Synthesis of Communicating Finite-State Machines with Guaranteed Progress

TLDR: A methodology to synthesize two communicating finite-state machines which exchange messages over two one-directional, FIFO channels that requires an O(st) time.

Abstract: We present a methodology to synthesize two communicating finite-state machines which exchange messages over two one-directional, FIFO channels. The methodology consists of two algorithms. The first algorithm takes one machine M , and constructs two communicating machines M' and N' such that 1) M' is constructed from M by adding some receiving transitions to it, and 2) the communication between M' and N' is bounded and free from deadlocks, unspecified receptions, nonexecutable transitions, and state ambiguities. The second algorithm takes the two machines M' and N' which result from the first algorithm, and computes the smallest possible capacities for the two channels between them. Both algorithms require an O(st) time, where s is the number of states in the given machine M , and t is the number of state transitions in M ; thus, the methodology is practical to use.