Bounded Reachability Problems are Decidable in FIFO Machines

Bounded Reachability Problems are Decidable in FIFO Machines

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The undecidability of basic decision problems for general FIFO machines such as reachability and unboundedness is well-known.In this paper, we provide an underapproximation for the general model by considering only runs that are input-bounded (i.e.

the Global Analysis of Natural Products Biosynthetic Diversity Encoded in Fungal Genomes sequence of messages sent through a particular channel belongs to a given bounded language).We prove, by reducing this model to a counter machine with restricted zero tests, that the rational-reachability problem (and by extension, control-state reachability, unboundedness, deadlock, etc.) is decidable.

This class of machines subsumes input-letter-bounded machines, flat machines, linear FIFO nets, and monogeneous machines, for which some of these problems were already shown to be Explaining demand patterns during COVID-19 using opportunistic data: a case study of the city of Munich decidable.These theoretical results can form the foundations to build a tool to verify general FIFO machines based on the analysis of input-bounded machines.