On the Predicate Logic of Linear Kripke Frames and some of its Extensions

Studia Logica 81 (2):261-282 (2005)
  Copy   BIBTEX

Abstract

We propose a new, rather simple and short proof of Kripke-completeness for the predicate variant of Dummett's logic. Also a family of Kripke-incomplete extensions of this logic that are complete w.r.t. Kripke frames with equality (or equivalently, w.r.t. Kripke sheaves [8]), is described.

Categories

Keywords

Reprint years

DOI

10.1007/s11225-005-3706-4

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 105,711

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

Kripke Sheaf Completeness of some Superintuitionistic Predicate Logics with a Weakened Constant Domains Principle.Dmitrij Skvortsov - 2012 - Studia Logica 100 (1-2):361-383.
Kripke semantics, undecidability and standard completeness for Esteva and Godo's logic MTL∀.Franco Montagna & Hiroakira Ono - 2002 - Studia Logica 71 (2):227-245.
Kripke Bundles for Intermediate Predicate Logics and Kripke Frames for Intuitionistic Modal Logics.Nobu-Yuki Suzuki - 1990 - Studia Logica 49 (3):289-306.
Kripke incompleteness of predicate extensions of the modal logics axiomatized by a canonical formula for a frame with a nontrivial cluster.Tatsuya Shimura - 2000 - Studia Logica 65 (2):237-247.
On some Kripke complete and Kripke incomplete intermediate predicate logics.Dmitrij Skvortsov - 1998 - Studia Logica 61 (2):281-292.
Some results on the Kripke sheaf semantics for super-intuitionistic predicate logics.Nobu-Yuki Suzuki - 1993 - Studia Logica 52 (1):73 - 94.
Kripke Models, Distributive Lattices, and Medvedev Degrees.Sebastiaan A. Terwijn - 2007 - Studia Logica 85 (3):319-332.
On intermediate predicate logics of some finite Kripke frames, I. levelwise uniform trees.Dmitrij Skvortsov - 2004 - Studia Logica 77 (3):295 - 323.
A map of common knowledge logics.Mamoru Kaneko, Takashi Nagashima, Nobu-Yuki Suzuki & Yoshihito Tanaka - 2002 - Studia Logica 71 (1):57-86.
Variations on the Kripke Trick.Mikhail Rybakov & Dmitry Shkatov - 2025 - Studia Logica 113 (1):1-48.

Analytics

Added to PP
2009-01-28

Downloads
62 (#375,314)

6 months
13 (#259,145)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Epsilon theorems in intermediate logics.Matthias Baaz & Richard Zach - 2022 - Journal of Symbolic Logic 87 (2):682-720.

Add more citations

References found in this work

Directed frames.Giovanna Corsi & Silvio Ghilardi - 1989 - Archive for Mathematical Logic 29 (1):53-67.
On finite linear intermediate predicate logics.Hiroakira Ono - 1988 - Studia Logica 47 (4):391 - 399.

View all 9 references / Add more references