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Smart Bound Selection for the Verification of UML/OCL Class Diagrams (YA PUBLICADO)

Correctness of UML class diagrams annotated with OCL constraints can be checked using bounded verification techniques, e.g., SAT or constraint programming (CP) solvers. Bounded verification detects faults efficiently but, on the other hand, the absence of faults does not guarantee a correct behavior outside the bounded domain. Hence, choosing suitable bounds is a non-trivial process as there is a trade-off between the verification time (faster for smaller domains) and the confidence in the result (better for larger domains). Unfortunately, bounded verification tools provide little support in the bound selection process.In this paper, we present a technique that can be used to (i) automatically infer verification bounds whenever possible, (ii) tighten a set of bounds proposed by the user and (iii) guide the user in the bound selection process. This approach may increase the usability of UML/OCL bounded verification tools and improve the efficiency of the verification process.This paper has been published in IEEE Transactions on Software Engineering[]

An Exercise in Proving Red-Black Trees Correct (Trabajo en progreso)

Red-black trees are an efficient data structure that constitutes the basis for implementing maps, multimaps, sets and multisets, in the standard libraries of many programming languages. It achieves logarithmic costs for searching, inserting, and deleting keys, but keeping them balanced frequently requires to deal with a high number of cases. However, a variant called «Left-Leaning», due to Robert Sedgewick, reduces the number of cases to a few ones. We present here a functional version of these red-black trees and prove them correct with respect to a model-based specification, being the model of a red-black tree a set of elements. We have used the Dafny verification platform, which provides the programming language, the assertion language, and the verifier. The latter is an up-to-date SMT solver (Satisfiability Modulo Theories), which can deal with a rather large decidable fragment of the first-order logic.