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Sequentiality by Linear Implication and Universal Quantification (1995)  (Make Corrections)  (5 citations)
Alessio Guglielmi



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Abstract: In this paper we address the issue of understanding sequential and parallel composition of agents from a logical viewpoint. We use the methodology of abstract logic programming in linear logic, where computations are proof searches in a suitable fragment of linear logic. While parallel composition has a straightforward treatment in this setting, sequential composition is much more difficult to be obtained. We define and study a logic programming language, SMR, in which the causality relation... (Update)

Context of citations to this paper:   More

.... programming languages [DM95, BDLM96] Topics in concurrency have often been addresses as well: see, for example, AP90, AP91] [BG96, Gug95, Gug96, Gug94], KY93] and [Mil93] See also the survey paper [Mil95] 7.3 Exercises 1. The LO logic programming language is based on...

...O one, are embodied in a translation with a clear declarative meaning. We briefly present the language SMR (Sequential Multiset Rewriting) [7] and give a translation of it into first order linear logic which is both correct and complete, thus fully relating the two formalisms....

Cited by:   More
A Purely Logical Account of Sequentiality in Proof Search - Bruscoli (2002)   (Correct)
A Calculus of Order and Interaction - Guglielmi (1999)   (Correct)
Sequent Calculus and the Specification of Computation - Lecture.. - Miller (1998)   (Correct)

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BibTeX entry:   (Update)

Alessio Guglielmi. Sequentiality by linear implication and universal quantification. In Jorg Desel, editor, Structures in Concurrency Theory, Workshops in Computing, pages 160--174. Springer-Verlag, 1995. http://citeseer.ist.psu.edu/guglielmi95sequentiality.html   More

@misc{ guglielmi95sequentiality,
  author = "A. Guglielmi",
  title = "Sequentiality by linear implication and universal quantification",
  text = "Alessio Guglielmi. Sequentiality by linear implication and universal quantification.
    In Jorg Desel, editor, Structures in Concurrency Theory, Workshops in Computing,
    pages 160--174. Springer-Verlag, 1995.",
  year = "1995",
  url = "citeseer.ist.psu.edu/guglielmi95sequentiality.html" }
Citations (may not include all citations):
982   Theoretical Computer Science (context) - Girard - 1987
474   Term rewriting systems - Klop - 1992
340   Uniform proofs as a foundation for logic programming (context) - Miller, Nadathur et al. - 1991
223   Linear Objects: Logical processes with built-in inheritance - Andreoli, Pareschi - 1991
142   Logic programming with focusing proofs in linear logic - Andreoli - 1992
81   A multiple-conclusion meta-logic - Miller - 1994
65   volume 103 of Studies in Logic and the Foundations of Mathem.. (context) - Barendregt, Calculus - 1984
59   The Gamma model and its discipline of programming (context) - Banatre, Le M'etayer - 1990
10   Concurrency and plan generation in a logic programming langu.. - Guglielmi - 1994
8   volume 1 of Studies in Proof Theory (context) - Girard, Logical et al. - 1987
4   Distributed logic: A theory of distributed programming in lo.. (context) - Monteiro - 1986
4   Distributed logic: A logical system for specifying concurren.. (context) - Monteiro - 1981
3   ese de Doctorat, sp (context) - Retor'e, S'equents et al. - 1993
2   Available by anonymous ftp from cma (context) - Retor'e - 1993

Documents on the same site (http://www.di.unipi.it/~guglielm/papers.html):
A Linear Logic View of Gamma Style Computations as Proof Searches - Bruscoli   (Correct)
Concurrency and Plan Generation in a Logic Programming Language.. - Guglielmi   (Correct)

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