Linking Game-Theoretical Approaches with Constructive Type Theory

Dialogical Strategies, CTT demonstrations and the Axiom of Choice

Nonfiction, Science & Nature, Mathematics, Logic, Religion & Spirituality, Philosophy
Cover of the book Linking Game-Theoretical Approaches with Constructive Type Theory by Nicolas Clerbout, Shahid Rahman, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nicolas Clerbout, Shahid Rahman ISBN: 9783319190631
Publisher: Springer International Publishing Publication: July 8, 2015
Imprint: Springer Language: English
Author: Nicolas Clerbout, Shahid Rahman
ISBN: 9783319190631
Publisher: Springer International Publishing
Publication: July 8, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Moral Strata by Nicolas Clerbout, Shahid Rahman
Cover of the book The Jatropha Genome by Nicolas Clerbout, Shahid Rahman
Cover of the book Strategic Thinking in a Hospital Setting by Nicolas Clerbout, Shahid Rahman
Cover of the book The Plural Practice of Adoption in Pacific Island States by Nicolas Clerbout, Shahid Rahman
Cover of the book Case-Based Reasoning Research and Development by Nicolas Clerbout, Shahid Rahman
Cover of the book Growth of High Permittivity Dielectrics by High Pressure Sputtering from Metallic Targets by Nicolas Clerbout, Shahid Rahman
Cover of the book Rigid Geometry of Curves and Their Jacobians by Nicolas Clerbout, Shahid Rahman
Cover of the book Sustainable Rail Transport by Nicolas Clerbout, Shahid Rahman
Cover of the book Politics in Socrates' Alcibiades by Nicolas Clerbout, Shahid Rahman
Cover of the book Sustainability and the Humanities by Nicolas Clerbout, Shahid Rahman
Cover of the book Postformal Education by Nicolas Clerbout, Shahid Rahman
Cover of the book Landside Accessibility of Airports by Nicolas Clerbout, Shahid Rahman
Cover of the book Human Interference on River Health by Nicolas Clerbout, Shahid Rahman
Cover of the book Poverty in the United States by Nicolas Clerbout, Shahid Rahman
Cover of the book Simulation and Inference for Stochastic Processes with YUIMA by Nicolas Clerbout, Shahid Rahman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy