Aczel’s Bisimulation

Aczel’s Bisimulation is a mathematical way to determine if two complex systems, like state machines or processes, behave identically. It looks at their structure: if one system can make a move, the other must make a matching move, and their future states remain comparable. This process ensures both systems are indistinguishable in behavior, regardless of how many steps or changes occur. Essentially, bisimulation provides a rigorous way to recognize when two systems are functionally the same, even if they look different internally.