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Logic Programming with Focusing Proofs in Linear Logic (1992) [220 citations — 7 self]

by Jean-marc Andreoli
Journal of Logic and Computation
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Abstract:

The deep symmetry of Linear Logic [18] makes it suitable for providing abstract models of computation, free from implementation details which are, by nature, oriented and non symmetrical. I propose here one such model, in the area of Logic Programming, where the basic computational principle is Computation = Proof search.

Citations

745 Generative communication in Linda – Gelernter - 1985
469 Linear logic – Girard - 1987
380 G.: The chemical abstract machine – Berry, Boudol - 1992
378 Conditional rewriting logic as a unified model of concurrency. Theoretical Computer Science, 96(1):73–155 – Meseguer - 1992
267 Proofs and Types – Girard, Taylor, et al. - 1989
258 Logic Programming in a Fragment of Intuitionistic Linear Logic – Hodas, Miller - 1994
257 The Family of Concurrent Logic Programming Languages – Shapiro - 1989
246 Computational interpretations of linear logic – Abramsky - 1993
195 Linear objects: Logical processes with built-in inheritance – Andreoli, Pareschi - 1990
136 Interaction nets – Lafont - 1990
108 Guarded Horn Clauses – Ueda - 1985
107 PARLOG: Parallel Programming in Logic – Clark - 1986
69 The Concurrent Language Shared Prolog – Brogi, Ciancarini
68 A.Porto. A Language for Contextual Logic Programming – Monteiro - 1993
64 From Petri nets to Linear Logic – Meseguer, Marti-Oliet - 1991
60 Blackboard Systems – Nii
57 A parallel machine for multiset transformation and its programming style – Banatre, Coutant, et al. - 1988
51 Actors: A conceptual foundation for concurrent object-oriented progranmaing – Agha - 1987
50 Object Oriented Programming in Concurrent Prolog – Shapiro - 1983
44 Communication as fair distribution of knowledge – Andreoli, Pareschi - 1991
31 Using Tuple Space communication in distributed object-oriented languages – Matsuoka, Kawai - 1988
23 Logical objects – Conery - 1988
16 Relating Petri nets to formulae of linear logic – Brown - 1989
5 Proposition pour une synth`ese des paradigmes de la programmation logique et de la programmation par objets – Andreoli - 1990
4 Programming in Parlog – Conlon - 1989
3 and behold! concurrent structured processes – LO - 1990