We focus on some classical results concerning formal arithmetic,dating back to the classical era of the 1930s and 1940s, then in subsequent chapters inviting a comparison with more recent results. In this regard, we strongly emphasise the acceleration imparted also to logical study by the development of computer science: in addition to decidability in principle, indeed, computer science has forced attention to be paid to the classification of mathematical problems according to their degree of difficulty and the computational means that can be used in practice.
University of Siena, Italy - ORCID: 0000-0001-9441-7226
Titolo del capitolo
From decidability to feasibility
Autori
Duccio Pianigiani
Lingua
Inglese
DOI
10.36253/979-12-215-0778-2.04
Opera sottoposta a peer review
Anno di pubblicazione
2025
Copyright
© 2025 Author(s)
Licenza d'uso
Licenza dei metadati
Titolo del libro
Lectures in Proof Theory and Complexity
Autori
Duccio Pianigiani
Opera sottoposta a peer review
Anno di pubblicazione
2025
Copyright
© 2025 Author(s)
Licenza d'uso
Licenza dei metadati
Editore
Firenze University Press, USiena Press
DOI
10.36253/979-12-215-0778-2
eISBN (pdf)
979-12-215-0778-2
eISBN (xml)
979-12-215-0779-9
Collana
UNIverSI. Ricerca e Didattica all’Università di Siena
ISSN della collana
3035-5915
e-ISSN della collana
3035-5931