Type theory and functional programming
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[1] David A. Basin,et al. Verification Of Combinational Logic in Nuprl , 1989, Hardware Specification, Verification and Synthesis.
[2] P. Mendler. Inductive Definition in Type Theory , 1988 .
[3] D. Prawitz. Natural Deduction: A Proof-Theoretical Study , 1965 .
[4] A. Troelstra. Metamathematical investigation of intuitionistic arithmetic and analysis , 1973 .
[5] Peter Schroeder-Heister,et al. Generalized rules for quantifiers and the completeness of the intuitionistic operators &, ν, ⊃, λ, ∀, ε , 1984 .
[6] Simon J. Thompson. Laws in Miranda , 1986, LFP '86.
[7] Robert L. Constable,et al. Proofs as programs , 1985, TOPL.
[8] William W. Tait,et al. Intensional interpretations of functionals of finite type I , 1967, Journal of Symbolic Logic.
[9] Anne Sjerp Troelstra. Strong normalization for typed terms with surjective pairing , 1986, Notre Dame J. Formal Log..
[10] C. Yates. Recursive Functions , 1970, Nature.
[11] Furio Honsell,et al. A framework for defining logics , 1993, JACM.
[12] Elliott Mendelson,et al. Introduction to Mathematical Logic , 1979 .
[13] S. Hayashi,et al. PX, a computational logic , 1988 .
[14] John C. Reynolds,et al. Towards a theory of type structure , 1974, Symposium on Programming.
[15] H. Enderton. Elements of Set Theory , 1977 .
[16] J. Y. Girard,et al. Interpretation fonctionelle et elimination des coupures dans l'aritmetique d'ordre superieur , 1972 .
[17] Gérard Huet,et al. Logical Foundations of Functional Programming , 1990 .
[18] Susumu Hayashi,et al. An introduction to PX , 1990 .
[19] Peter Schroeder-Heister,et al. The completeness of intuitionistic logic with respect to a validity concept based on an inversion principle , 1983, J. Philos. Log..
[20] Haskell B. Curry,et al. Combinatory Logic, Volume I , 1959 .
[21] R. J. M. Hughes,et al. Design and Implementation of Programming Languages , 1977, Lecture Notes in Computer Science.
[22] M. Beeson. Foundations of Constructive Mathematics , 1985 .
[23] Bengt Nordström,et al. Types and Specifications , 1983, IFIP Congress.
[24] Robin Milner,et al. On using Edinburgh LCF to prove the correctness of a parsing algorithm , 1982 .
[25] Lawrence C. Paulson,et al. Logic and computation - interactive proof with Cambridge LCF , 1987, Cambridge tracts in theoretical computer science.
[26] Albert R. Meyer,et al. "Type" is not a type , 1986, POPL '86.
[27] Henk Barendregt,et al. The Lambda Calculus: Its Syntax and Semantics , 1985 .
[28] Raymond Turner,et al. A Constructive Set Theory for Program Development , 1988, FSTTCS.
[29] Per Martin-Löf,et al. Intuitionistic type theory , 1984, Studies in proof theory.
[30] Joseph E. Stoy,et al. Denotational Semantics: The Scott-Strachey Approach to Programming Language Theory , 1981 .
[31] Edsger W. Dijkstra,et al. A Discipline of Programming , 1976 .
[32] Gérard Huet. A uniform approach to type theory , 1990 .
[33] D. A. Turner,et al. Miranda: A Non-Strict Functional language with Polymorphic Types , 1985, FPCA.
[34] Christine Paulin-Mohring,et al. Extracting ω's programs from proofs in the calculus of constructions , 1989, POPL '89.
[35] Simon L. Peyton Jones,et al. The Implementation of Functional Programming Languages , 1987 .
[36] J. Lambek,et al. Introduction to higher order categorical logic , 1986 .
[37] Paul Chisholm,et al. Derivation of a Parsing Algorithm in Martin-Löf's Theory of Types , 1987, Sci. Comput. Program..
[38] E. Van Gestel,et al. Programming in Martin-Löf's Type Theory: an Introduction : Bengt Nordström, Kent Petersson and Jan M. Smith Intl. Series of Monographs on Computer Science, Vol. 7, Oxford Science Publications, Oxford, 1990, 231 pages , 1991 .
[39] B. Russell,et al. Principia Mathematica Vol. I , 1910 .
[40] Dan Synek,et al. A Set Constructor for Inductive Sets in Martin-Löf's Type Theory , 1989, Category Theory and Computer Science.
[41] Robert L. Constable,et al. Formalized Metareasoning in Type Theory , 1986, LICS.
[42] Von Kurt Gödel,et al. ÜBER EINE BISHER NOCH NICHT BENÜTZTE ERWEITERUNG DES FINITEN STANDPUNKTES , 1958 .
[43] Jean-Yves Girard,et al. The System F of Variable Types, Fifteen Years Later , 1986, Theor. Comput. Sci..
[44] Anne Sjerp Troelstra,et al. On the Syntax of Martin-Löf's Type Theories , 1987, Theor. Comput. Sci..
[45] Jan M. Smith,et al. An interpretation of Martin-Löf's type theory in a type-free theory of propositions , 1984, Journal of Symbolic Logic.
[46] P. Martin-Löf. An Intuitionistic Theory of Types: Predicative Part , 1975 .
[47] de Ng Dick Bruijn. Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem , 1972 .
[48] S. Thompson. Functional programming: executable specifications and program transformations , 1989, IWSSD '89.
[49] Philip Wadler,et al. How to make ad-hoc polymorphism less ad hoc , 1989, POPL '89.
[50] John Hughes,et al. Why Functional Programming Matters , 1989, Comput. J..
[51] Robert L. Constable,et al. Partial Objects In Constructive Type Theory , 1987, Logic in Computer Science.
[52] S. Allen. A Non-Type-Theoretic Semantics for Type-Theoretic Language , 1987 .
[53] Robert Harper. Introduction to standard ml , 1986 .
[54] William A. Howard,et al. The formulae-as-types notion of construction , 1969 .
[55] David Turner,et al. Research topics in functional programming , 1990 .
[56] Yiannis N. Moschovakis,et al. Elementary induction on abstract structures , 1974 .
[57] Richard S. Bird,et al. Introduction to functional programming , 1988, Prentice Hall International series in computer science.
[58] Thierry Coquand,et al. An Analysis of Girard's Paradox , 1986, LICS.
[59] Thomas Johnsson,et al. Lambda Lifting: Treansforming Programs to Recursive Equations , 1985, FPCA.
[60] Lawrence C. Paulson,et al. Constructing Recursion Operators in Intuitionistic Type Theory , 1986, J. Symb. Comput..
[61] P. Aczel. Frege Structures and the Notions of Proposition, Truth and Set* , 1980 .
[62] Scott F. Smith. Partial Objects in Type Theory , 1988 .
[63] P. Andrews,et al. A transfinite type theory with type variables , 1965 .
[64] Anne Salvesen,et al. The strength of the subset type in Martin-Lof's type theory , 1988, [1988] Proceedings. Third Annual Information Symposium on Logic in Computer Science.
[65] Chris Reade,et al. Elements of functional programming , 1989, International computer science series.
[66] David B. MacQueen,et al. A higher-order type system for functional programming , 1990 .
[67] A. S. Troelstra,et al. Realizability and Intuitionistic Logic , 1984 .
[68] Douglas James Howe. Automating reasoning in an implementation of constructive type theory , 1988 .
[69] Stuart Allen. A Non-Type-Theoretic Definition of Martin-Löf's Types , 1987, LICS.
[70] Luca Cardelli,et al. On understanding types, data abstraction, and polymorphism , 1985, CSUR.
[71] A. Troelstra,et al. Constructivism in Mathematics: An Introduction , 1988 .
[72] Anne Salvesen. On specifications, subset types and interpretation of proposition in type theory , 1992, BIT Comput. Sci. Sect..
[73] Jan M. Smith. The Independence of Peano's Fourth Axiom from Martin-Lof's Type Theory Without Universes , 1988, J. Symb. Log..
[74] Rance Cleaveland,et al. Implementing mathematics with the Nuprl proof development system , 1986 .
[75] S. Feferman. Constructive Theories of Functions and Classes , 1979 .
[76] Rod M. Burstall,et al. HOPE: An experimental applicative language , 1980, LISP Conference.
[77] Robin Milner,et al. A Theory of Type Polymorphism in Programming , 1978, J. Comput. Syst. Sci..
[78] Bengt Nordström. Multilevel functions in Martin-Löf's type theory , 1985, Programs as Data Objects.
[79] S. Abramsky. The lazy lambda calculus , 1990 .
[80] D. Scott. Identity and existence in intuitionistic logic , 1979 .
[81] Martin C. Henson. Information Loss in the Programming Logic TK , 1990, Programming Concepts and Methods.
[82] David B. MacQueen. Using dependent types to express modular structure , 1986, POPL '86.
[83] Per Martin-Löuf. About Models for Intuitionistic Type Theories and the Notion of Definitional Equality , 1975 .
[84] de Ng Dick Bruijn,et al. A survey of the project Automath , 1980 .
[85] Per Martin-Löf,et al. Constructive mathematics and computer programming , 1984 .
[86] P. Martin-Löf. Notes on constructive mathematics , 1970 .
[87] Stephen Cole Kleene,et al. On the interpretation of intuitionistic number theory , 1945, Journal of Symbolic Logic.
[88] Bart Jacobs,et al. The inconsistency of higher order extensions of Martin-Löf's type theory , 1989, J. Philos. Log..
[89] de Ng Dick Bruijn. Automath A Language for Mathematics , 1973 .
[90] Ronald Harrop,et al. Concerning formulas of the types A→B ν C,A →(Ex)B(x) in intuitionistic formal systems , 1960, Journal of Symbolic Logic.
[91] Daniel Leivant,et al. The Expressiveness of Simple and Second-Order Type Structures , 1983, JACM.
[92] Simon J. Thompson,et al. Lawful Functions and Program Verification in Miranda , 1990, Sci. Comput. Program..