Process Mining arises from Business Process Management (BPM), where it was introduced as a way to infer workflows and effectively use the audit trails (traces) present in information systems. These traces contain a sequence of events referring to activities execute within the process instance. In this paper, a new type of sequence called ‘Minimal Sequence’ is proposed as a novel way to analyze process traces. The use of this new sequence type implies an improvement in the grouping and alignment of traces from real-world applications, such as banking transactions and phone operations.