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Abstract: LEGO is a computer program for interactive typechecking in the Extended Calculus of Constructions and two of its subsystems. LEGO also supports the extension of these three systems with inductive types. These type systems can be viewed as logics, and as meta languages for expressing logics, and LEGO is intended to be used for interactively constructing proofs in mathematical theories presented in these logics. I have developed LEGO over six years, starting from an implementation of the Calculus ... (Update)
Cited by: More
On the role of type decorations in the Calculus of Inductive .. - Barras, Gregoire (Correct)
On The Subject Reduction Property For Algebraic Type Systems - Barthe, Mellies (1997) (Correct)
Type checking Dependent (Record) Types and Subtyping - Betarte (Correct)
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2.5: A Verified Typechecker - Pollack (1995) (Correct)
1.1: Checking Algorithms for Pure Type Systems - Jutting, McKinna, Pollack (1992) (Correct)
1.1: Some Lambda Calculus and Type Theory Formalized - McKinna, Pollack (1997) (Correct)
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0.2: Robotic courses based on LEGO - Johansson (2001) (Correct)
0.2: Lego and Related Work - Luo (1999) (Correct)
0.2: Using Graph Grammars and Genetic Algorithms to.. - Peysakhov.. (Correct)
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26: Lambda Calculi with Types - Barendregt - 1992
21: The LEGO proof development system: A user's manual (context) - Luo, Pollack - 1992
18: Implementing Mathematics with the Nuprl Proof Development System - Constable - 1986
BibTeX entry: (Update)
Robert Pollack. The Theory of LEGO:A Proof Checker for the Extended Calculus of Constructions. PhD thesis, Department of Computer Science, University of Edinburgh, April 1995. http://citeseer.ist.psu.edu/pollack94theory.html More
@phdthesis{ pollack94theory,
author = "Robert Pollack",
title = "The Theory of {LEGO}: {A} Proof Checker for the Extended Calculus of Constructions",
year = "1994",
url = "citeseer.ist.psu.edu/pollack94theory.html" }
Citations (may not include all citations):729 The Lambda Calculus: Its Syntax and Semantics (context) - Barendregt - 1984
505 Implementing Mathematics with the Nuprl Proof Development Sy.. - Constable - 1986 ACM
384 The Definition of Standard ML (context) - Milner, Tofte et al. - 1990 ACM
382 Lambda calculi with types - Barendregt - 1992
266 Information and Computation (context) - Coquand, Huet et al. - 1988 DBLP
187 HOL: A proof generating system for higher-order logic (context) - Gordon - 1988
143 The Coq proof assistant user's guide (context) - Felty, Huet et al. - 1993
96 A survey of the project AUTOMATH (context) - de Bruijn - 1980
96 An algorithm for testing conversion in type theory (context) - Coquand - 1991 ACM
95 An Extended Calculus of Constructions - Luo - 1990
84 Computation and Reasoning: A Type Theory for Computer Scienc.. (context) - Luo - 1994
75 Using typed lambda calculus to implement formal systems on a.. - Avron, Honsell et al. - 1992 ACM DBLP
73 Inductively defined types (context) - Coquand, Paulin-Mohring - 1990 ACM DBLP
71 Elf: A language for logic definition and verified metaprogra.. - Pfenning - 1989 ACM DBLP
61 Department of Computer Science (context) - Pym, Search et al. - 1990
60 Constructions: A higher order proof system for mechanizing m.. (context) - Coquand, Huet - 1985 DBLP
51 The Isabelle reference manual - Paulson - 1993
41 Information and Computation (context) - Jutting, Pure et al. - 1993 DBLP
38 Parallel reductions in -calculus (context) - Takahashi - 1989
38 Pure type systems with definitions - Severi, Poll - 1994 ACM DBLP
38 Scientific American (context) - Horgan, of - 1993
35 Formal Aspects of Computing (context) - Dybjer - 1994
33 Deliverables: a Categorical Approach to Program Development .. - McKinna - 1992
31 A notation for lambda terms I: A generalization of environme.. - Nadathur, Wilson - 1993
29 Finitary inductively presented logics - Feferman - 1988 ACM
29 A short description of another logical framework (context) - Augustsson, Coquand et al. - 1990
26 Set theory for verification: II (context) - Paulson - 1993
24 The constructive engine (context) - Huet - 1989
21 A formalization of the strong normalization proof for System.. - Altenkirch - 1993
21 an Smith. Programming in Martin-L of's Type Theory (context) - om, Petersson - 1990
20 Inductive Types and Strong Normalization (context) - Altenkirch - 1993
19 Representing Logics in Type Theory (context) - Gardner - 1992
18 North-Holland (context) - Heyting, An et al. - 1971
14 Theoretical Computer Science (context) - Harper, Pollack et al. - 1991 ACM
13 Inductive definitions in the system coq; rules and propertie.. (context) - Paulin-Mohring - 1993
12 Algorithm development in the calculus of constructions (context) - Mohring - 1986 DBLP
12 Pure Type Sytems formalized (context) - McKinna, Pollack - 1993
11 Dipartimento di Informatica (context) - Berardi, Constructive et al. - 1990
10 University of Stockholm (context) - of, of et al. - 1971
10 The independence of Peano's fourth axiom from Martin-L of's .. - Smith - 1988
8 Completing the rationals and metric spaces in LEGO (context) - Jones - 1993 ACM
7 Department of Mathematics and Computer Science (context) - Geuvers, Type et al. - 1993
7 Informal Proceedings of First Workshop on Logical Frameworks (context) - Pollack - 1990
7 Inductive sets and families in Martin-L of's type theory and.. (context) - Dybjer - 1991
6 Representing algebra in LEGO (context) - Bailey - 1993
6 DEC Systems Research Centre (context) - Cardelli, the et al. - 1991
6 Introduction to Generalised Type Sytems (context) - Barendregt - 1991
6 A problem of adequacy: Conservativity of calculus of constru.. (context) - Luo - 1990
6 University of Edinburgh (context) - Maharaj, LEGO et al. - 1990
5 A plea for weaker frameworks (context) - de Bruijn - 1991
5 Typechecking in Pure Type Sytems (context) - Pollack - 1992
4 Towards checking proof checkers (context) - Dowek, Boyer - 1993
4 See http://www (context) - Jones, Pollack et al. - 1994
4 See http://www (context) - Jones, Pollack et al. - 1993
4 A modular proof of strong normalization for the calculus of .. (context) - Mark-Jan - 1991
4 See http://www (context) - Jones, Maharaj et al. - 1993
3 Towards a foundation of a general proof theory (context) - Prawitz - 1973
3 Extending calculu construction with TypeType (context) - Huet, calculus et al. - 1987
2 Girard normalization proof in LEGO (context) - Berardi - 1990
2 Typed -calculus formalized: Church-Rosser and standardisatio.. (context) - McKinna - 1994
2 Haupsatz for the intuitionistic theory of iterated inductive.. (context) - of - 1971
2 the idea of a general proof theory (context) - Prawitz - 1974
2 Functional programming and verification with LEGO (context) - Wand - 1992
1 A variation on Lagrange's theorem in LEGO: Characterizing th.. (context) - Cizek - 1993
1 A model of CCS in LEGO (context) - Bradley - 1992
1 Simulating VDM in LEGO (context) - Coleman - 1990
1 Some comments on Pure Type Sytems (context) - Coquand - 1990
1 Aframework for defining logics (context) - Harper, Honsell et al. - 1992
1 Thesis proposal (context) - Pollack, of - 1988
1 A model of constructive set theory in LEGO (context) - Mendler - 1992
1 On implicit arguments - Hagiya, Toda - 1994 DBLP
1 LEGO proof development system: User's manual (context) - Robert - 1992
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.dcs.ed.ac.uk/~lego/html/papers.html): More
Proceedings Of The Second Workshop On Logical Frameworks.. - Huet, Plotkin, (eds.) (1991) (Correct)
Adequate encodings of proof systems for algebraic specifications .. - Mylonakis (Correct)
Inheritance of Proofs - Hofmann, Naraschewski, Steffen.. (1996) (Correct)
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