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Why Chomsky Normal Form: A Pedagogical Note

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Decision Making Under Uncertainty and Constraints

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 217))

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Abstract

To simplify the design of compilers, Noam Chomsky proposed to first transform a description of a programming language—which is usually given in the form of a context-free grammar—into a simplified “normal” form. A natural question is: why this specific normal form? In this paper, we provide an answer to this question.

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Reference

  1. Sipser, M.: Introduction to the Theory of Computation. Cengage Learning, Boston, Massachusetts (2012)

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Acknowledgements

This work was supported in part by the National Science Foundation grants 1623190 (A Model of Change for Preparing a New Generation for Professional Practice in Computer Science), and HRD-1834620 and HRD2034030 (CAHSI Includes).

It was also supported by the program of the development of the Scientific-Educational Mathematical Center of Volga Federal District No. 075-02-2020-1478.

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Authors and Affiliations

  1. Department of Teacher Education, University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA

    Olga Kosheleva

  2. Department of Computer Science, University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA

    Vladik Kreinovich

Authors
  1. Olga Kosheleva
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  2. Vladik Kreinovich
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Correspondence to Vladik Kreinovich .

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Editors and Affiliations

  1. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Martine Ceberio

  2. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Vladik Kreinovich

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Kosheleva, O., Kreinovich, V. (2023). Why Chomsky Normal Form: A Pedagogical Note. In: Ceberio, M., Kreinovich, V. (eds) Decision Making Under Uncertainty and Constraints. Studies in Systems, Decision and Control, vol 217. Springer, Cham. https://doi.org/10.1007/978-3-031-16415-6_10

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