transitionsconnected
Transitionsconnected is a term used in the study of state-transition systems and automata theory to describe a property of the transition graph. It refers to a condition in which the set of transitions forms a connected subgraph when adjacency is defined by shared states. Concretely, for transitions e1 = (s1, t1) and e2 = (s2, t2), the system is transitionsconnected if there exists a finite sequence of transitions e1, e3, ..., ek = e2 such that consecutive transitions in the sequence share a common state (either a source or a target). This means any two transitions can be linked by a chain of transitions through intermediate states.
The concept is used in modeling, verification, and design of state machines, workflow diagrams, and process
Applications include design guidance for ensuring testability and navigability in models, as well as verification checks
Example: A simple automaton with three states A, B, and C and transitions a: A→B, b: B→C,