A Framework for Forming, Modifying, and Using Multimedia Concepts in Memory. Part I. Mathematical Formulation.

Abstract

A theoretical framework for the structures and processes of memory is presented. The model is based on three main notions: memory, concepts, and processors. Part I puts forth the notions in mathematical terms. (Part II will give an interpretation in psychological terms. Memory is viewed as a set of locations, and locations have values. An evaluation function attaches a value to a location. The basic unit in memory is the concept. Concepts have a hierarchical structure. They are related by the relation 'is a subconcept of'. At a given time, each concept has a set of locations assigned to it. The assignment is made by an allocation function. A state of memory is defined as a set of concepts, the relation 'is a subconcept of', an allocation function, and an evaluation function. Processors change the state of memory and provide interaction with the environment (input/output). Each processor operates with a limited number of concepts at a given time. The action of a processor is determined by concepts, mainly by the values of locations allocated to a given concept and by the input stimulus from the environment. For a given processor, the concepts which determine the action of the processor will be called the excutable concepts for the processor.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1982
Accession Number
ADA122580

Entities

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  • Andrzej Ehrenfeucht
  • Patricia Baggett

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  • University of Colorado Boulder

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