Complexity of adaptive testing in scenarios defined extensionally

In this paper we consider a testing setting where the set of possible definitions of the Implementation Under Test (IUT), as well as the behavior of each of these definitions in all possible interactions, are extensionally defined, i.e., on an element-by-element and case-by-case basis. Under this se...

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Detalles Bibliográficos
Autores: Rodríguez Laguna, Ismael, Rubio, David, Rubio Díez, Fernando
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/88644
Acceso en línea:https://hdl.handle.net/20.500.14352/88644
Access Level:acceso abierto
Palabra clave:Formal testing
Adaptive testing
Computational Complexity
PSPACE-completeness
approximation hardness
Informática (Informática)
1203.17 Informática
Descripción
Sumario:In this paper we consider a testing setting where the set of possible definitions of the Implementation Under Test (IUT), as well as the behavior of each of these definitions in all possible interactions, are extensionally defined, i.e., on an element-by-element and case-by-case basis. Under this setting, the problem of finding the minimum testing strategy such that collected observations will necessarily let us decide whether the IUT is correct or not (i.e., whether it necessarily belongs to the set of possible correct definitions or not) is studied in four possible problem variants: with or without non-determinism; and with or without more than one possible definition in the sets of possible correct and incorrect definitions. The computational complexity of these variants is studied, and properties such as PSPACE-completeness and LogAPX-hardness are identified.