3 Made title clearer and added tag 'transducer' (Mealy/Moore-automaton)
| link

Is the output sequence of a Mealy Moore machine Regular/Moore automaton a regular language?

2 added 268 characters in body
source | link
  1. How can I prove that the output sequence of Mealy Moore Machine is a Regular Language ?
  2. And what if transition outputs more than one character ? How can we prove for this case that the language in (1) and (2) are same ?

Can I do something like this -

enter image description here

The right side one is Mealy Machine. So can I prove like making a machine in left with transitions using output sequence of Mealy Machine ?

  1. How can I prove that the output sequence of Mealy Moore Machine is a Regular Language ?
  2. And what if transition outputs more than one character ? How can we prove for this case that the language in (1) and (2) are same ?
  1. How can I prove that the output sequence of Mealy Moore Machine is a Regular Language ?
  2. And what if transition outputs more than one character ? How can we prove for this case that the language in (1) and (2) are same ?

Can I do something like this -

enter image description here

The right side one is Mealy Machine. So can I prove like making a machine in left with transitions using output sequence of Mealy Machine ?

1
source | link

Is output sequence of Mealy Moore machine Regular?

  1. How can I prove that the output sequence of Mealy Moore Machine is a Regular Language ?
  2. And what if transition outputs more than one character ? How can we prove for this case that the language in (1) and (2) are same ?