Deadlock detection in linear recursive programs

Abstract: Deadlock detection in recursive programs that admit dynamic resource creation is extremely complex and solutions either give imprecise answers or do not scale. We define an algorithm for detecting deadlocks of "linear recursive programs" of a basic model. The theory that underpins the algorithm is a generalization of the theory of permutations of names to so-called "mutations", which transform tuples by introducing duplicates and fresh names. Our algorithm realizes the back-end of deadlock analyzers for object-oriented programming languages, once the association programs/basic-model-programs has been defined as front-end.