ML-1996-11: Forcing in Finite Structures (revised version of ML-1996-02)

ML-1996-11: Zambella, Domenico (1996) Forcing in Finite Structures (revised version of ML-1996-02). [Report]

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Abstract

We present a simple and completely model­theoretical proof of a strengthening of a theorem of Ajtai's: the independence of the pigeonhole principle from I-\Delta_0(R). Qua strength, the theorem proved here corresponds to the complexity/proof­theoretical results of [10] and [14] but a different combinatorics is used. Techniques inspired by Razborov [11] replace those derived from Hastad [8]. This leads to a much shorter and very direct construction. Mathematics Subject Classification. 03C62, 03F35 and 03H15. Keywords: Models of atithmetic, bounded arithmetic, finite model theory.

Item Type: Report
Report Nr: ML-1996-11
Series Name: Mathematical Logic and Foundations (ML)
Year: 1996
Date Deposited: 12 Oct 2016 14:40
Last Modified: 12 Oct 2016 14:40
URI: https://eprints.illc.uva.nl/id/eprint/1379

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