Verificação baseada em indução matemática para programas C++

Abstract

The use of embedded systems, computational systems specialized to do a function in larger systems, electronic or mechanical, is growing in the daily life, and it is becoming increasingly important to ensure the robustness of these systems. There are several techniques to ensure that a system is released without error. In particular, formal verification is proving very effective in finding bugs in programs. In this work, we describe the formal verification for C++ Programs and correctness proof by mathematical induction. Both techniques will be developed using the tool Efficient SMT-Based Context-Bounded Model Checker (ESBMC), a model checker based on satisfiability modulo theories and first order logic. The experiments show that the tool can be used to check a wide range of applications, from simple test cases to commercial applications. The tool also proved to be more efficient than other models checkers to verify C++ programs, finding a greater number of bugs, and supporting a larger number of the features that the language C++ has to offer, in addition to being able to prove several properties, using the method of mathematical induction.