The road to two theorems of logic

Synthese 164 (3):333 - 339 (2008)
Abstract
Work on how to axiomatize the subtheories of a first-order theory in which only a proper subset of their extra-logical vocabulary is being used led to a theorem on recursive axiomatizability and to an interpolation theorem for first-order logic. There were some fortuitous events and several logicians played a helpful role.
Keywords Recursive axiomatizability  Interpolation for first-order logic  Robinson’s joint consistency theorem  Beth’s definability theorem  Linear reasoning and the Herbrand–Gentzen theorem
Categories (categorize this paper)
DOI 10.1007/s11229-008-9353-3
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,157
Through your library
References found in this work BETA
On Computable Numbers, with an Application to the Entscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
On Axiomatizability Within a System.William Craig - 1953 - Journal of Symbolic Logic 18 (1):30-32.
On Padoa's Method in the Theory of Definition.E. W. Beth - 1956 - Journal of Symbolic Logic 21 (2):194-195.
Finite Axiomatizability Using Additional Predicates.W. Craig & R. L. Vaught - 1958 - Journal of Symbolic Logic 23 (3):289-308.

View all 11 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles
Local Deductions Theorems.Janusz Czelakowski - 1986 - Studia Logica 45 (4):377 - 391.
Deduction Theorems for Weak Implicational Logics.M. W. Bunder - 1982 - Studia Logica 41 (2-3):95 - 108.
Coinductive Formulas and a Many-Sorted Interpolation Theorem.Ursula Gropp - 1988 - Journal of Symbolic Logic 53 (3):937-960.
A New Modal Lindström Theorem.Johan van Benthem - 2007 - Logica Universalis 1 (1):125-138.
Algebraic Aspects of Deduction Theorems.Janusz Czelakowski - 1985 - Studia Logica 44 (4):369 - 387.
Weak Cardinality Theorems.Till Tantau - 2005 - Journal of Symbolic Logic 70 (3):861 - 878.
Interpolation for First Order S5.Melvin Fitting - 2002 - Journal of Symbolic Logic 67 (2):621-634.
Algebras of Intervals and a Logic of Conditional Assertions.Peter Milne - 2004 - Journal of Philosophical Logic 33 (5):497-548.

Monthly downloads

Added to index

2009-01-28

Total downloads

56 ( #94,090 of 2,171,921 )

Recent downloads (6 months)

4 ( #76,305 of 2,171,921 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums