GATE Computer Science Engineering(CSE) 2027 Test: Theory of Computation

According to the question, minimum of 3 states are required to recognize an octal number divisible by 3.

A Compiler is used to give a finite solution to an infinite phenomenon. An example of an infinite phenomenon is Language C, etc.

∑* represents any combination of the given set while ∑x represents the set of combinations with length x where x ϵ I.

Finite automaton with output is categorized din two parts: Moore M/C and Mealy M/C.

Initial state, from which the operations begin is also initialized with a value.

The tuple definition of Moore and mealy machine comprises one new member i.e. output alphabet as these are finite machines with output.

Statement a and b is correct while c is false. Finite machines with output have no accepting states and can be converted within each other.

Finite Automaton with Output has a common definition for both the categories.

The number of output here follows the transitions in place of states as in Moore machine.

Mealy and Moore machine vary over how the outputs depends on prior one (transitions) and on the latter one(states).

Bounded information refers to one whose output is limited and it cannot be said what were the recorded outputs previously until memorized.

A DFA can be represented in the following formats: Transition Graph, Transition Table, Transition tree/forest/Any programming Language.

Two states are said to be equivalent if and only if they have same number of states as well as transitions.

Proper and sequential combination of events leads the machines to work in hand which includes The elevator, Combinational Locks, Traffic Lights, vending machine, etc. Other applications of Finite machine state system are Communication Protocol Design, Artificial Intelligence Research, A Turnstile, etc.

It is not possible to define the complement of a language without defining the input alphabets. Example: A language which does not consist of substring ‘ab’ while the complement would be the language which does contain a substring ‘ab’.