Question 1 This question is about finite-state automata (FSAS), and context-free grammars (CFGS). You are given the following automaton A over the alphabet E = {a, b, c}: a а, b a C. a a a 92 93 (a) Give a formal definition (i.e. as a 5-tuple) of the above automaton A. (b) Give two words contained in the language acce.ed by the aut_maton A, and two words not contained in the language accepted by the automaton A. (c) Explain what makes the automaton A non-deterministic. (d) Give, as transition graph, a deterministic FSA that accepts the same language as A. Justify your answer, for example by following the subser construction. (e) Give, as transition graph, the minimal deterministic FSA accepting the same language as A. Justify your answer, for example by building a marking table of necessarily distinct states. Make sure you show why each marked entry in the table gets marked.

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Question 1
This question is about finite-state automata (FSAS), and context-free grammars (CFGS).
You are given the following automaton A over the alphabet E = {a, b, c}:
%3D
a, b
a
a
91
a
a
42
93
(a) Give a formal definition (i.e. as a 5-tuple) of the above automaton A.
(b) Give two words contained in the language acce.ed by the au maton A, and two words
not contained in the language accepted by the automaton A.
(c) Explain what makes the automaton A non-deterministic.
(d) Give, as transition graph, a deterministic FSA that accepts the same language as A.
Justify your answer, for example by following the subser construction.
(e) Give, as transition graph, the minimal deterministic FSA accepting the same language
as A.
Justify your answer, for example by building a marking table of necessarily distinct states.
Make sure you show why each marked entry in the table gets marked.
Transcribed Image Text:Question 1 This question is about finite-state automata (FSAS), and context-free grammars (CFGS). You are given the following automaton A over the alphabet E = {a, b, c}: %3D a, b a a 91 a a 42 93 (a) Give a formal definition (i.e. as a 5-tuple) of the above automaton A. (b) Give two words contained in the language acce.ed by the au maton A, and two words not contained in the language accepted by the automaton A. (c) Explain what makes the automaton A non-deterministic. (d) Give, as transition graph, a deterministic FSA that accepts the same language as A. Justify your answer, for example by following the subser construction. (e) Give, as transition graph, the minimal deterministic FSA accepting the same language as A. Justify your answer, for example by building a marking table of necessarily distinct states. Make sure you show why each marked entry in the table gets marked.
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