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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 & 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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