Ordinal Computability: An Introduction to Infinitary Machines

Boston: De Gruyter (2019)
  Copy   BIBTEX

Abstract

Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space. In particular, recognizability, randomness, and applications to other areas of mathematics, including set theory and model theory, are covered.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,475

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Register computations on ordinals.Peter Koepke & Ryan Siders - 2008 - Archive for Mathematical Logic 47 (6):529-548.
Infinite time Turing machines.Joel David Hamkins - 2002 - Minds and Machines 12 (4):567-604.
Infinite Computations with Random Oracles.Merlin Carl & Philipp Schlicht - 2017 - Notre Dame Journal of Formal Logic 58 (2):249-270.
Infinite time Turing machines.Joel David Hamkins & Andy Lewis - 2000 - Journal of Symbolic Logic 65 (2):567-604.
Weaker variants of infinite time Turing machines.Matteo Bianchetti - 2020 - Archive for Mathematical Logic 59 (3-4):335-365.
Turing computations on ordinals.Peter Koepke - 2005 - Bulletin of Symbolic Logic 11 (3):377-397.
Infinite time Turing machines.Joel David Hamkins & Andy Lewis - 2000 - Journal of Symbolic Logic 65 (2):567-604.
Ordinal analysis by transformations.Henry Towsner - 2009 - Annals of Pure and Applied Logic 157 (2-3):269-280.
Model theory for infinitary logic.H. Jerome Keisler - 1971 - Amsterdam,: North-Holland Pub. Co..
Computability and recursion.Robert I. Soare - 1996 - Bulletin of Symbolic Logic 2 (3):284-321.

Analytics

Added to PP
2020-01-31

Downloads
21 (#730,352)

6 months
7 (#419,843)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Decision Times of Infinite Computations.Merlin Carl, Philipp Schlicht & Philip Welch - 2022 - Notre Dame Journal of Formal Logic 63 (2).
Taming Koepke's Zoo II: Register machines.Merlin Carl - 2022 - Annals of Pure and Applied Logic 173 (3):103041.

Add more citations

References found in this work

No references found.

Add more references