Constructive Domain Theory as a Branch of Intuitionistic Pointfree Topology (original) (raw)

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

Paolo Virgili

2015

View PDFchevron_right

A cartesian closed category in Martin-Löf's intuitionistic type theory

Silvio Valentini

Theoretical Computer Science, 2003

View PDFchevron_right

A note on domain representability and formal topology

Erik Palmgren

View PDFchevron_right

Intuitionistic Formal Spaces

giovanni sambin

View PDFchevron_right

Quotient topologies in constructive set theory and type theory

Erik Palmgren

Annals of Pure and Applied Logic, 2006

View PDFchevron_right

General synthetic domain theory – a logical approach

Bernhard Reus

Mathematical Structures in Computer Science, 1999

View PDFchevron_right

On binary intuitionistic points and intuitionistic neighborhood structures

A. G Rose Venish

View PDFchevron_right

From intuitionistic to point-free topology

Erik Palmgren

View PDFchevron_right

Archive for Mathematical Logic manuscript No. (will be inserted by the editor) Topological Characterization of Scott Domains

Silvio Valentini

2015

View PDFchevron_right

The problem of the formalization of constructive topology

Silvio Valentini

Archive for Mathematical Logic, 2005

View PDFchevron_right

Another introduction to Martin-Löf ’ s Intuitionistic Type Theory

Silvio Valentini

2004

View PDFchevron_right

An Elementary Theory of Various Categories of Spaces in Topology

sob briey

2005

View PDFchevron_right

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

Laura Crosilla

Annali del Dipartimento di Filosofia, 2005

View PDFchevron_right

On effective topological spaces

Dieter Spreen

The Journal of Symbolic Logic, 1998

View PDFchevron_right

From Concept Lattices to Approximation Spaces: Algebraic Structures of Some Spaces of Partial Objects

Piero Pagliani

Fundamenta Informaticae, 1993

View PDFchevron_right

Pairwise Separation Axioms in Intuitionistic Topological Spaces

Sadık Bayhan

2006

View PDFchevron_right

Intuitionistic Type Theory

Peter Dybjer

Stanford Encyclopedia of Philosophy, 2016

View PDFchevron_right

Algebraic Models of Intuitionistic Theories of Sets and Classes

Steve Awodey

2004

View PDFchevron_right

Towards a descriptive set theory for domain-like structures

Victor Selivanov

Theoretical Computer Science, 2006

View PDFchevron_right

Connectedness of the continuum in intuitionistic mathematics

Mark Bickford

Mathematical Logic Quarterly

View PDFchevron_right

Note on Intuitionistic N-Closed Sets

M Anbuchelvi

2012

View PDFchevron_right

Intuitionistic generalized closed sets in generalized intuitionistic topological space

Hari siva Annam

Malaya Journal of Matematik, 2020

View PDFchevron_right

IGPR-Continuity and Compactness in Intuitionistic Topological Space

SELVANAYAKI S

View PDFchevron_right

APPROXIMABLE CONCEPTS, CHU SPACES, AND INFORMATION SYSTEMS

Gongqin Shen

2006

View PDFchevron_right

Categorical and algebraic aspects of the intuitionistic modal logic IEL― and its predicate extensions

Daniel Rogozin

Journal of Logic and Computation, 2020

View PDFchevron_right

Computability on Topological Spaces via Domain Representations

John V Tucker

New Computational Paradigms, 2008

View PDFchevron_right

Double Intuitionistic Continuous Function in Double Intuitionistic Topological Spaces

Asmaa G.Raoof

Tikrit Journal of Pure Science

View PDFchevron_right

Effective operators in a topological setting

Dieter Spreen

Lecture Notes in Mathematics, 2000

View PDFchevron_right

A Selected Bibliography on Constructive Mathematics, Intuitionistic Type Theory and Higher Order Deduction

Gérard Huet

Journal of Symbolic Computation, 1985

View PDFchevron_right

Expressive power in first order topology

Paul Bankston

The Journal of Symbolic Logic, 1984

View PDFchevron_right

Why topology in the minimalist foundation must be pointfree

Maria Maietti

Logic and Logical Philosophy, 2013

View PDFchevron_right

Some Intuitionistic Topological Notions of Intuitionistic Region, Possible Application to GIS Topological Rules

Mohamed abdelfattah

View PDFchevron_right

The Interpretation of Intuitionistic Type Theory in Locally Cartesian Closed Categories – an Intuitionistic Perspective

Peter Dybjer

Electronic Notes in Theoretical Computer Science, 2008

View PDFchevron_right

A Simple Proof of the Completeness Theorem of the Intuitionistic Predicate Calculus with Respect to the Topological Semantics

Silvio Valentini

2004

View PDFchevron_right

Categorical and Algebraic Aspects of the Intuitionistic Modal Logic operatornameIEL−\operatorname{IEL}^{-}operatornameIEL and its predicate extensions

Daniel Rogozin

arXiv (Cornell University), 2020

View PDFchevron_right