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Approximating the Semantics of Logic Programs by Recurrent Neural Networks (1999)  (Make Corrections)  (2 citations)
Steffen Hölldobler, Hans-Peter Störr



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Abstract: In [8] we have shown how to construct a 3--layer recurrent neural network that computes the iteration of the meaning function TP of a given propositional logic program, what corresponds to the computation of the semantics of the program. In this article we define a notion of approximation for interpretations and prove that there exists a 3--layer feed forward neural network that approximates the calculation of TP for a given (first order) recurrent logic program with an injective level mapping... (Update)

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BibTeX entry:   (Update)

Steffen H olldobler, Yvonne Kalinke, and Hans-Peter St orr. Approximating the semantics of logic programs by recurrent neural networks. Applied Intelligence, 11:45--58, 1999. http://citeseer.ist.psu.edu/olldobler99approximating.html   More

@misc{ olldobler99approximating,
  author = "S. olldobler and Y. Kalinke and H. orr",
  title = "Approximating the semantics of logic programs by recurrent neural networks",
  text = "Steffen H olldobler, Yvonne Kalinke, and Hans-Peter St orr. Approximating
    the semantics of logic programs by recurrent neural networks. Applied Intelligence,
    11:45--58, 1999.",
  year = "1999",
  url = "citeseer.ist.psu.edu/olldobler99approximating.html" }
Citations (may not include all citations):
1838   Foundations of Logic Programming (context) - Lloyd - 1987  ACM
759   Negation as failure (context) - Clark - 1977  ACM   DBLP
623   Multilayer feedforward networks are universal approximators (context) - Hornik, Stinchcombe et al. - 1989  ACM
156   SATCHMO: A Theorem Prover Implemented in Prolog (context) - Manthey, Bry - 1988  DBLP
144   Contributions to the Theory of Logic Programming (context) - Apt, Van Emden - 1982  ACM   DBLP
142   the Proper Treatment of Connectionism (context) - Smolensky - 1988
50   Metric methods -- three examples and a theorem - Fitting - 1994
50   General Topology (context) - Willard - 1970
38   Scott: A model--guided theorem prover - Slaney - 1993
32   Distributed Representations and Nested Compositional Structu.. - Plate - 1994  ACM
24   Model Generation Theorem Provers on a Parallel Inference Mac.. (context) - Fujita, Hasegawa et al. - 1992  DBLP
20   Towards a massively parallel computational model for logic p.. (context) - Holldobler, Kalinke - 1994
20   International Computer Science Institute (context) - Sperduti, Technical - 1992
9   Logic programming and inductive learning in artificial neura.. (context) - Garcez, Zaverucha et al. - 1997
6   Generating Rational Models (context) - --E - 1996
4   Hove and London (context) - Johnson--Laird, Byrne et al. - 1991
4   the approximate realization of continuous mappingsby neural .. (context) - --I, On - 1989

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A Recursive Neural Network for Reflexive Reasoning - Hölldobler, Kalinke, Wunderlich   (Correct)
Descriptions in the Fluent Calculus - Hölldobler   (Correct)
Massively Parallel Reasoning - Bornscheuer, Hölldobler, Kalinke.. (1998)   (Correct)

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