This booklet constitutes the refereed lawsuits of the ninth overseas convention on checks and Proofs, faucet 2015, held in L` Aquila, Italy, in July 2015, as a part of the STAF 2015 Federated meetings. The eleven revised complete papers and 1 brief papers awarded including three invited talks have been conscientiously reviewed and chosen from 21 submissions. The authorized papers give a contribution to varied trying out ideas (model-based, property-based, grammar-based, bounded-exhaustive), fault localization, model-driven engineering, in addition to version insurance, consistency and validation, between others. Many papers depend upon interactive and automated theorem provers, together with SMT solvers and version checkers.
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