Selected publications at LSV

Abstract:
We propose a formal model of distributed computing based on register automata that captures a broad class of synchronous network algorithms. The local memory of each process is represented by a finite-state controller and a fixed number of registers, each of which can store the unique identifier of some process in the network. To underline the naturalness of our model, we show that it has the same expressive power as a certain extension of first-order logic on graphs whose nodes are equipped with a total order. Said extension lets us define new functions on the set of nodes by means of a so-called partial fixpoint operator. In spirit, our result bears close resemblance to a classical theorem of descriptive complexity theory that characterizes the complexity class PSPACE in terms of partial fixpoint logic (a proper superclass of the logic we consider here).

@inproceedings{BBR-fossacs19,
   address = {Prague, Czech Republic},
   author = {Benedikt Bollig and Patricia Bouyer and Fabian Reiter},
   booktitle = {{P}roceedings of the 22nd {I}nternational {C}onference on {F}oundations of {S}oftware {S}cience and {C}omputation {S}tructures ({FoSSaCS}'19)},
   editor = {Boja{\'n}czyk, Mikolaj and Simpson, Alex},
   month = apr,
   note = {To appear},
   publisher = {Springer},
   series = {Lecture Notes in Computer Science},
   title = {Identifiers in Registers - Describing Network Algorithms with Logic},
   url = {https://arxiv.org/abs/1811.08197},
   year = {2019},
}

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