Annals of Pure and Applied Logic 82 (2):193-219 (1996)
| Abstract |
The aim of this article is to give the proof-theoretic analysis of various subsystems of Feferman's theory T1 for explicit mathematics which contain the non-constructive μ-operator and join. We make use of standard proof-theoretic techniques such as cut-elimination of appropriate semiformal systems and asymmetrical interpretations in standard structures for explicit mathematics.
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| DOI | 10.1016/s0168-0072(96)00005-x |
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References found in this work BETA
A Language and Axioms for Explicit Mathematics.Solomon Feferman, J. N. Crossley, Maurice Boffa, Dirk van Dalen & Kenneth Mcaloon - 1984 - Journal of Symbolic Logic 49 (1):308-311.
Hilbert's Program Relativized: Proof-Theoretical and Foundational Reductions.Solomon Feferman - 1988 - Journal of Symbolic Logic 53 (2):364-384.
Systems of Explicit Mathematics with Non-Constructive Μ-Operator. Part II.Solomon Feferman & Gerhard Jäger - 1996 - Annals of Pure and Applied Logic 79 (1):37-52.
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Citations of this work BETA
The Unfolding of Non-Finitist Arithmetic.Solomon Feferman & Thomas Strahm - 2000 - Annals of Pure and Applied Logic 104 (1-3):75-96.
The Proof-Theoretic Analysis of Σ11 Transfinite Dependent Choice.Christian Rüede - 2003 - Annals of Pure and Applied Logic 122 (1-3):195-234.
Universes Over Frege Structures.Reinhard Kahle - 2003 - Annals of Pure and Applied Logic 119 (1-3):191-223.
The Non-Constructive Μ Operator, Fixed Point Theories with Ordinals, and the Bar Rule.Thomas Strahm - 2000 - Annals of Pure and Applied Logic 104 (1-3):305-324.
On the Proof Theory of Type Two Functionals Based on Primitive Recursive Operations.David Steiner & Thomas Strahm - 2006 - Mathematical Logic Quarterly 52 (3):237-252.
View all 6 citations / Add more citations
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