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Exploiting spatial relations for grammar-based specification of multidimensional languages

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Abstract

As opposed to textual programming languages, multidimensional languages compiler construction paradigms lack standardization. To this aim, in this paper we present the spatial grammar (SG) formalism, a grammar model for multidimensional languages which has string-like productions containing more general spatial relations other than string concatenation, and we provide mapping rules to translate an SG specification into a translation schema. In this way, the SG formalism inherits and extends to the multidimensional context concepts and techniques of standard compiler generation tools like YACC.

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  • 05 June 2023

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Acknowledgements

We thank the anonymous reviewers and the journal editor for their useful comments and suggestions.

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Authors and Affiliations

  1. Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, L’Aquila, Italy

    Giuseppe Della Penna, Sergio Orefice & Andrea D’Angelo

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  1. Giuseppe Della Penna
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  2. Sergio Orefice
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  3. Andrea D’Angelo
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Correspondence to Giuseppe Della Penna.

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Della Penna, G., Orefice, S. & D’Angelo, A. Exploiting spatial relations for grammar-based specification of multidimensional languages. Knowl Inf Syst 65, 3995–4020 (2023). https://doi.org/10.1007/s10115-023-01879-6

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