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Abstract: This paper addresses the problem of integrating metavariables with tactic--based interactive theorem proving systems. We show how to take essentially any logic and construct from it a class of tactic proofs that include tactic steps and metavariables. These tactic proofs have the following properties: tactics can instantiate metavariables; metavariables interact properly with substitution and variable binding; proofs can be understood as formal arguments; proofs can be replayed; a... (Update)
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BibTeX entry: (Update)
@misc{ howe-metavariables,
author = "Douglas J. Howe",
title = "Metavariables and Tactic Proofs",
url = "citeseer.ist.psu.edu/327624.html" }
Citations (may not include all citations):505 Implementing Mathematics with the Nuprl Proof Development Sy.. - Constable - 1986
150 Edinburgh LCF: A Mechanized Logic of Computation (context) - Gordon, Milner et al. - 1979
145 Isabelle: The next 700 theorem provers (context) - Paulson - 1990
53 The semantics of reflected proof - Allen, Constable et al. - 1990
46 Specifying theorem provers in a higher-order logic programmi.. (context) - Felty, Miller - 1988
41 Computational metatheory in Nuprl (context) - Howe - 1988
37 Tactical theorem proving in program verification (context) - Heisel, Reif et al. - 1990
32 A proof generating system for higher-order logic (context) - Gordon - 1989
26 Hereditary Harrop formulas and uniform proof systems (context) - Miller, Nadathur et al. - 1987
21 Department of Computer Science (context) - Luo, Pollack et al. - 1989
19 Implementing metamathematics as an approach to automatic the.. (context) - Constable, Howe - 1990
19 Automating Reasoning in an Implementation of Constructive Ty.. (context) - Howe - 1988
13 A man-machine theorem-proving system (context) - Bledsoe, Bruell - 1974
9 Implementing number theory: An experiment with Nuprl (context) - Howe - 1987
2 To appear as an INRIA technical report (context) - Dowek, Felty et al. - 1991
Documents on the same site (ftp://ftp.research.bell-labs.com/dist/howe/): More
A Type Annotation Scheme for Nuprl - Douglas Howe Bell (1998) (Correct)
Proving Congruence of Bisimulation in Functional Programming.. - Howe (1996) (Correct)
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