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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

                Contributors
                Conference
                July 2000
                July 2000
                : 1-9
                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/
                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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