暂无分享,去创建一个
[1] Conor McBride. Ornamental Algebras, Algebraic Ornaments , 2014 .
[2] Vincent Siles. Investigation on the typing of equality in type systems. (Etude sur le typage de l'égalité dans les systèmes de types) , 2010 .
[3] Robert Harper,et al. A type-theoretic interpretation of standard ML , 2000, Proof, Language, and Interaction.
[4] Michael Hedberg,et al. A coherence theorem for Martin-Löf's type theory , 1998, Journal of Functional Programming.
[5] Erik Poll,et al. Algebra of Programming by Richard Bird and Oege de Moor, Prentice Hall, 1996 (dated 1997). , 1999 .
[6] Johan Jeuring,et al. Generic programming with fixed points for mutually recursive datatypes , 2009, ICFP.
[7] Eduardo Giménez,et al. Codifying Guarded Definitions with Recursive Schemes , 1994, TYPES.
[8] Christine Paulin-Mohring,et al. The coq proof assistant reference manual , 2000 .
[9] Stephanie Weirich,et al. Arity-generic datatype-generic programming , 2010, PLPV '10.
[10] Peter Dybjer,et al. Representing Inductively Defined Sets by Wellorderings in Martin-Löf's Type Theory , 1997, Theor. Comput. Sci..
[11] U. Norell,et al. Towards a practical programming language based on dependent type theory , 2007 .
[12] J. Lambek. A fixpoint theorem for complete categories , 1968 .
[13] R. Seely,et al. Locally cartesian closed categories and type theory , 1984, Mathematical Proceedings of the Cambridge Philosophical Society.
[14] Conor McBride,et al. A Few Constructions on Constructors , 2004, TYPES.
[15] Steven Awodey,et al. Inductive Types in Homotopy Type Theory , 2012, 2012 27th Annual IEEE Symposium on Logic in Computer Science.
[16] Peter Dybjer,et al. Universes for Generic Programs and Proofs in Dependent Type Theory , 2003, Nord. J. Comput..
[17] Conor McBride,et al. Inductive Families Need Not Store Their Indices , 2003, TYPES.
[18] Peter Morris,et al. A Universe of Strictly Positive Families , 2009, Int. J. Found. Comput. Sci..
[19] E. Wigner. The Unreasonable Effectiveness of Mathematics in the Natural Sciences (reprint) , 1960 .
[20] Jean-Philippe Bernardy,et al. Realizability and Parametricity in Pure Type Systems , 2011, FoSSaCS.
[21] Conor McBride,et al. Dependently typed functional programs and their proofs , 2000 .
[22] Conor McBride,et al. Elimination with a Motive , 2000, TYPES.
[23] Gérard P. Huet,et al. The Zipper , 1997, Journal of Functional Programming.
[24] Bart Jacobs,et al. Structural Induction and Coinduction in a Fibrational Setting , 1998, Inf. Comput..
[25] Joyce L. Vedral,et al. Functional Programming Languages and Computer Architecture , 1989, Lecture Notes in Computer Science.
[26] Bruno C. d. S. Oliveira,et al. Comparing libraries for generic programming in haskell , 2008, Haskell '08.
[27] Fredrik Lindblad,et al. A Tool for Automated Theorem Proving in Agda , 2004, TYPES.
[28] Martin Hofmann,et al. The groupoid model refutes uniqueness of identity proofs , 1994, Proceedings Ninth Annual IEEE Symposium on Logic in Computer Science.
[29] Peter Dybjer,et al. Internal Type Theory , 1995, TYPES.
[30] David Walker,et al. A Concurrent Logical Framework: The Propositional Fragment , 2003, TYPES.
[31] Peter Hancock,et al. Programming interfaces and basic topology , 2009, Ann. Pure Appl. Log..
[32] Robin O. Gandy,et al. On the axiom of extensionality – Part I , 1956, Journal of Symbolic Logic.
[33] Thorsten Altenkirch,et al. Containers: Constructing strictly positive types , 2005, Theor. Comput. Sci..
[34] Enrico Tassi,et al. A Small Scale Reflection Extension for the Coq system , 2008 .
[35] Erik Palmgren,et al. Wellfounded trees in categories , 2000, Ann. Pure Appl. Log..
[36] S. Awodey,et al. Homotopy theoretic models of identity types , 2007, Mathematical Proceedings of the Cambridge Philosophical Society.
[37] Peter Dybjer,et al. Inductive families , 2005, Formal Aspects of Computing.
[38] Matthieu Sozeau. Equations: A Dependent Pattern-Matching Compiler , 2010, ITP.
[39] Gang Chen,et al. Guarded recursive datatype constructors , 2003, POPL '03.
[40] Herman Geuvers,et al. Induction Is Not Derivable in Second Order Dependent Type Theory , 2001, TLCA.
[41] Robin Milner,et al. A Theory of Type Polymorphism in Programming , 1978, J. Comput. Syst. Sci..
[42] Christine C. Paulin. Extraction de programmes dans le calcul des constructions , 1989 .
[43] Robert Atkey,et al. When Is a Type Refinement an Inductive Type? , 2011, FoSSaCS.
[44] Richard S. Bird,et al. Algebra of programming , 1997, Prentice Hall International series in computer science.
[45] Andrew M. Pitts,et al. Polymorphism is Set Theoretic, Constructively , 1987, Category Theory and Computer Science.
[46] Gordon D. Plotkin,et al. The category-theoretic solution of recursive domain equations , 1977, 18th Annual Symposium on Foundations of Computer Science (sfcs 1977).
[47] Michael Shulman,et al. Framed bicategories and monoidal fibrations , 2007, 0706.1286.
[48] Mads Tofte,et al. A Type-Theoretic Interpretation of Standard ML , 2000 .
[49] John C. Reynolds,et al. Polymorphism is not Set-Theoretic , 1984, Semantics of Data Types.
[50] Alexandre Miquel. The Implicit Calculus of Constructions , 2001, TLCA.
[51] Jean-Philippe Bernardy,et al. A Theory of Parametric Polymorphism and an Application ; A formalisation of parametric polymorphism within and about dependent type-theory, and an application to property-based testing , 2011 .
[52] Peter Dybjer,et al. The Biequivalence of Locally Cartesian Closed Categories and Martin-Löf Type Theories , 2014, Math. Struct. Comput. Sci..
[53] Martin Hofmann,et al. On the Interpretation of Type Theory in Locally Cartesian Closed Categories , 1994, CSL.
[54] Gordon D. Plotkin,et al. Abstract syntax and variable binding , 1999, Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158).
[55] Erik Palmgren,et al. On Universes in Type Theory , 2011 .
[56] James Cheney,et al. First-Class Phantom Types , 2003 .
[57] Edsko de Vries,et al. Formal polytypic programs and proofs , 2010, Journal of Functional Programming.
[58] Patricia Johann,et al. Indexed Induction and Coinduction, Fibrationally , 2011, CALCO.
[59] P. Martin-Löf. An Intuitionistic Theory of Types: Predicative Part , 1975 .
[60] Pierre-Yves Strub,et al. Coq Modulo Theory , 2010, CSL.
[61] Richard Garner. On the strength of dependent products in the type theory of Martin-Löf , 2009, Ann. Pure Appl. Log..
[62] Neelakantan R. Krishnaswami. Focusing on pattern matching , 2009, POPL '09.
[63] Peter Morris,et al. The gentle art of levitation , 2010, ICFP '10.
[64] F. William Lawvere,et al. Adjointness in Foundations , 1969 .
[65] Harald Ruess,et al. Polytypic Proof Construction , 1999, TPHOLs.
[66] Chung-Kil Hur,et al. Strongly Typed Term Representations in Coq , 2011, Journal of Automated Reasoning.
[67] P. Martin-Löf. On the meanings of the logical constants and the justi cations of the logical laws , 1996 .
[68] Robert Atkey,et al. Refining Inductive Types , 2012, Log. Methods Comput. Sci..
[69] Jean-Philippe Bernardy,et al. Type-theory in color , 2013, ICFP.
[70] N. Gambino,et al. Polynomial functors and polynomial monads , 2009, Mathematical Proceedings of the Cambridge Philosophical Society.
[71] Andrew D. Gordon,et al. Refinement Types for Secure Implementations , 2008, 2008 21st IEEE Computer Security Foundations Symposium.
[72] Conor McBride,et al. A Categorical Treatment of Ornaments , 2012, 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science.
[73] Jeremy Gibbons,et al. Modularising inductive families , 2011, WGP@ICFP.
[74] Simon L. Peyton Jones,et al. Complete and decidable type inference for GADTs , 2009, ICFP.
[75] Karl Crary Carnegie. Explicit Contexts in LF , 2008 .
[76] Conor McBride,et al. Transporting functions across ornaments , 2014, J. Funct. Program..
[77] Per Martin-Löf,et al. Constructive mathematics and computer programming , 1984 .
[78] Guy L. Steele,et al. Growing a Language , 1999, High. Order Symb. Comput..
[79] P. Medawar. A view from the left , 1984, Nature.
[80] Frank Pfenning,et al. Refinement types for ML , 1991, PLDI '91.
[81] Robert Harper,et al. 2-Dimensional Directed Type Theory , 2011, MFPS.
[82] Edwin Brady,et al. Scrapping your inefficient engine: using partial evaluation to improve domain-specific language implementation , 2010, ICFP '10.
[83] Mogens Nielsen,et al. Foundations of Software Science and Computation Structures , 2002, Lecture Notes in Computer Science.
[84] Thierry Coquand,et al. Pattern Matching with Dependent Types , 1992 .
[85] Juan Chen,et al. Secure distributed programming with value-dependent types , 2011, Journal of Functional Programming.
[86] Clément Fumex. Induction and coinduction schemes in category theory , 2012 .