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	January 1985,	(Cornell TR 85-659)	<li>	<font color="#ee0000">Constable, Robert L.,</font>	<i>Constructive Mathematics as a programming logic:  some principles of theory,</i>	<b>Annals of Mathematics,</b>	Vol. 24,	Elsevier Science Publishers, B.V. (North-Holland),	1985,	(Reprinted from 		<i>Topics in the Theory of Computation, </i>		<b> Selected Papers of the Intnl. Conf. on "Foundations of Computation Theory," FCT '83</b>	)	<li>	<font color="#ee0000">Constable, Robert L. and T. Knoblock and J.L. Bates,</font>	<i>Writing programs that construct proofs,</i>	<b>J. Automated Reasoning,</b>	v. 1,	n. 3,	pp. 285-326,	1984	<li>	<font color="#ee0000">Constable, Robert L. and Michael J. O'Donnell,</font>        <b>A Programming Logic</b>,        Winthrop, Mass,        1978	<li>	        <font color="#ee0000">Constable, Robert L.,</font>        <i>Constructive mathematics and automatic program writers,</i>        <b>Proc. IFIP Congr.,</b>        Ljubljana,	pp. 229-233,        1971	<li>	<font color="#ee0000">Giunchiglia, F. and A. Smaill,</font>	<i>Reflection in constrcutive and non-constructive automated reasoning,</i>	<b>Meta-Programming in Logic Programming,</b>	MIT Press,	1989,	Abramson, H. and M.H. Rogers (Editors),	pp. 123-140	<li>	<font color="#ee0000">Horn, C.,</font>	<i>The Nuprl proof development system,</i>	<b>Dept. of Artificial Intelligence, Edinburgh,</b>	1988,	Working paper 214        <li>	<font color="#ee0000">Howe, Douglas J.and Stoller, Scott D.,</font>        <i>An operational approach to combining classical set theory and functional programming languages, </i>        <b>International Symposium TACS '94,</b>        (Lecture Notes in Computer Science),        Springer-Verlag,        1994,	Goos, G. and Hartmanis, J. (Editors),        pp. 36-55	<li>	<font color="#ee0000">Howe, Douglas J.,</font>	<i>Reasoning About Functional Programs in Nuprl,</i>	<b>Functional Programming, Concurrency, Simulation and Automated Reasoning,</b>	(Lecture Notes in Computer Science),	1993,	(To appear)	<li>	<font color="#ee0000">Howe, Douglas J.,</font>	<b>A Simple Type Theory for Reasoning about Functional Programs.</b>	Computer Science Department, Cornell Univeristy,	(Pre print),	1992	<li>	<font color="#ee0000">Howe, Douglas J.,</font>	<i>Equality in Lazy Computation Systems,</i>	<b>Proc. of Fourth Symp. on Logic in Comp. Sci.,</b>	1989,	IEEE Computer Society,	pp. 198-203	<li>	<font color="#ee0000">Howe, Douglas J.,</font>	<i>Computational Metatheory in Nuprl,</i>	<b>9th International Conference on Automated Deduction,</b>	(Lecture Notes in Computer Science, Vol. 310),	E. Lusk and R. Overbeek (Editors),	pp. 238-257,	Springer-Verlag, New York,	1988	<li>	<font color="#ee0000">Howe, Douglas J.,</font>	<b>Automating Reasoning in an Implementation of Constructive Type Theory</b>,	Cornell University,	1988	<li>	<font color="#ee0000">Howe, Douglas J.</font>	<i>Implementing Number Theory: An Experiment with Nuprl,</i>	<b>8th International Conference on Automated Deduction,</b>	(Lecture Notes in Computer Science, Vol. 230),	1987,	pp. 404-415	<li>	<font color="#ee0000">Howe, Douglas J.</font>	<i>The Computational Behaviour of Girard's Paradox</i>	<b>Proc. of Second Symp. on Logic in Comp. Sci.</b>	IEEE,	1987,	pp. 205--214	<li>	<font color="#ee0000">Jackson, Paul B. and Robert L. Constable,</font>	<i>Type Theory for Computer Algebra,</i>	(In preparation),	1995	<li>	<font color="#ee0000">Paul B. Jackson,</font>	<b>Enhancing the Nuprl Proof Development System and Applying it to Computational Abstract Algebra,</b>	Cornell University,	1994,	Ithaca, NY,	<li>	<font color="#ee0000">Paul B.~Jackson,</font>	<b>The Nuprl Proof Development System, Version 4.1 Reference Manual and User's Guide,</b>	Cornell University,	Ithaca, NY,	1994	<li>	<font color="#ee0000">Paul B. Jackson,</font>	<i>Exploring Abstract Algebra in Constructive Type Theory</i>,	<b>12th Conference on Automated Deduction</b>,	1994,	A. Bundy (Editor),	Springer-Verlag,	New York	<li>	<font color="#ee0000">Jackson, Paul B.,</font>	<i>Developing a toolkit for floating-point hardware in the Nuprl proof development system, </i>	<b>Advanced Research Workshop on Correct Hardware Design Methodologies,</b>	pp. 401-419,	Organized by ESPRIT, Turin, Italy,	June 1991	<li>	<font color="#ee0000">Jackson, Paul B.,</font>	<i>Nuprl and its Use in Circuit Design, </i>	<b>Proceedings of the IFIP TC10/WG10.2 	International Conference on Theorem Provers in Circuit Design: 	Theory, Practice and Experience, </b> 	V. Stavridou, T.F. Melham and R.T. Boute (Editors),	pp. 311-336,	North-Holland, The Netherlands,	1992	<li>	<font color="#ee0000">Paul B. Jackson,</font>	<b>Logic-Based Knowledge Representation,</b>	MIT Press, Cambridge, MA,	1989	<li>        <font color="#ee0000">Knoblock, Ted,</font>        <b>Mathematical Extensibility in Type Theory</b>,        Cornell University,        1987	<li>	<font color="#ee0000">Knoblock, Ted B. and Robert L. Constable,</font>	<i>Formalized Metareasoning in Type Theory,</i>	<b>Proc. of the First Symp. on Logic in Comp. Sci.,</b>        pp. 237-248,	1986,	IEEE	<li>	<font color="#ee0000">Kreitz, Charles,</font>	<b>Constructive Automata Theory Implemented with the Nuprl Proof Development System,</b>	Cornell University,	1986,	Ithaca, New York	<li>	<font color="#ee0000">Kreitz, Charles,</font>	<b>Meta-Synthesis:  Deriving Programs that Develop Programs,</b>	Technical University of Darmstadt,	November, 1992	<li>	<font color="#ee0000">O'Leary, John; Miriam Leester; Jason Hickey; and Mark Aagaard,</font>	<i>Non-Restoring Integer Square Root: A Case Study in Design by Principled Optimization,</i>	<b>International Conference on Theorem Proving &amp;  Circuit Design,</b>	1994	<li>	<font color="#ee0000">Leeser, Miriam,</font>	<i>Using Nuprl for the verification and synthesis of hardware,</i>	<b>Phil. Trans. R. Soc. Lond.</b>,	1992,	v. 339,	pp. 49-68	<li>	<font color="#ee0000">Madden, P.,</font>	<i>Automatic program optimization via the transformation of Nuprl synthesis proofs, </i>	<b>Proc. of the 1988 Alvey Technical Conf.,</b>	1988,	Clarke, L. (Editor),	(Also available from Edinburgh as DAI Research Paper No. 392)	<li>	<font color="#ee0000">Mendler, P.F.</font>	<i>Recursive Types and Type Constraints in Second-Order Lambda Calculus</i>	<b>Proc. of Second Symp. on Logic in Comp. Sci.</b>	IEEE,	1987,	pp. 30-36	<li>	<font color="#ee0000">Mendler, P.F.,</font>	<b>Inductive Definition in Type Theory,</b>	Cornell University,	Ithaca, NY,	1988	<li>	<font color="#ee0000">Mendler, N.; Robert L.~Constable; and P. Panangaden</font>	<i>Infinite Objects in Type Theory</i>	<b>Proc. of First Symp. on Logic in Comp. Sci.</b>	IEEE,	1986,	pp. 249-257	(Cornell TR 86-743)	<li>	<font color="#ee0000">Murthy, Chetan,</font>	<i>A computational analysis of Girard's translation and LC,</i>	<b>Proc. of Seventh Symp. on Logic in Comp. Sci.,</b>	1992	<li>	<font color="#ee0000">Murthy, Chetan,</font>	<i>An Evaluation Semantics for Classical Proofs,</i>	<b>Proc. of Sixth Symp. on Logic in Comp. Sci.,</b>	1991,	pp. 96-109,	IEEE, Amsterdam, The Netherlands	<li>	<font color="#ee0000">Russell, J. and Chetan Murthy,</font>	<i>A Direct Constructive Proof of Higman's Lemma,</i>	pp. 257-269,	<b>Proc. of Fifth Symp. on Logic in Comp. Sci.,</b>	IEEE,	1990	<li>	<font color="#ee0000">Murthy, Chetan,</font>	<b>Extracting Constructive Content for Classical Proofs</b>,	Cornell University, Dept. of Computer Science,	1990,	(TR 89-1151)	<li>        <font color="#ee0000">Sasaki, James T.,</font>        <b>The Extraction and Optimization of Programs from Constructive Proofs,</b>        Cornell University,        1985	<li>        <font color="#ee0000">Smith, Scott F. and Robert L. Constable,</font>        <i>Partial objects in constructive type theory, </i>	<b>Proc. of Second Symp. on Logic in Comp. Sci.,</b>	IEEE, Washington, D.C.,	pp. 183-93,        1987		<li>	<font color="#ee0000">Smith, Scott F.,</font>	<b>Partial Objects in Type Theory,</b>	Cornell University,	Ithaca, NY,	1989	<li>	<font color="#ee0000">J.L. Underwood,</font>	<b>Aspects of the Computational Content of Proofs,</b>	Cornell University,	1994,	Ithaca, NY	(Cornell TR94-1460)		<li>	<font color="#ee0000">Underwood, Judith,</font>	<i>The Tableau Algorithm for Intuitionistic Propositional   	Calculus as a Constructive Completeness Proof</i>,	<b>Proceedings of the Workshop on Theorem Proving with Analytic Tableaux,</b>  	Marseille, France,        pp. 245-248,	1993,	(Available as Technical Report MPI-I-93-213  	Max-Planck-Institut fur Informatik, Saarbrucken, Germany)	<li>	<font color="#ee0000">Underwood, Judith,</font>	<b>A Constructive Completeness Proof for the Intuitionistic Propositional Calculus</b>,	Cornell University,	(Cornell TR90-1179),	1990    </ol>    <p>  <li> <b>Research Papers</b>    <p>	<ul>		<li> <font color="#eeee00">Coming soon		<li> at your browser!</font>	</ul>    <p>  <li> <b>Research Notes</b>    <p>	<ul>		<li> <font color="#eeee00">Coming soon		<li> at your browser!</font>	</ul></ul><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><img src="http://www.cs.cornell.edu/Info/Projects/NuPrl/icons/line.red.right.gif"><p><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><A HREF="http://www.cs.cornell.edu/Info/Projects/NuPrl/index.html"> <!WA18><!WA18><!WA18><!WA18><!WA18><!WA18><!WA18><!WA18><!WA18><!WA18><!WA18><!WA18><IMG SRC="http://www.cs.cornell.edu/Info/Projects/NuPrl/icons/index.gif"> Return to Main Index </A> <P><ADDRESS> Nuprl Project / nuprl@cs.cornell.edu </ADDRESS>

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