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Abstract: We show how explicit control strategies can be represented in a declarative (classical) metatheory as first order formulae (proof plans). Proof plans can be reasoned about (by metatheoretic theorem proving) to modify the search strategy and "executed" (by suitably "interpreting" them in terms of the deductive machinery implementation code) to prove a theorem in the object theory. The resulting architecture is uniform as it becomes possible to define a tower of metatheories, each using the... (Update)
Context of citations to this paper: More
...used there. The formula in figure 4, analogously to all the other similar representations of object level proofs, is a theorem of MT [GT90] Notice that no confusion between metalevel and object level variables arises as they are defined in two different theories. In the...
...metatheories. MT: the metatheory MT has been defined in [GT91a] In MT we have quotation mark names and structural descriptive names [GT90] of object level theorems. Intuitively, a structural descriptive name of a theorem describes the proof of a theorem. In other words we...
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10: Prolegomena to a theory of mechanized formal reasoning (context) - Weyhrauch - 1980
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BibTeX entry: (Update)
F. Giunchiglia and P. Traverso. Plan formation and execution in an uniform architecture of declarative metatheories. In M. Bruynooghe, editor, Proc. Workshop on Meta-Programming in Logic. MIT Press, 1990. Also available as IRST Technical Report 9003-12. http://citeseer.ist.psu.edu/traverso90plan.html More
@misc{ giunchiglia90plan,
author = "F. Giunchiglia and P. Traverso",
title = "Plan formation and execution in an uniform architecture of declarative
metatheories",
text = "F. Giunchiglia and P. Traverso. Plan formation and execution in an uniform
architecture of declarative metatheories. In M. Bruynooghe, editor, Proc.
Workshop on Meta-Programming in Logic. MIT Press, 1990. Also available as
IRST Technical Report 9003-12.",
year = "1990",
url = "citeseer.ist.psu.edu/traverso90plan.html" }
Citations (may not include all citations):505 Implementing Mathematics with the NuPRL Proof Development Sy.. - Constable, Allen et al. - 1986
440 The Art of Prolog (context) - Sterling, Shapiro - 1986
226 The Use of Explicit Plans to Guide Inductive Proofs - Bundy - 1988
157 Edinburgh LCF - A mechanised logic of computation (context) - Gordon, Milner et al. - 1979
121 Prolegomena to a theory of Mechanized Formal Reasoning (context) - Weyhrauch - 1980
71 Metafunctions: proving them correct and using them efficient.. (context) - Boyer, Moore - 1981
41 Computational metatheory in Nuprl (context) - Howe - 1988
39 Oxford University Press (context) - Tarski, Semantics - 1956
34 Using meta-level inference for selective application of mult.. (context) - Bundy, Welham - 1981
33 Reflection in constructive and non-constructive automated re.. (context) - Giunchiglia, Smaill
24 A Rational Reconstruction and Extension of Recursion Analysi.. - Bundy, van Harmelen et al. - 1989
23 Der Wahrheitsbegriff in den formalisierten Sprachen (context) - Tarski - 1936
15 Metamathematical extensibility for theorem verifiers and pro.. (context) - Davis, Schwartz - 1979
6 Proving properties of logic programs: A progress report (context) - Bundy, Sannella et al. - 1988
5 Formalized Metatheory in Type Theory (context) - Knoblock, Constable - 1986
3 GETFOL Manual - version 1 release (context) - Giunchiglia, Traverso
1 Formalizing reasoning systems and introducing derived infere.. (context) - Weyhrauch, of et al. - 1982
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://afrodite.itc.it:1024/research-topics/getfol.html):
Multilanguage First Order Theories of Propositional Attitudes - Giunchiglia, Serafini (1991) (Correct)
Multilanguage Systems - Fausto Giunchiglia Mechanized (1991) (Correct)
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