In computable mathematics, there are known definitions of computable numbers, computable metric spaces, computable compact sets, and computable functions. A traditional definition of a computable function, however, covers only continuous functions. In many applications (e.g., in phase transitions), physical phenomena are described by discontinuous or multi-valued functions (a.k.a. constraints). In this paper, we provide a physics-motivated definition of computable discontinuous and multi-valued functions, and we analyze properties of this definition.
CITATION STYLE
Ceberio, M., Kosheleva, O., & Kreinovich, V. (2018). Towards a physically meaningful definition of computable discontinuous and multi-valued functions (constraints). In Studies in Systems, Decision and Control (Vol. 100, pp. 45–49). Springer International Publishing. https://doi.org/10.1007/978-3-319-61753-4_7
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