Question: Task. We call a without - epsilon nondeterministic finite automaton A = ( K , , , q 0 , F ) acyclic with loops

Task. We call a "without-epsilon" nondeterministic finite automaton A=(K,,,q0,F) acyclic with loops if its transition diagram does not contain any directed cycle other than a loop: for all q,q'inK,cin, and win**, it holds that q'=q whenever (q,cw)|||==?A(q',w)|||==?A(q,). We denote the class of all languages accepted by such automata as L1.
Compare the language classes L1 and R- prove the validity of both inclusions between these classes.
Task. We call a "without - epsilon"

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