Mass Problems and Intuitionism

Notre Dame Journal of Formal Logic 49 (2):127-136 (2008)
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Abstract

Let $\mathcal{P}_w$ be the lattice of Muchnik degrees of nonempty $\Pi^0_1$ subsets of $2^\omega$. The lattice $\mathcal{P}$ has been studied extensively in previous publications. In this note we prove that the lattice $\mathcal{P}$ is not Brouwerian

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10.1215/00294527-2008-002

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Citations of this work

A survey of Mučnik and Medvedev degrees.Peter G. Hinman - 2012 - Bulletin of Symbolic Logic 18 (2):161-229.
Topological aspects of the Medvedev lattice.Andrew Em Lewis, Richard A. Shore & Andrea Sorbi - 2011 - Archive for Mathematical Logic 50 (3-4):319-340.
Mass problems and measure-theoretic regularity.Stephen G. Simpson - 2009 - Bulletin of Symbolic Logic 15 (4):385-409.
Effectively closed mass problems and intuitionism.Kojiro Higuchi - 2012 - Annals of Pure and Applied Logic 163 (6):693-697.

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An algebraic approach to non-classical logics.Helena Rasiowa - 1974 - Warszawa,: PWN - Polish Scientific Publishers.
The Algebra of Topology.J. C. C. Mckinsey & Alfred Tarski - 1944 - Annals of Mathematics, Second Series 45:141-191.
On Closed Elements in Closure Algebras.J. C. C. Mckinsey & Alfred Tarski - 1946 - Annals of Mathematics, Ser. 2 47:122-162.

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