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Composition-Nominative Methods and Models in Program Development

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Abstract

Software development methods take into consideration various program aspects. Among such aspects, compositionality and nominativity are the basic ones. Compositionality suggests that program meaning is a composition of meanings of its components, while nominativity suggests that components themselves are constructed with the help of relation “name–value”. Compositionality permits to describe program semantics with the formalism of program algebras. As to nominativity, it permits to represent various data structures in a unified form of nominative data. In this case, programs can be specified by program algebras over such data. This leads to composition-nominative languages used for program modeling. Such languages can be extended to program specification languages. Composition-nominative logics provide means for program reasoning. In this paper, we continue our research of program algebras and logics over nominative data. We consider various classes of nominative data with simple/complex names and simple/complex values with direct and indirect naming. We define program and specification algebras over hierarchical nominative data, specify corresponding languages and construct a program logic of Floyd–Hoare type for such programs. Constructed logics are logics over partial predicates and functions in which complex names are used. In this case, the rules of classical Floyd–Hoare logics are not sound; therefore, we use special compositions extending logic expressiveness, special consequence relations, and modified rules of Floyd–Hoare logics. Presented results give means for modeling and reasoning about program over complex data structures.

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  1. Taras Shevchenko National University of Kyiv, 60 Volodymyrska Street, Kyiv, 01033, Ukraine

    Mykola Nikitchenko

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This article is part of the topical collection “Models and Methods in ICT for Research and Applications” guest edited by Vadim Ermolayev, Stephen W Liddle, Heinrich C Mayr, Elisabeth Métais and Jolita Ralyté.

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Nikitchenko, M. Composition-Nominative Methods and Models in Program Development. SN COMPUT. SCI. 3, 507 (2022). https://doi.org/10.1007/s42979-022-01335-2

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