Linearization in parallel pCRL

We describe a linearization algorithm for parallel pCRL processes similar to the one implemented in the linearizer of the mcrl Toolset. This algorithm finds its roots in formal language theory: the `grammar' defining a process is transformed into a variant of Greibach Normal Form. Next, any such form is further reduced to emph{linear form, i.e., to an equation that resembles a right-linear, data-parametric grammar. We aim at proving the correctness of this linearization algorithm. To this end we define an equivalence relation on recursive specifications in mcrl that is model independent and does not involve an explicit notion of solution

Linearization in parallel pCRL

AbstractWe describe a linearization algorithm for parallel pCRL processes similar to the one implemented in the linearizer of the μCRL Toolset. This algorithm finds its roots in formal language theory: the `grammar' defining a process is transformed into a variant of Greibach Normal Form. Next, any such form is further reduced to linear form, i.e., to an equation that resembles a right-linear, data-parametric grammar. We aim at proving the correctness of this linearization algorithm. To this end we define an equivalence relation on recursive specifications in μCRL that is model independent and does not involve an explicit notion of solution

Leader Election in Anonymous Rings: Franklin Goes Probabilistic

We present a probabilistic leader election algorithm for anonymous, bidirectional, asynchronous rings. It is based on an algorithm from Franklin, augmented with random identity selection, hop counters to detect identity clashes, and round numbers modulo 2. As a result, the algorithm is finite-state, so that various model checking techniques can be employed to verify its correctness, that is, eventually a unique leader is elected with probability one. We also sketch a formal correctness proof of the algorithm for rings with arbitrary size