@article{SPHM_1993___2_A2_0, author = {Longo, Giuseppe}, title = {Some {Aspects} of {Impredicativity}}, journal = {S\'eminaire de Philosophie et Math\'ematiques}, eid = {2}, pages = {10--28}, publisher = {IREM Paris-Nord}, number = {2}, year = {1993}, language = {en}, url = {http://archive.numdam.org/item/SPHM_1993___2_A2_0/} }
Longo, Giuseppe. Some Aspects of Impredicativity. Séminaire de Philosophie et Mathématiques, Les irrationalités de la logique, no. 2 (1993), article no. 2, 19 p. http://archive.numdam.org/item/SPHM_1993___2_A2_0/
The finitary projections model and the solution of higher order domain equations" IEEE Conference on Logic in Computer Science, Boston, June 1986.
, , [1986] "Type-free compiling of parametric Types" IFIP Conference Formal description of Programming Concepts Ebberup (DK), North Holland, 1987 (to appear). | MR
, [1986] "Categories, Types and Structures, M.I.T. Press. | MR
, [1991]The lambda calculus: its syntax and semantics, Revised edition, N. H.. | MR | Zbl
[1984]DI-domains as a model for λβP and higher order functional languages" draft, CMU.
[1988] "Extensional models for polymorphism" TAPSOFT-CFLP, Pisa. | MR | Zbl
, [1987] "The Mathematical Heritage of Henri Poincaré, Vol. 39, Proceedings of Symposia in Pure Mathematics, American Math Society. | Zbl
[1983]On the significance of principle of excluded middle in mathematics, especialy in function theory." in van Heijenoort [1967], pp. 302-334.
[1923]. "A categorical approach to realizability and polymorphic types" 3rd ACM Symp. on Math. Found of Lang. Seman., New Orleans, LNCS vol. 298, Springer- Verlag. | Zbl
, , [1987] "A polymorphic ;-calculus with Type:Type", Preprint, Syst Res. Center, Dig. Equip. Corp.
[1986] "A Quest preview", Preprint, Syst. Res. Center, Dig. Equip. Corp.
[1988] "A semantic basis for Quest", Journal of Functional Programming, vol. 1, n. 2, 1991 (pp.417-458). | MR | Zbl
, [1991] "Hermann Weyl, Springer-Verlag, Berlin Heidelberg, Germany.
[1986]Domain theoretic models of polymorphism" Info&Comp.. (to appear). | MR | Zbl
, , [1988] "A Categorical Semantics of Constructions" Proceedings of L. I. C. S. '88, Edinburgh.
[1988] "Systems of predicative analysis" JSL 29, 1-30. | MR | Zbl
[1964 "Autonomous Transfinite Progressions and the Extent of Predicative Mathematics." In Logic, Methodology and Philosophy of Science III (Rootsellar, ed.), 121-135. | MR | Zbl
[1968] "A language and axioms for explicit mathematics", in Lecture Notes in Mathematics 450, Springer-Verlag, pp. 87-139. | MR | Zbl
[1975] "Foundational ways", in Perspectives in Mathematics (Birkha^ser, Basel), 147- 158. | MR | Zbl
[1984] "Infinity in mathematics: is Cantor necessary?, in (Toraldo di Francia, G., ed.) L'infinito nella scienza/ Infinity in science, Enciclopedia Italiana (Rome), 151-210.
[1986] "Weyl Vindicated: "Das Kontinuum" 70 Years Later", preprint, Stanford University (Proceedings of the Cesena Conference in Logic and Philosophy of Science, to appear).
[1987] "Interpretation fonctionelle et elimination des coupure dans l'arithmetic d'ordre superieur," These de Doctorat d'Etat, Paris.
[1972] "The system F of variable types, fifteen years later" Theor. comp. Sci, vol. 45, pp. 159-192. | MR | Zbl
[1986]Poincare Against the Logicists" to appear W. Aspray and P.Kitcher, Essays in the History and Philosophy of Mathematics, (Minn. Studies in the Phil, of Science). | MR
[1986] "A framework for defining logics" LICS 87, Cornell. | Zbl
, , [1987] "From Frege to Godel, Harvard University Press. Cambridge, Massachusetts. | Zbl
[1967]On the infinite" in van Heijenoort [1967], pp. 367-392.
[1925] "The foundations of mathematics." in van Heijenoort [1967], pp. 464-480.
[1927] "Lambda-calculus models and extensionality," Zeit. Math. Logik Grand. Math. n. 2, vol. 26 (289-310). | MR | Zbl
, [1980] "The effective Topos," in The Brouwer Symposium, (Troelstra, Van Dalen eds.) North-Holland. | MR | Zbl
[1982] "A small complete category" Lecture delivered at the Conference Church's Thesis after 50 years, Zeiss (NL), June 1986 (Ann. Pure Appl. Logic, to appear). | MR | Zbl
[1987] "The Theory of Constructions: categorical semantics and topos theoretic models" Categories in Comp. Sci. and Logic, Boulder (AMS notes). | Zbl
, [1987] "Combinatory reduction systems" Thesis, Univ. Utrecht; publ. Math Centre, Kruislaan 413, Amsterdam, Holland. | MR | Zbl
[1980] "La Predicativit" In Bull. Soc math. France. 88, 1960, p. 371 a 391. | Numdam | MR | Zbl
[1960] "Functions, Ordinals, Species." In Logic, Methodology and Philosophy of Science III (Rootsellar, ed.), pp. 145-159. | MR | Zbl
[1968] "On Church's Formal Theory of functions and functionals," Lecture delivered at the Conference Church's Thesis after 50 years, Zeiss (NL), June 1986 (Ann. Pure Appl. Logic, to appear). | MR
[1987] "From type-structures to Type Theories" notes for a graduate course at Carnegie Mellon University.
[1988] "Constructive Natural Deduction and its ω-set Interpretation" Mathematical Structures in Computer Science, vol. 1, n. 2,1991 (pp. 215-253). | MR | Zbl
, [1988] "A category-theoretic characterization of functional completeness" Theor. Com. Sci. vol. 70, 2, 1990 (pp. 193-211). | MR | Zbl
, [1989] "Modelli non estensionali del polimorfismo in programmazione funzionale" Tesi di Dottorato, Pisa (in part to appear in the LISP Conference, 1988).
[1988] "Intuitionistic Type Theory, Bibliopolis, Napoli. | MR
[1984]Empty types in polymorphic lambda calculus" (ACM Conference on) POPL '87, Munich.
, , , [1987] "Type is not a type", (ACM Conference on) POPL '86.
[1986] "A type-inference approach to reduction properties and semantics of polymorphic expressions" ACM Conference on LISP and Functional Programming, Boston.
[1986] "Abstract types have exixtential types" Proc. Popl 85, ACM.
, [1985] "Polymorphism is set-theoretic, constructively" Symposium on Category Theory and Comp. Sci., SLNCS 283 (Pitt et al. eds), Edinburgh. | MR | Zbl
[1987] "Derni <res Pens> es, (english edition, Dover Publ., Inc., New York, 1963).
[1913]Polymorphism is not set-theoretic," Symposium on Semantics of Data Types, (Kahn, MacQueen, Plotkin, eds.) LNCS 173, Springer-Verlag | MR | Zbl
[1984], "Continuity and efffectiveness in Topoi" D. Phil. Thesis, Oxford Univ.
[1986th] "About Modest Sets" Notes for a talk delivered in Pisa. | Zbl
[1986] "Continuous lattices" Toposes, algebraic Geometry and Logic, (Lawvere ed.), SLNM 274, (pp.97-136) Springer-Verlag. | MR | Zbl
[1972] "Data types as lattices," SIAM Journal of Computing, 5 (pp. 522-587). | MR | Zbl
[1976] "A space of retracts" Manuscript, Bremen.
[1980] "Some ordered sets in Computer Science," in Ordered Sets (Rival Ed.), Reidel. | MR | Zbl
[1982] "Categorical semantics for higher order polymorphic lambda calculus", JSL, vol. 52, n. 4, pp. 969-989. | MR | Zbl
[1987] "Inspired Mathematics or Applied Mathematics ? (Epistemological and historical notes on Catastrophe Controversy)" Fundamenta Scientiae vol. 2, n.3/4, pp. 321-343. | MR
[1981] "Notes in intutionistic second order arithmetic," Cambridge Summer School in Mathematical Logic, Springer LNM 337, pp. 171-203. | MR | Zbl
[1973] "Das Kontinuum, (italian edition, care of B. Veit, Bibliopolis, Napoli, 1977).
[1918]Comments on Hubert's second lecture on the foundations of mathematics." in van Heijenoort [1967]
[1927] "Mind and Nature, Univ. of Pennsylvania publ.. | JFM | MR
[1934]Philosophy of Mathematics and Natural Science, Princeton University Press, Princeton, New Jersey. | MR | Zbl
[1949]Symmetry, Princeton University Press, Princeton, New Jersey. | MR | Zbl
[1952]Axiomatic Versus Constructive Procedures in Mathematics." (Edited by T. Tonietti) The Mathematical Intelligence Vol. 7, No. 4, Springer-Verlag New York. | MR | Zbl
[1985] "