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A Note on the Relationships between Logic Programs and Neural Networks

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4th Irish Workshop on Formal Methods (IWFM)

Formal Methods

5th-6th July 2000

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      Abstract

      Several recent publications have exhibited relationships between the theories of logic programming and of neural networks. We consider a general approach to representing normal logic programs via feedforward neural networks. We show that the immediate consequence operator associated with each logic program, which can be understood as implicitly determining its declarative semantics, can be approximated by 3-layer feedforward neural networks arbitrarily well in a certain measure-theoretic sense. If this operator is continuous in a topology known as the atomic topology, then the approximation is uniform in all points.

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      Multilayer feedforward networks are universal approximators

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        On the approximate realization of continuous mappings by neural networks

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          Metric Methods Three Examples and a Theorem

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            Author and article information

            Affiliations
            Department of Mathematics, University College, Cork, Ireland

            Web: http://maths.ucc.ie/˜pascal/
            Department of Mathematics, University College, Cork, Ireland

            Web: http://maths.ucc.ie/˜seda/
            Contributors
            Conference
            July 2000
            July 2000
            : 1-9
            10.14236/ewic/IWFM2000.2
            © Pascal Hitzler et al. Published by BCS Learning and Development Ltd. 4th Irish Workshop on Formal Methods

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            4th Irish Workshop on Formal Methods
            IWFM
            4
            Maynooth, Ireland
            5th-6th July 2000
            Electronic Workshops in Computing (eWiC)
            Formal Methods
            Product
            Product Information: 1477-9358 BCS Learning & Development
            Self URI (journal page): https://ewic.bcs.org/
            Categories
            Electronic Workshops in Computing

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