The Closed Fragment of the Interpretability Logic of PRA with a Constant for

Notre Dame Journal of Formal Logic 46 (2):127-146 (2005)
  Copy   BIBTEX

Abstract

In this paper we carry out a comparative study of and PRA. We will in a sense fully determine what these theories have to say about each other in terms of provability and interpretability. Our study will result in two arithmetically complete modal logics with simple universal models

Categories

Keywords

Reprint years

DOI

10.1305/ndjfl/1117755145

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,990

External links

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

Through your library

My notes

Similar books and articles

The Closed Fragment of the Interpretability Logic of PRA with a Constant for $\mathrm{I}\Sigma_1$.Joost J. Joosten - 2005 - Notre Dame Journal of Formal Logic 46 (2):127-146.
Provability and Interpretability Logics with Restricted Realizations.Thomas F. Icard & Joost J. Joosten - 2012 - Notre Dame Journal of Formal Logic 53 (2):133-154.
Preservativity logic: An analogue of interpretability logic for constructive theories: An analogue of interpretability logic for constructive theories.Rosalie Iemhoff - 2003 - Mathematical Logic Quarterly 49 (3):230.
Interpolation and the Interpretability Logic of PA.Evan Goris - 2006 - Notre Dame Journal of Formal Logic 47 (2):179-195.
Preservativity logic: An analogue of interpretability logic for constructive theories.Rosalie Iemhoff - 2003 - Mathematical Logic Quarterly 49 (3):230-249.
A note on the interpretability logic of finitely axiomatized theories.Maarten Rijke - 1991 - Studia Logica 50 (2):241 - 250.
Two new series of principles in the interpretability logic of all reasonable arithmetical theories.Evan Goris & Joost J. Joosten - 2020 - Journal of Symbolic Logic 85 (1):1-25.
A note on the interpretability logic of finitely axiomatized theories.Maarten de Rijke - 1991 - Studia Logica 50 (2):241-250.
Bisimulations between generalized Veltman models and Veltman models.Mladen Vuković - 2008 - Mathematical Logic Quarterly 54 (4):368-373.
A Note on Bisimulation and Modal Equivalence in Provability Logic and Interpretability Logic.Vedran Čačić & Domagoj Vrgoč - 2013 - Studia Logica 101 (1):31-44.

Analytics

Added to PP
2013-10-31

Downloads
29 (#538,959)

6 months
15 (#233,546)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Joost Joosten
Universitat de Barcelona

Citations of this work

Add more citations

References found in this work

No references found.

Add more references