Lectures in proof theory and complexity / Duccio Pianigiani.

Format:

Book

Author/Creator:

Pianigiani, Duccio.

Series:

UNIverSI, 3035-5931 ; 4

Physical Description:

246 p.

Place of Publication:

Firenze : Firenze University Press, 2025.

Summary:

The book is based on lecture notes from the course "Formal Systems", taught by the author for the Master's Degree in "Applied Mathematics" at the University of Siena. It was created for educational purposes, specifically for second-level (graduate) courses.The work is mainly oriented towards applications of Proof Theory - one of the macro-areas into which Mathematical Logic is divided - to Computability Theory and Computational Complexity Theory, albeit with entanglements with Model Theory andwith Category Theory.The book begins with some classical results concerning formal arithmetic, dating back to the 1930s, and then compares them with more recent developments, emphasising the acceleration imparted to logical study by the development of computer science. [Publisher's text].

Notes:

Online only available

717924 characters

Includes bibliographical references.

Publisher Number:

10.36253/979-12-215-0778-2 DOI