Reisig’s Algebraic (or SPEC-inscribed) Petri nets are considered among the most robust and advanced high- level Petri net formalisms ever suggested. However, it appears that there are few rigorous implementations derived from this model based on an algebraic framework. We present an effective implementation of algebraic Petri nets (APN) utilizing Maude, a declarative language characterized by rewriting logic semantics. We contend that our approach is the first systematic utilization of Maude as an effective rewriting engine for APNs. By explor- ing two distinct definitions, we address the nuanced modeling challenges arising from Maude’s operational semantics based on pattern-matching. We further demonstrate the advantage of utilizing rewritable terms as active tokens, a feature naturally supported by Maude. The paper presents simple examples throughout, with an advanced example of adaptive Multilevel Feedback Queue scheduling.