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Abstract: . Higher-order representation techniques allow elegant encodings of logics and programming languages in the logical framework LF, but unfortunately they are fundamentally incompatible with induction principles needed to reason about them. In this paper we develop a metalogic M2 which allows inductive reasoning over LF encodings, and describe its implementation in Twelf, a special-purpose automated theorem prover for properties of logics and programming languages. We have used Twelf to... (Update)
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...of a type is its proof. The meta logic M 2 is a conservative extension of the the meta logic M 2 which we have developed in previous work [SP98] In essence, if we restrict M 2 to the closed world assumption we obtain M 2 . M 2 is implemented in the Twelf system [PS99] We...
.... technical contribution of the paper consists the formation of the CPS transform for ML ; 0 and a formalization of the transform in Twelf [13]. The rest of paper is organized as follows. We introduce a language ML ; 0 in Section 2, which essentially extends the simply typed...
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BibTeX entry: (Update)
Carsten Schurmann and Frank Pfenning. Automated theorem proving in a simple meta-logic for LF. In Claude Kirchner and H'el`ene Kirchner, editors, Proceedings of the 15th International Conference on Automated Deduction (CADE-15), pages 286--300, Lindau, Germany, July 1998. Springer-Verlag LNCS 1421. http://citeseer.ist.psu.edu/article/schurmann98automated.html More
@inproceedings{ schurmann98automated,
author = "Carsten Schurmann and Frank Pfenning",
title = "Automated Theorem Proving in a Simple Meta-Logic for {LF}",
booktitle = "Conference on Automated Deduction",
pages = "286-300",
year = "1998",
url = "citeseer.ist.psu.edu/article/schurmann98automated.html" }
Citations (may not include all citations):434 A framework for defining logics - Harper, Honsell et al. - 1993 ACM DBLP
96 An algorithm for testing conversion in type theory (context) - Coquand - 1991 ACM
90 A linear logical framework - Cervesato, Pfenning - 1996 ACM DBLP
66 Primitive recursion for higher-order abstract syntax (context) - Despeyroux, Pfenning et al. - 1997 ACM DBLP
65 The Implementation of ALF---A Proof Editor Based on Martin-L.. - Magnusson - 1995
63 Elf: A meta-language for deductive systems (context) - Pfenning - 1994
56 Unification and anti-unification in the Calculus of Construc.. - Pfenning - 1991 DBLP
48 A logic for reasoning with higher-order abstract syntax: An .. (context) - McDowell, Miller - 1997
47 Natural semantics and some of its metatheory in Elf - Michaylov, Pfenning - 1991
32 The practice of logical frameworks - Pfenning - 1996 ACM DBLP
32 Implementing the meta-theory of deductive systems - Pfenning, Rohwedder - 1992 ACM DBLP
27 Mode and termination checking for higher-order logic program.. - Rohwedder, Pfenning - 1996 ACM DBLP
22 Rules of definitional reflection (context) - Schroeder-Heister - 1993 DBLP
16 Reasoning in a logic with definitions and induction (context) - McDowell - 1997 ACM
10 Verifying the meta-theory of deductive systems (context) - Rohwedder - 1994
7 Automated theorem proving in a simple meta-logic for LF (context) - Schurmann, Pfenning - 1998 ACM DBLP
3 Pi: An interactive derivation editor for the calculus of par.. (context) - Eriksson - 1994
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.cs.cmu.edu/~twelf/elf-bib.html):
Efficient Resource Management for Linear Logic Proof Search - Cervesato, Hodas, Pfenning (1997) (Correct)
A Linear Logical Framework - Cervesato, Pfenning (1996) (Correct)
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