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Lexical Scoping As Universal Quantification (1989)  (Make Corrections)  (53 citations)
Dale Miller
Proceedings of the Sixth International Conference on Logic Programming



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Abstract: : A universally quantified goal can be interpreted intensionally, that is, the goal 8x:G(x) succeeds if for some new constant c, the goal G(c) succeeds. The constant c is, in a sense, given a scope: it is introduced to solve this goal and is "discharged" after the goal succeeds or fails. This interpretation is similar to the interpretation of implicational goals: the goal D oe G should succeed if when D is assumed, the goal G succeeds. The assumption D is discharged after G succeeds or fails.... (Update)

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...applications to this particular domain of computer science. The proof search paradigm comes equipped with notions of abstract data types [22] and higher order predicate abstractions [28] all features that we shall draw upon in this paper. Given that these abstraction mechanism...

.... [15] nonces in security protocols [1] reference locations in imperative programming [2, 16] and constructors hidden within abstract data types [12]. Eigenvariables also provide an essential : y : B[y=x] C : r x:B; C rL : y : B[y=x]...

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A Modal Extension of Logic Programming: Modularity.. - Baldoni, Giordano.. (1998)   (Correct)

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35:   Uniform proofs as a foundation for logic programming (context) - Miller, Nadathur et al. - 1991
32:   Miller D.: A Logical Analysis of Modules in Logic Programming, Journal of Logic Programming, 1989, pp. 79 19
30:   Logic programming in a fragment of intuitionistic linear logic - Hodas, Miller - 1994

BibTeX entry:   (Update)

D.A. Miller. Lexical scoping as universal quantification. In G. Levi and M. Martelli, editors, 6th Int. Conf. Logic Programming, pages 268--283, MIT Press, 1989. http://citeseer.ist.psu.edu/miller89lexical.html   More

@inproceedings{ miller89lexical,
    author = "Miller, D.",
    title = "Lexical Scoping as Universal Quantification",
    booktitle = "Proceedings of the Sixth International Conference on Logic Programming",
    publisher = "The MIT Press",
    address = "Lisbon",
    editor = "Levi, Giorgio and Martelli, Maurizio",
    pages = "268--283",
    year = "1989",
    url = "citeseer.ist.psu.edu/miller89lexical.html" }
Citations (may not include all citations):
340   Uniform Proofs as a Foundations for Logic Programming (context) - Miller, Nadathur et al.
149   A Logical Analysis of Modules in Logic Programming (context) - Miller - 1989
112   The art of Prolog: advanced programming techniques (context) - Sterling, Shapiro - 1986
105   Making Prolog More Expressive (context) - Lloyd, Topor - 1984
101   Higher-order Logic Programming - Miller, Nadathur - 1986
68   Unification under a mixed prefix (context) - Miller - 1988
58   Contextual Logic Programming (context) - Monteiro, Porto - 1989
55   Clausal Intuitionistic Logic (context) - McCarty - 1988
39   A Proof-Theoretic Approach to Logic Programming (context) - Hallnas, Schroeder-Heister
31   A Higher-Order Logic as the Basis for Logic Programming - Nadathur - 1987
30   A Calculus for the Construction of Modular Prolog Programs (context) - Sannella, Wallen - 1987
14   SEKI Report SR (context) - Smolka, Version et al. - 1987
14   Clausal Intuitionistic Logic II (context) - McCarty - 1988
6   Local Definitions with Static Scope Rules in Logic Programmi.. (context) - Giordano, Martelli et al. - 1988
3   Prolog: An Extension to Prolog with Hypothetical Implication.. (context) - Gabbay, Reyle - 1984
3   Fifth International Conference on Logic Programming (context) - Nadathur, Miller et al. - 1988
3   a Common Lisp implementation of Prolog (context) - Elliott, Pfenning - 1989
3   Solutions to -term equations under a mixed prefix (context) - Miller - 1989
1   Prolog and Quintus Prolog implementation of Prolog (context) - Miller, Nadathur et al. - 1988
1   The Foundation of a Generic Theorem Prover (context) - Pauslon



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Documents on the same site (ftp://ftp.cis.upenn.edu/pub/papers/miller/recentpapers.html):   More
Some Uses of Higher-Order Logic in Computational Linguistics - Miller, Nadathur (1986)   (Correct)
Foundational Aspects of Syntax - Miller, Palamidessi (1999)   (Correct)
Linear Logic As A Framework For Specifying Sequent Calculus - Miller, PIMENTEL   (Correct)

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