On the formal points of the formal topology of the binary tree (original) (raw)

The problem of the formalization of constructive topology

Silvio Valentini

Archive for Mathematical Logic, 2005

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General Recursion and Formal Topology

Silvio Valentini

Electronic Proceedings in Theoretical Computer Science, 2010

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11 / 6 / 011-Points and Co-points in Formal Topology

Silvio Valentini

2001

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A realizability semantics for inductive formal topologies, Church's Thesis and Axiom of Choice

Maria Maietti

Log. Methods Comput. Sci., 2021

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Inductively generated formal topologies

giovanni sambin, Silvio Valentini

Annals of Pure and Applied Logic, 2003

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A Completeness theorem for Formal Topologies

Silvio Valentini

1996

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Formalization of Formal Topology by Means of the Interactive Theorem Prover Matita

giovanni sambin, Silvio Valentini

Lecture Notes in Computer Science, 2011

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Some points in formal topology

giovanni sambin

Theoretical Computer Science, 2003

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Constructive notions of set. Part I. Sets in Martin–Löf type theory

Laura Crosilla

Annali del Dipartimento di Filosofia, 2005

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A Set Constructor for Inductive Sets in

Dan Synek

Citeseer

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Constructive characterizations of bar subsets

Silvio Valentini

Annals of Pure and Applied Logic, 2007

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A set constructor for inductive sets in Martin-Löf's type theory

Dan Synek

Springer eBooks, 2005

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An Elementary Theory of Various Categories of Spaces in Topology

sob briey

2005

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Tychonoff's Theorem in the Framework of Formal Topologies

Silvio Valentini

Journal of Symbolic Logic, 1997

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σ-locales in Formal Topology

Francesco Ciraulo

2020

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Intuitionistic Formal Spaces

giovanni sambin

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$\sigma$-locales and Booleanization in Formal Topology

Francesco Ciraulo

2018

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Kruskal's tree theorem in a constructive theory of inductive definitions

Monika Seisenberger

2001

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Functional Interpretations of Constructive Set Theory in All Finite Types

Justus Diller

Dialectica, 2008

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On Some Pro blems in Computable Topology

Dieter Spreen

2007

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Toposym 4-A István Juhász Two set-theoretic problems in topology

István Juhász

2012

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Descriptive Set Theory and Computable Topology

Victor Selivanov

2022

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Recursive models for constructive set theories

Michael Beeson

Annals of Mathematical Logic, 1982

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Recursion and topology on 2⩽ω for possibly infinite computations

Verónica Becher

Theoretical Computer Science, 2004

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Key words and phrases. Constructive set-theory, Formal topology, Scott Domains

Paolo Virgili

2015

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Metrizability, monotone normality, and other strong properties in trees

Peter Nyikos

Topology and its Applications, 1999

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A Finite Axiomatization of Inductive-Recursive Denitions

Peter Dybjer

1998

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Why topology in the minimalist foundation must be pointfree

Maria Maietti

Logic and Logical Philosophy, 2013

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Principles of continuous choice and continuity of functions in formal systems for constructive mathematics

Michael Beeson

Annals of Mathematical Logic, 1977

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Foundations of constructive mathematics

Michael Beeson

1985

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Finitary formal topologies and Stone’s representation theorem

giovanni sambin

Theoretical Computer Science, 2008

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Continuous Truth I Non-constructive Objects

Michael Fourman

Studies in Logic and the Foundations of Mathematics, 1984

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A Finite Axiomatisation of Inductive-Inductive Definitions

Anton Setzer

Logic, Construction, Computation, 2012

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Various topologies on trees

Peter Nyikos

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