Imagine that students on campus decide to organize a protest. Other students disagree with the protesting students, and proclaim themselves to be anti-protest. Other students, upset with the anti-protest students, decide they are anti-anti-protest. Others are against that, or anti-anti-anti- protest. Assuming that students' capacity to disagree with other students is infinite, and can be described by repeated use of the prefix anti-, can the infinite set of expressions that describe the students' positions regarding their opposition to the protest, and opposition to that opposition, and so on (i.e. L = {anti-protest, anti-anti-protest, anti-anti-anti-protest,.}) be modeled by a finite-state machine? O Yes. We can build a machine that has an initial state A, and state A has a transition to itself with symbol "anti", and a transition to a final state B with symbol "protest". O Yes. We can build a machine that has an initial state A1, and state A1 would have a transition to state A2 with symbol "anti". State A2 would have a transition to a final state B with symbol "protest". State A2 would also have a transition to itself with the symbol "anti". O Yes. We can build a machine that has an initial state A1, which would have a transition to state A2 with the symbol "anti". State A2 would have a transition to a final state B with the symbol "protest", and a transition to state A3 with the symbol "anti". State A3 would have a transition to final state B, and a transition to state A4 with the symbol "anti", and so on for states An, where n is a positive integer. O No. The language described (L) is not a regular language, so a FSA for this language doesn't exist.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Imagine that students on campus decide to organize a protest. Other students disagree with the
protesting students, and proclaim themselves to be anti-protest. Other students, upset with the
anti-protest students, decide they are anti-anti-protest. Others are against that, or anti-anti-anti-
protest. Assuming that students' capacity to disagree with other students is infinite, and can be
described by repeated use of the prefix anti-, can the infinite set of expressions that describe the
students' positions regarding their opposition to the protest, and opposition to that opposition, and
so on (i.e. L = {anti-protest, anti-anti-protest, anti-anti-anti-protest, .}) be modeled by a finite-state
machine?
O Yes. We can build a machine that has an initial state A, and state A has a transition to itself with symbol
"anti", and a transition to a final state B with symbol "protest".
O Yes. We can build a machine that has an initial state A1, and state A1 would have a transition to state A2
with symbol "anti". State A2 would have a transition to a final state B with symbol "protest". State A2 would
also have a transition to itself with the symbol "anti".
O Yes. We can build a machine that has an initial state A1, which would have a transition to state A2 with the
symbol "anti". State A2 would have a transition to a final state B with the symbol "protest", and a transition
to state A3 with the symbol "anti". State A3 would have a transition to final state B, and a transition to state
A4 with the symbol "anti", and so on for states An, wheren is a positive integer.
O No. The language described (L) is not a regular language, so a FSA for this language doesn't exist.
Transcribed Image Text:Imagine that students on campus decide to organize a protest. Other students disagree with the protesting students, and proclaim themselves to be anti-protest. Other students, upset with the anti-protest students, decide they are anti-anti-protest. Others are against that, or anti-anti-anti- protest. Assuming that students' capacity to disagree with other students is infinite, and can be described by repeated use of the prefix anti-, can the infinite set of expressions that describe the students' positions regarding their opposition to the protest, and opposition to that opposition, and so on (i.e. L = {anti-protest, anti-anti-protest, anti-anti-anti-protest, .}) be modeled by a finite-state machine? O Yes. We can build a machine that has an initial state A, and state A has a transition to itself with symbol "anti", and a transition to a final state B with symbol "protest". O Yes. We can build a machine that has an initial state A1, and state A1 would have a transition to state A2 with symbol "anti". State A2 would have a transition to a final state B with symbol "protest". State A2 would also have a transition to itself with the symbol "anti". O Yes. We can build a machine that has an initial state A1, which would have a transition to state A2 with the symbol "anti". State A2 would have a transition to a final state B with the symbol "protest", and a transition to state A3 with the symbol "anti". State A3 would have a transition to final state B, and a transition to state A4 with the symbol "anti", and so on for states An, wheren is a positive integer. O No. The language described (L) is not a regular language, so a FSA for this language doesn't exist.
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