Tests and proofs

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This volume presents the proceedings of TAP 2010, the 4th International Conference on Tests and Proofs, held on July 1–2 in Málaga, Spain, as part of the TOOLS Federated Conferences. This event is a continuation of a series focused on the intersection of proofs and tests, which have historically been viewed as distinct and even opposing methodologies. Proponents of proving argue that if correctness is established through proofs, testing becomes unnecessary. Conversely, testers assert that proofs have limited applicability and that testing is the only reliable route to correctness. Both perspectives hold merit, as highlighted by Ed Brinksma's 2009 keynote remarking on the importance of both methods in software safety. The integration of these approaches is increasingly evident, with modern testing systems incorporating formal proof techniques, while testing enables the application of proofs in previously unfeasible contexts. As software engineering conferences increasingly feature papers on both testing and proving, we are approaching a paradigm shift where these techniques are recognized as complementary rather than competitive. The TAP conferences serve as a vital platform for researchers exploring these converging topics and aim to enhance awareness of their significance.