Intuitionistic Type Theory (original) (raw)

An overview of Constructive Type Theory

Shahid Rahman

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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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Another introduction to Martin-Löf ’ s Intuitionistic Type Theory

Silvio Valentini

2004

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CONSTRUCTIVE TYPE THEORY, AN APPETIZER

Laura Crosilla

Higher-Order Metaphysics, 2023

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Martin-Lof's Type Theory

Kent Petersson

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

Gérard Huet

Journal of Symbolic Computation, 1985

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Towards a Conceptual Structure based on Type Theory

Patrick Barlatier

International Conference on Conceptual Structures, 2008

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An overview of type theories

Nino Guallart

Axiomathes, 2014

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A Type-Theoretic Framework for Formal Reasoning with Different Logical Foundations

Zhaohui Luo

Lecture Notes in Computer Science, 2007

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Constructive logic and type theory

Erik Palmgren

2004

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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 nominal exploration of intuitionism

Mark Bickford

Proceedings of the 5th ACM SIGPLAN Conference on Certified Programs and Proofs - CPP 2016, 2016

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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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Program Testing and the Meaning Explanations of Intuitionistic Type Theory

Peter Dybjer

Epistemology versus Ontology, 2012

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Chapter II by Ansten Klev;: Introduction to Constructive Type Theory with solved exercises. Chapter II of Immanent Reasoning or Equality in Action A Dialogical Study

Shahid Rahman

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Decidability in Intuitionistic Type Theory is Functionally Decidable

Silvio Valentini

Mathematical Logic Quarterly, 1996

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Abstract Interpretation of Constructive Type Theory

Simon Thompson

1996

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A comparison of type theory with set theory

Ansten Klev

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Inductive Definitions and Type Theory: An Introduction

Peter Dybjer

2007

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A brief introduction to Martin-Löf's type theory

Ansten Klev

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Dialogical Logic and Constructive Type Theory New Explorations

Shahid Rahman, Shahid Rahman, Lily Gallois

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On the strength of proof-irrelevant type theories

benjamin Werner

Logical Methods in Computer Science, 2008

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A minimalist two-level foundation for constructive mathematics

Maria Maietti

Annals of Pure and Applied Logic, 2009

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TOWARD A MINIMALIST FOUNDATION FOR CONSTRUCTIVE MATHEMATICS

giovanni sambin

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Computational types from a logical perspective

Valeria de Paiva

Journal of Functional …, 1998

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Assertion and grounding: a theory of assertion for constructive type theory

Maria van der Schaar

Synthese

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A Hilbert-style axiomatization of higher-order intuitionistic logic

Marcelo Esteban Coniglio

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A Prolog-based Proof Tool for Type-Theory TA-lambda and Implicational Intuitionistic-Logic

Yohanes Stefanus

EPiC series in computing, 2018

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Constructing Recursion Operators in Intuitionistic Type Theory

Lawrence Paulson

2000

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