This article proposes a temporal and parametric specification language (ParTraP) developed for the verification of execution traces. The language extends specification patterns with nested scopes, real-time and first-order quantification over the data inside a JSON trace, while remaining pragmatic. Its design was directed by a case study in the medical field (computer aided surgery). The paper briefly presents the case study and details the design rationale, syntax and semantics of the language. The language has been implemented and several properties have been successfully evaluated over a corpus of 100 surgery traces.