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  Chapter 1 Logical frameworks

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by Frank Pfenning, Second Readers Robert Harper, Don Sannella, Jan Smith
http://www.lb.cs.cmu.edu/Groups/fox/people/fp/papers/handbook00.pdf
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Citations

530 A framework for defining logics – Harper, Honsell, et al. - 1993
479 On the unity of logic – Girard - 1993
464 Introduction to HOL: A Theorem Proving Environment for Higher-Order Logic,” Cambridge – Gordon, Melham - 1993
444 Lambda calculi with types – Barendregt - 1991
399 Institutions: Abstract Model Theory for Specification and Programming – Goguen, Burstall - 1992
378 Untersuchungen über das logische Schliessen – Gentzen - 1934
356 The formulas-as-types notion of construction – Howard - 1980
261 Natural semantics – Kahn - 1987
225 Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem – Bruijn - 1972
223 Logic programming with focusing proofs in linear logic – Andreoli - 1992
213 Constructive mathematics and computer programming – Martin-Löf - 1979
188 A linear logical framework – Cervesato, Pfenning - 1996
178 A unification algorithm for typed -calculus – Huet - 1975
134 Rewriting logic as a logical and semantic framework – Oliet, Meseguer - 1993
131 Proving and applying program transformations expressed with second-order patterns – Huet, Lang - 1978
109 The undecidability of the secondorder unification problem – Goldfarb - 1981
106 An algorithm for testing conversion in type theory – Coquand - 1991
105 Introduction to Higher-Order Categorical Logic – Lambek, Scott - 1986
104 Primitive recursion for higher-order abstract syntax – Schürmann, Despeyroux, et al.
98 The ALF proof editor and its proof engine – Magnusson, Nordström - 1994
94 A Survey of the Project AUTOMATH – Bruijn - 1980
88 On the meanings of the logical constants and the justifications of the logical laws – Martin-Löf - 1985
80 A unification algorithm for typed λ-calculus – Huet - 1975
77 An Overview of ELAN – Borovansk´y, Kirchner, et al.
70 The semantics of reflected proof – Allen, Constable, et al. - 1990
66 Reflective metalogical frameworks – Basin, Clavel, et al. - 2004
62 Specifying theorem provers in a higher-order logic programming language – Felty, Miller - 1988
60 The mathematical language Automath: Its usage and some of its extensions – deBruijn
56 On equivalence and canonical forms in the LF type theory – Harper, Pfenning - 1999
50 Some properties of conversion – Church, Rosser - 1936
50 Specifying and Implementing Theorem Provers in a Higher-Order Logic Programming Language – Felty - 1989
45 The Coq proof assistant user's guide. Rapport Technique 154 – Dowek, Felty, et al.
41 Proof Theoretic Approach to Specification Languages – Chirimar - 1995
36 Grundlagen der Mathematik I – Hilbert, Bernays - 1934
36 The Implementation of ALF--A Proof Editor Based on MartinL"of 's Monomorphic Type Theory with Explicit Substitution – Magnusson - 1995
36 The Coq Proof Assistant User’s Guide – Dowek, Felty, et al. - 1993
33 A predicative analysis of structural recursion – Abel, Altenkirch - 2000
32 eine der arithmetischen nachgebildete Formelsprache des reinen Denkens – Frege
27 Investigating a Proof-Theoretic Meta-Language for Functional Programs – Hannan - 1991
25 Extensions and Applications of Higher-Order Unification – Elliott - 1990
25 The Church-Rosser property for fij-reduction in typed -calculi – Geuvers - 1992
24 Representing Logics in Type Theory – Gardner - 1992
22 A finitary version of the calculus of partial inductive definitions – Eriksson - 1991
22 Encoding a dependent-type -calculus in a logic programming language – Felty, Miller - 1990
22 A module system for a programming language based on the LF logical framework – Harper, Pfenning - 1992
19 The undecidability of unification in third order logic – Huet - 1973
18 Extended natural semantics – Hannan - 1993
18 Essays on Combinatory Logic, Lambda Calculus, and Formalism – Curry - 1980
16 Higher-order abstract syntax with induction in Coq – Despeyroux, Hirschowitz - 1994
16 Lambda calculus with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem – Bruijn - 1972