235 x 7

Pełny opis

This title links two of the most dominant research streams in philosophy of logic, namely game theory and proof theory. As the work's subtitle expresses, the authors will build this link by means of the dialogical approach to logic. One important aspect of the present study is that the authors restrict themselves to the logically valid fragment of Constructive Type Theory (CTT). The reason is that, once that fragment is achieved the result can be extended to cover the whole CTT system. The first chapters in the brief offer overviews on the two frameworks discussed in the book with an emphasis on the dialogical framework. The third chapter demonstrates the left-to-right direction of the equivalence result. This is followed by a chapter that demonstrates the use of the algorithm in showing how to transform a specific winning strategy into a CCT-demonstration of the axiom of choice. The fifth chapter develops the algorithm from CTT-demonstrations to dialogical strategies. This brief concludes by introducing elements of discussion which are to be developed in subsequent work.

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Linking Game-Theoretical Approaches with Constructive Type Theory

Dialogical Strategies, CTT demonstrations and the Axiom of Choice

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Pełny opis

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