Knowledge Base list of Publications

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Type Theory | Systems | Special Topics | Proofs | Programming Languages | Nuprl | Logic | Intuitionistic Mathematics | History | Geometry | EventML | Cubical Type Theory

240 results

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Type Theory

Bar Induction is Compatible with Constructive Type Theory | cite »
by Vincent Rahli, Liron Cohen, Mark Bickford, Robert L. Constable
2019

Computability Beyond Church-Turing using Choice Sequences | cite »
by Liron Cohen, Vincent Rahli, Mark Bickford, Robert L. Constable
2018

On Building Constructive Formal Theories of Computation Noting the Roles of Turing, Church, and Brouwer | cite »
by Robert L. Constable
June 29, 2012

Proof Assistants and the Rise of Type Theory Circa 1912-2012
by Robert L. Constable
March 19, 2012

Type-Theoretic Methodology for Practical Programming Languages | cite »
by Karl Crary
1998

Systems

ShadowDB: A Replicated Database on a Synthesized Consensus Core | cite »
by Nicolas Schiper, Vincent Rahli, Robbert van Renesse, Mark Bickford, Robert L. Constable
October 07, 2012

Special Topics

Brouwer's Fan Theorem: An Overview
by Crystal Cheung
2015

Proofs

Proof Assistants and the Dynamic Nature of Formal Theories | cite »
by Robert L. Constable
June 29, 2012

Proofs as Process
by Robert L. Constable
2012

Programming Languages

A Hierarchical Approach to Formal Semantics With Application to the Definition of PL/ CS | cite »
by Robert L. Constable, James Donahue
July 01, 1979

Nuprl

A Verified Theorem Prover Backend Supported by a Monotonic Library | cite »
by Vincent Rahli, Liron Cohen, Mark Bickford
November 01, 2018

Nuprl as Logical Framework for Automating Proofs in Category | cite »
by Christoph Kreitz
April 26, 2012

Validating Brouwer’s Continuity Principle for Numbers Using Named Exceptions | cite »
by Vincent Rahli, Mark Bickford
January 02, 2018

Logic

A Constructive Programming Logic
by Robert L. Constable
August 08, 1977

Automated Reasoning in Herbrand Structures
by Liron Cohen, Reuben Rowe, Yoni Zohar
June 03, 2019

Bar Induction: The Good, the Bad, and the Ugly | cite »
by Vincent Rahli, Mark Bickford, Robert L. Constable
April 11, 2017

Intuitionistic Completeness of First-Order Logic | cite »
by Robert L. Constable, Mark Bickford
October 07, 2011

Intuitionistic Completeness of First-Order Logic | cite »
by Robert L. Constable, Mark Bickford
January 01, 2014

Logic, Construction, Computation | cite »
by Ulrich Berger
July 29, 2012

Polymorphic Logic | cite »
by Mark Bickford, Robert L. Constable
July 29, 2012

Russell's Orders in Kripke's Theory of Truth and Computational Type Theory | cite »
by Robert L. Constable, Fairouz Kamareddine, Twan Laan
2012

Type Theoretic Semantics for First-Order Logic
by Robert L. Constable
May 24, 2012

Uniform Inductive Reasoning in Transitive Closure Logic via Infinite Descent | cite »
by Liron Cohen, Reuben Rowe
July 01, 2018

Virtual Evidence: A Constructive Semantics for Classical Logics
by Robert L. Constable
2014

Intuitionistic Mathematics

Connectedness of the Continuum in Intuitionistic Mathematics | cite »
by Mark Bickford
2018

History

Transforming the Academy: Knowledge Formation in the Age of Digital Information
by Robert L. Constable
January 11, 2007

Geometry

A Formal Exploration of Constructive Geometry
by Robert L. Constable, Sarah Sernaker
2016

Implementing Euclid's Straightedge and Compass Constructions in Type Theory | cite »
by Ariel Kellison, Mark Bickford, Robert L. Constable
2018

EventML

EventML: Specification, verification, and implementation of crash-tolerant state machine replication systems | cite »
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
November 15, 2017

Interfacing with Proof Assistants for Domain Specific Programming Using EventML | cite »
by Vincent Rahli
July 11, 2012

Cubical Type Theory

Formalizing Category Theory and Presheaf Models of Type Theory in Nuprl | cite »
by Mark Bickford
2018

A Causal Logic of Events in Formalized Computational Type Theory | cite »
by Mark Bickford, Robert L. Constable
2005

A Computational Analysis of Girard's Translation and LC | cite »
by Chetan Murthy
1992

A Constructive Completeness Proof for the Intuitionistic Propositional Calculus | cite »
by Judith Underwood
1990

A Constructive Proof of Higman's Lemma | cite »
by Chetan Murthy, James R. Russell
1990

A Dependent Set Theory
by Wojciech Moczydlowski
2007

A Diversified and Correct-by-Construction Broadcast Service | cite »
by Vincent Rahli, Nicolas Schiper, Robbert van Renesse, Mark Bickford, Robert L. Constable
October 30, 2012

A Generic Approach to Proofs about Substitution
by Abhishek Anand, Vincent Rahli
July 17, 2014

A Graph-Based Approach towards Discerning Inherent Structures in a Digital Library of Formal Mathematics. | cite »
by Lori Lorigo, Jon Kleinberg, Richard Eaton, Robert L. Constable
2004

A Logic for Correct Program Development | cite »
by Joseph L. Bates
1981

A Logic of Events | cite »
by Mark Bickford, Robert L. Constable
2003

A Matrix Characterization for MELL | cite »
by Heiko Mantel, Christoph Kreitz
1998

A Nominal Exploration of Intuitionism
by Vincent Rahli, Mark Bickford
January 18, 2016

A Non-Type-Theoretic Definition of Martin-Lof's Types | cite »
by Stuart F. Allen
1987

A Non-Type-Theoretic Semantics for Type-Theoretic Language | cite »
by Stuart F. Allen
1987

A Normalizing Intuitionistic Set Theory with Inaccessible Sets | cite »
by Wojciech Moczydlowski
2006

A Nuprl-PVS Connection: Integrating Libraries of Formal Mathematics | cite »
by Jon Kleinberg, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz
2003

A Proof Environment for the Development of Group Communication Systems | cite »
by Christoph Kreitz, Mark Hayden, Jason Hickey
1998

A type annotation scheme for Nuprl | cite »
by Douglas J. Howe
October 01, 1998

A Type Theory with Partial Equivalence Relations as Types
by Abhishek Anand, Mark Bickford, Robert L. Constable, Vincent Rahli
May 12, 2014

A Uniform Procedure for Converting Matrix Proofs into Sequent-Style Systems | cite »
by Christoph Kreitz, Stephan Schmitt
2000

Abstract Identifiers and Textual Reference | cite »
by Stuart F. Allen
2002

Abstract Identifiers, Intertextual Reference and a Computational Basis for Recordkeeping | cite »
by Stuart F. Allen
2004

An Abstract Semantics for Atoms in Nuprl | cite »
by Stuart F. Allen
2006

An Environment for Automated Reasoning About Partial Functions | cite »
by David A. Basin
1988

An Evaluation Semantics for Classical Proofs | cite »
by Chetan Murthy
1991

An Experiment in Formal Design Using Meta-Properties | cite »
by Mark Bickford, Christoph Kreitz, Robbert van Renesse, Robert L. Constable
2001

An Object-Oriented Approach to Verifying Group Communication Systems | cite »
by Mark Bickford, Jason Hickey
1999

An Operational Approach to Combining Classical Set Theory and Functional Programming Languages | cite »
by Douglas J. Howe, Scott D. Stoller
1994

Aspects of the Computational Content of Proofs | cite »
by Judith Underwood
1994

Aspects of the Implementation of Type Theory | cite »
by Robert W. Harper
1985

Assigning Meaning to Proofs: A Semantic Basis for Problem Solving Environments | cite »
by Robert L. Constable
1989

Automated Complexity Analysis of Nuprl Extracted Programs | cite »
by Ralph Benzinger
2001

Automated Computational Complexity Analysis | cite »
by Ralph Benzinger
2001

Automated Fast-Track Reconfiguration of Group Communication Systems | cite »
by Christoph Kreitz
1999

Automated Proof of Authentication Protocols in a Logic of Events | cite »
by Mark Bickford
2010

Automatic Program Optimization Via the Transformation of Nuprl Synthesis Proofs | cite »
by Peter Madden
1988

Automating Inductive Specification Proofs | cite »
by Brigitte Pientka, Christoph Kreitz
1999

Automating Proofs in Category Theory | cite »
by Dexter Kozen, Christoph Kreitz, Eva Richter
2006

Automating Reasoning in an Implementation of Constructive Type Theory | cite »
by Douglas J. Howe
1988

Building Mathematics-Based Software Systems to Advance Science and Create Knowledge | cite »
by Robert L. Constable
2009

Building Problem Solving Environments in Constructive Type Theory | cite »
by David A. Basin
1990

Building Reliable, High-Performance Communication Systems from Components | cite »
by Xiaoming Liu, Christoph Kreitz, Robbert van Renesse, Jason Hickey, Mark Hayden, Kenneth Birman, Robert L. Constable
1999

Building Theories in Nuprl | cite »
by David A. Basin
1989

Byzantine Chain Replication | cite »
by Robbert van Renesse, Chi Ho, Nicolas Schiper
December 20, 2012

Classical Propositional Decidability via Nuprl Proof Extraction | cite »
by James L. Caldwell
1998

Classical Tools for Constructive Proof Search | cite »
by James L. Caldwell, Judith Underwood
1996

Component Specification Using Event Classes | cite »
by Mark Bickford
2009

Computational Complexity and Induction for Partial Computable Functions in Type Theory | cite »
by Robert L. Constable, Karl Crary
2002

Computational Foundations of Basic Recursive Function Theory | cite »
by Robert L. Constable, Scott F. Smith
1988

Computational Metatheory in Nuprl | cite »
by Douglas J. Howe
1988

Computational Type Theory -- Extended Version | cite »
by Robert L. Constable
2008

Concurrent Refinement in Nuprl | cite »
by Roderick Moten
1997

Connection-Based Theorem Proving in Classical and Non-Classical Logics | cite »
by Christoph Kreitz, Jens Otten
1999

Connection-Driven Inductive Theorem Proving | cite »
by Christoph Kreitz, Brigitte Pientka
2001

Constructive Analysis and Experimental Mathematics using the Nuprl Proof Assistant
by Mark Bickford
March 02, 2016

Constructive Automata Theory Implemented with the Nuprl Proof Development System | cite »
by Christoph Kreitz
1986

Constructive Mathematics and Automatic Program Writers | cite »
by Robert L. Constable
1971

Constructive Mathematics as a Programming Logic I: Some Principles of Theory | cite »
by Robert L. Constable
1985

Coq as a Metatheory for Nuprl with Bar Induction
by Vincent Rahli, Mark Bickford
September 14, 2015

Creating and Evaluating Interactive Formal Courseware for Mathematics and Computing | cite »
by Robert L. Constable
1996

Decidability Extracted: Synthesizing | cite »
by James L. Caldwell
1998

Dependence Analysis Through Type Inference | cite »
by Ozan Hafizogullari, Christoph Kreitz
1999

Dependent Intersection: A New Way of Defining Records in Type Theory | cite »
by Alexei Kopylov
2003

Developing Correctly Replicated Databases Using Formal Tools
by Nicolas Schiper, Vincent Rahli, Robbert van Renesse, Mark Bickford, Robert L. Constable
June 23, 2014

Effectively Nonblocking Consensus Procedures Can Execute Forever - a Constructive Version of FLP | cite »
by Robert L. Constable
2008

Enabling Large Scale Coherency Among Mathematical Texts | cite »
by Stuart F. Allen, Robert L. Constable
2006

Encoding Pi Calculus | cite »
by David Guaspari
2010

Enhancing the Nuprl Proof Development System and Applying it to Computational Abstract Algebra | cite »
by Paul B. Jackson
1995

Equality in Lazy Computation Systems | cite »
by Douglas J. Howe
1989

Experience Using Type Theory as a Foundation for Computer Science Circa 1985-1995 | cite »
by Robert L. Constable
1995

Exploring Abstract Algebra in Constructive Type Theory | cite »
by Paul B. Jackson
1994

Exporting and Reflecting Abstract Meta-mathematics | cite »
by Robert L. Constable
1994

Expressing and Implementing the Computational Content Implicit in Smullyan's Account of Boolean Valuations | cite »
by Stuart F. Allen, Robert L. Constable, Matthew Fluet
2004

Expressing Computational Complexity in Constructive Type Theory | cite »
by Robert L. Constable
1995

Extracting Constructive Content from Classical Proofs | cite »
by Chetan Murthy
1990

Extracting Efficient Code from Constructive Proofs | cite »
by James T. Sasaki
1985

Extracting Programs from Constructive HOL Proofs via IZF Set-Theoretic Semantics | cite »
by Robert L. Constable, Wojciech Moczydlowski
2006

Extracting Propositional Decidability: A Proof of Propositional Decidability in Constructive Type Theory and its Extracted Program | cite »
by James L. Caldwell
1997

Extracting the Resolution Algorithm from a Completeness Proof for the Propositional Calculus | cite »
by Wojciech Moczydlowski, Robert L. Constable
2007

Fast Tactic-Based Theorem Proving | cite »
by Jason Hickey, Aleksey Nogin
2000

Fault-Tolerant Distributed Theorem Proving | cite »
by Jason Hickey
1999

FDL: A Prototype Formal Digital Library
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo
2002

Formal Compiler Implementation in a Logical Framework | cite »
by Jason Hickey, Aleksey Nogin
2003

Formal Foundations of Computer Security | cite »
by Mark Bickford, Robert L. Constable
2008

Formal Objects in Type Theory Using Very Dependent Types | cite »
by Jason Hickey
1996

Formal Program Optimization in Nuprl Using Computational Equivalence and Partial Types | cite »
by Vincent Rahli, Mark Bickford, Abhishek Anand
April 22, 2013

Formal Reasoning About Communication Systems I: Embedding ML in Type Theory | cite »
by Christoph Kreitz
1997

Formal Reasoning About Communication Systems II: Automated Fast-Track Reconfiguration | cite »
by Christoph Kreitz
1998

Formal Specification, Verification, and Implementation of Fault-Tolerant Systems
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
March 31, 2013

Formal Specification, Verification, and Implementation of Fault-Tolerant Systems using EventML
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
September 01, 2015

Formal Theories and Software Systems: Fundamental Connections Between Computer Science and Logic | cite »
by Robert L. Constable
1992

Formalized Metareasoning in Type Theory | cite »
by Todd B. Knoblock, Robert L. Constable
1986

Formalizing Automata II: Decidable Properties | cite »
by Robert L. Constable, Pavel Naumov
1996

Formalizing Automata Theory I: Finite Automata | cite »
by Robert L. Constable, Paul B. Jackson, Pavel Naumov, Juan Uribe
1996

Formalizing chain replication
by Mark Bickford, David Guaspari
2006

Formalizing Constructive Real Analysis | cite »
by Max B. Forester
1993

Formalizing Reference Types in Nuprl | cite »
by Pavel Naumov
1998

Formally Verifying Hybrid Protocols with the Nuprl Logical Programming Environment | cite »
by Mark Bickford, Christoph Kreitz, Robbert van Renesse
2001

Foundations for the Implementation of Higher-Order Subtyping | cite »
by Karl Crary
1997

From dy/dx to []P: A Matter of Notation | cite »
by Stuart F. Allen
1998

Generating Event Logics with Higher-Order Processes as Realizers | cite »
by Mark Bickford, Robert L. Constable, David Guaspari
2010

Implementing Mathematics with the Nuprl Development System | cite »
by Robert L. Constable, Stuart F. Allen, H. M. Bromley, Walter Rance Cleaveland, J. F. Cremer, Robert W. Harper, Douglas J. Howe, Todd B. Knoblock, Nax P. Mendler, Prakash Panangaden, James T. Sasaki, Scott F. Smith
1986

Implementing Metamathematics as an Approach to Automatic Theorem Proving | cite »
by Robert L. Constable, Douglas J. Howe
1990

Implementing Number Theory: An Experiment with Nuprl | cite »
by Douglas J. Howe
1987

Implementing Reflection in Nuprl | cite »
by Eli Barzilay
2006

Importing Mathematics from HOL into Nuprl | cite »
by Douglas J. Howe
1996

Inductive Construction in Nuprl Type Theory Using Bar Induction
by Mark Bickford, Robert L. Constable
May 12, 2014

Inductive Definition in Type Theory | cite »
by Nax P. Mendler
1988

Infinite Objects in Type Theory | cite »
by Nax P. Mendler, Robert L. Constable, Prakash Panangaden
1986

Information-Intensive Proof Technology | cite »
by Robert L. Constable
2006

Innovations in Computational Type Theory using Nuprl | cite »
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo, Evan Moran
2006

Instantiation of Existentially Quantified Variables in Inductive Specification Proofs | cite »
by Brigitte Pientka, Christoph Kreitz
1998

Introduction to Classic ML | cite »
by Christoph Kreitz, Vincent Rahli
2011

Intuitionistic Ancestral Logic
by Liron Cohen, Robert L. Constable
October 10, 2015

Intuitionistic Tableau Extracted | cite »
by James L. Caldwell
1999

Investigating Correct-by-Construction Attack-Tolerant Systems | cite »
by Robert L. Constable, Mark Bickford, Robbert van Renesse
2010

Investigations in intersection types:Confluence, and semantics of expansion in the lambda-calculus, and a type error slicing method | cite »
by Vincent Rahli
2011

JProver: Integrating Connection-Based Theorem Proving into Interactive Proof Assistants | cite »
by Stephan Schmitt, Lori Lorigo, Christoph Kreitz, Aleksey Nogin
2001

Knowledge-Based Synthesis of Distributed Systems Using Event Structures
by Mark Bickford, Robert L. Constable, Joseph Y. Halpern, Sabina Petride
2004

Knowledge-based synthesis of distributed systems using event structures | cite »
by Mark Bickford, Robert L. Constable, Joseph Y. Halpern, Sabina Petride
2005

Lectures on: Classical Proofs as Programs | cite »
by Robert L. Constable
1992

Logical Aspects of Digital Mathematics Libraries (extended abstract) | cite »
by Stuart F. Allen, James L. Caldwell, Robert L. Constable
2001

Markov's Principle For Propositional Type Theory | cite »
by Alexei Kopylov, Aleksey Nogin
2001

Matrix-Based Constructive Theorem Proving | cite »
by Christoph Kreitz, Jens Otten, Stephan Schmitt, Brigitte Pientka
2000

Matrix-Based Inductive Theorem Proving | cite »
by Christoph Kreitz, Brigitte Pientka
2000

Meta-Synthesis: Deriving Programs That Develop Programs | cite »
by Christoph Kreitz
1992

Metalevel Programming in Constructive Type Theory | cite »
by Robert L. Constable
1992

Metalogical Frameworks | cite »
by David A. Basin, Robert L. Constable
1991

Metalogical Frameworks II: Developing a Reflected Decision Procedure | cite »
by William Aitken, Robert L. Constable, Judith Underwood
1999

Metamathematical Extensibility in Type Theory | cite »
by Todd B. Knoblock
1987

MetaPRL -- A Modular Logical Environment | cite »
by Jason Hickey, Aleksey Nogin, Robert L. Constable, Brian Aydemir, Eli Barzilay, Lori Lorigo
2003

Moving Proofs-as-Programs into Practice | cite »
by James L. Caldwell
1997

Naive Computational Type Theory | cite »
by Robert L. Constable
2002

Next Generation Proof Technology
by Robert L. Constable
December 27, 2012

Non-Restoring Integer Square Root: A Case Study in Design by Principled Optimization | cite »
by John O'Leary, Miriam Leeser, Jason Hickey, Mark Aagaard
1994

Normalization of intuitionistic set theories. | cite »
by Wojciech Moczydlowski
2006

Notational Definition and Top-down Refinement for Interactive Proof Development Systems | cite »
by Timothy G. Griffin
1988

Nuprl and Its Use in Circuit Design | cite »
by Paul B. Jackson
1992

Nuprl as a General Logic | cite »
by Robert L. Constable, Douglas J. Howe
1990

Nuprl's Class Theory and Its Applications | cite »
by Robert L. Constable, Jason Hickey
2000

Nuprl-Light: An Implementation Framework for Higher-Order Logics | cite »
by Jason Hickey
1997

Nuprl’s Inductive Logical Forms
by Mark Bickford, Robert L. Constable, Richard Eaton, Vincent Rahli
September 01, 2015

On computational open-endedness in Martin-Lof's type theory
by Douglas J. Howe
July 15, 1991

Partial Objects in Constructive Type Theory | cite »
by Scott F. Smith, Robert L. Constable
1987

Partial Objects in Type Theory | cite »
by Scott F. Smith
1989

Planning Proof Content for Communicating Induction | cite »
by Amanda Holland-Minkley
2002

Practical Reflection in Nuprl | cite »
by Eli Barzilay, Stuart F. Allen, Robert L. Constable
2003

Proofs as Programs | cite »
by Joseph L. Bates, Robert L. Constable
1985

Protocol Switching: Exploiting Meta-Properties | cite »
by Xiaoming Liu, Robbert van Renesse, Mark Bickford, Christoph Kreitz, Robert L. Constable
2001

Proving Hybrid Protocols Correct | cite »
by Mark Bickford, Christoph Kreitz, Robbert van Renesse, Xiaoming Liu
2001

Quotation and Reflection in Nuprl and Scheme | cite »
by Eli Barzilay
2001

Quotient Types: A Modular Approach | cite »
by Aleksey Nogin
2002

Reasoning About Functional Programs in Nuprl | cite »
by Douglas J. Howe
1993

Recent Results in Type Theory and Their Relationship to Automath | cite »
by Robert L. Constable
2003

Recursive Definitions in Type Theory | cite »
by Robert L. Constable, Nax P. Mendler
1985

Reflecting Higher-Order Abstract Syntax in Nuprl | cite »
by Eli Barzilay, Stuart F. Allen
2002

Reflecting the Open-Ended Computation System of Constructive Type Theory | cite »
by Robert L. Constable, Stuart F. Allen, Douglas J. Howe
1990

Reversal-Bounded Computations | cite »
by Tat-hung Chan
1980

Search Algorithms in Type Theory | cite »
by James L. Caldwell, Ian Gent, Judith Underwood
2000

Semantic Foundations for Embedding HOL in Nuprl | cite »
by Douglas J. Howe
1996

Semantics of Evidence | cite »
by Robert L. Constable
1985

Some Normalization Properties of Martin-Lof's Type Theory and Applications | cite »
by David A. Basin, Douglas J. Howe
1991

Specifications and Proofs for Ensemble Layers | cite »
by Jason Hickey, Nancy Lynch, Robbert van Renesse
1999

Tactic-Based Theorem Proving and Knowledge-Based Forward Chaining: An Experiment with Nuprl and Ontic | cite »
by Wilfred Z. Chen
1992

The Computational Behaviour of Girard's Paradox | cite »
by Douglas J. Howe
1987

The Ensemble System | cite »
by Mark Hayden
1998

The FDL Navigator: Browsing and Manipulating Formal Content | cite »
by Christoph Kreitz
2003

The Horus and Ensemble Projects: Accomplishments and Limitations | cite »
by Kenneth Birman, Robert L. Constable, Mark Hayden, Jason Hickey, Christoph Kreitz, Robbert van Renesse, Ohad Rodeh, Werner Vogels
2000

The Logic of Events, a framework to reason about distributed systems | cite »
by Mark Bickford, Vincent Rahli, Robert L. Constable
2012

The Logic of Information Flow and the Foundations of Distributed Computing
by Robert L. Constable
January 10, 2013

The MetaPRL Logical Programming Environment | cite »
by Jason Hickey
2001

The Nuprl Open Logical Environment | cite »
by Stuart F. Allen, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo
2000

The Nuprl Proof Development System, Version 4.2 Reference Manual and User's Guide | cite »
by Paul B. Jackson
1996

The Oyster-Clam System | cite »
by Alan Bundy, Frank Van Harmelen, Christian Horn, Alan Smaill
1990

The Semantics of Reflected Proof | cite »
by Stuart F. Allen, Robert L. Constable, Douglas J. Howe, William Aitken
1990

The Structure of Nuprl's Type Theory | cite »
by Robert L. Constable
1997

The Triumph of Types: Principia Mathematica's Impact on Computer Science | cite »
by Robert L. Constable
2010

The Value of Automated Deduction | cite »
by Robert L. Constable
1996

Towards a Formally Verified Proof Assistant
by Abhishek Anand, Vincent Rahli
July 14, 2014

Towards Integrated Systems for Symbolic Algebra and Formal Constructive Mathematics | cite »
by Robert L. Constable, Paul B. Jackson
1994

Type Theoretical Foundations for Data Structures, Classes, and Objects | cite »
by Alexei Kopylov
2004

Type-Theoretic Models of Concurrency | cite »
by Walter Rance Cleaveland
1987

Unguessable Atoms: A Logical Foundation for Security | cite »
by Mark Bickford
2008

Unguessable Atoms: A Logical Foundation for Security | cite »
by Mark Bickford
2006

Using Formal Reference to Enhance Authority and Integrity in Online Mathematical Texts | cite »
by Stuart F. Allen, Robert L. Constable, Lori Lorigo
2006

Using Nuprl for the Verification and Synthesis of Hardware | cite »
by Miriam Leeser
1992

Using Reflection to Explain and Enhance Type Theory | cite »
by Robert L. Constable
1994

Verbalization of High-Level Formal Proofs | cite »
by Amanda Holland-Minkley, Regina Barzilay, Robert L. Constable
1999

Verification of Combinational Logic in Nuprl | cite »
by David A. Basin, Peter Del Vecchio
1989

Verifying a Logic Synthesis Tool in Nuprl: A Case Study in Software Verification | cite »
by Mark Aagaard, Miriam Leeser
1993

Writing Constructive Proofs Yielding Efficient Extracted Programs | cite »
by Aleksey Nogin
2001

Writing Programs That Construct Proofs | cite »
by Robert L. Constable, Todd B. Knoblock, Joseph L. Bates
1984

A Programming Logic | cite »
by Robert L. Constable, Michael J. O'Donnell
1978

A Programming Logic for Distributed Systems | cite »
by Mark Bickford, David Guaspari
2005

A Semantics of Objects in Type Theory | cite »
by Jason Hickey
1997

A Simple Type Theory for Reasoning About Functional Programs | cite »
by Douglas J. Howe
1992

Collaborative Mathematics Environments | cite »
by Robert L. Constable, Paul Chew, Keshav Pingali, Steve Vavasis, Richard Zippel
1996

Developing a Toolkit for Floating-Point Hardware in the Nuprl Proof Development System | cite »
by Paul B. Jackson
1991

Extracting Circuits from Constructive Proofs | cite »
by David A. Basin
1991

Finding Computational Content from Classical Proofs | cite »
by Robert L. Constable, Chetan Murthy
1991

Formally Verified Synthesis of Combinational Circuits | cite »
by David A. Basin, Geoffrey Brown, Miriam Leeser
1991

Information Management in the Service of Knowledge and Discovery | cite »
by Lori Lorigo
2006

Logic-Based Knowledge Representation | cite »
by Paul B. Jackson
1989

Recursive Types and Type Constraints in Second-Order Lambda Calculus | cite »
by Nax P. Mendler
1987

Reflection in Constructive and Non-Constructive Automated Reasoning | cite »
by Fausto Giunchiglia, Alan Smaill
1989

Termination of Single-Threaded One-rule Semi-Thue Systems | cite »
by Wojciech Moczydlowski, Alfons Geser
2005

The Nuprl Proof Development System | cite »
by Christian Horn
1988

The Tableau Algorithm for Intuitionistic Propositional Calculus as a Constructive Completeness Proof | cite »
by Judith Underwood
1993

Type Theory as a Foundation for Computer Science | cite »
by Robert L. Constable
1991