Another introduction to Martin-Löf ’ s Intuitionistic Type Theory (original) (raw)

Intuitionistic Type Theory

Peter Dybjer

Stanford Encyclopedia of Philosophy, 2016

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Building up a tool-box for Martin-Löf's type theory (abstract)

giovanni sambin, Silvio Valentini

Lecture Notes in Computer Science, 1993

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Building up a toolbox for Martin-Löf’s type theory: subset theory

Silvio Valentini

Oxford University Press eBooks, 1998

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A brief introduction to Martin-Löf's type theory

Ansten Klev

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An intuitionistic theory of types with assumptions of high-arity variables

Silvio Valentini

Annals of Pure and Applied Logic, 1992

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Proof Theory of Martin-Löf Type Theory. An overview

Anton Setzer

Mathématiques et sciences humaines, 2004

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On the Algebraic Foundation of Proof Assistants for Intuitionistic Type Theory

Peter Dybjer

Lecture Notes in Computer Science, 2008

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An overview of type theories

Nino Guallart

Axiomathes, 2014

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Martin-Lof's Type Theory

Kent Petersson

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The Friedman-Translation for Martin-Löf's Type Theory

Erik Palmgren

Mathematical Logic Quarterly, 1995

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

Peter Dybjer

Electronic Notes in Theoretical Computer Science, 2008

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

Silvio Valentini

Theoretical Computer Science, 2003

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CONSTRUCTIVE TYPE THEORY, AN APPETIZER

Laura Crosilla

Higher-Order Metaphysics, 2023

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Eta-rules in Martin-Löf type theory

Ansten Klev

Bulletin of Symbolic Logic

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Classical Predicative Logic-Enriched Type Theories

Robin Adams

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A general formulation of simultaneous inductive-recursive definitions in type theory

Peter Dybjer

The Journal of Symbolic Logic, 2000

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A Set Theoretic Approach to the Simple Theory of Types1

Michael Resnik

Theoria, 2008

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Inductive sets and families in Martin-Löf's type theory and their set-theoretic semantics

Peter Dybjer

Logical Frameworks, 1991

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Proof theoretical strength of Martin-Löf Type Theory with W-type and one universe

Toni Setzer

PhD thesis, 1993

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Constructing Recursion Operators in Intuitionistic Type Theory

Lawrence Paulson

2000

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Decidability in Intuitionistic Type Theory is Functionally Decidable

Silvio Valentini

Mathematical Logic Quarterly, 1996

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Remarks on Martin-Löf's partial type theory

Erik Palmgren

BIT, 1992

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A Type Theory with Re ection by

stefania dumbrava

2012

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An overview of Constructive Type Theory

Shahid Rahman

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A Modern Perspective on Type Theory From its Origins until Today

Twan Laan, HCM de Swart

Journal of Logic, Language and Information, 2006

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On Choice Rules in Dependent Type Theory

Maria Maietti

Theory and Applications of Models of Computation, 2017

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Meta-mathematical aspects of Martin-Löf's type theory

Silvio Valentini

2000

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Inductive Definitions and Type Theory: An Introduction

Peter Dybjer

2007

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

Gérard Huet

Journal of Symbolic Computation, 1985

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Practical forms of type theory

Monte Roden

The Journal of Symbolic Logic, 1948

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