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Read the informal definition of the finite state transducer given in Exercise 1.24. Give a formal definition of this model, following the pattern in Definition 1.5 (page 35). Assume that an FST has an input alphabet ∑and an output alphabet but not a set of accept states. Include a formal definition of the computation of an FST.

(Hint: An FST is a 5-tuple. Its transition function is of the formδ:Qx∑→QxT

Short Answer

Expert verified

The transition is δ(qi+1',wi+1)=(qi+1',xi+1)for0⩽i <n

Step by step solution

01

Introduction

Finite State Transducer:

• A deterministic finite transducer is indeed a deterministic finite state automata that includes either an inputs as well as an output sequence..

• It turns every input file to something like a string output..

02

Explanation

The following seems to be the precise definition of a State Machine Transducer (FST):

A Finite State Transducer (FST) is a 6-tuple machine with the following representation:M=Q,∑,r,δ,q0where

• Q is a finite set of states.

• ∑ is a finite set of input alphabets.

• r is a finite set of output alphabets.

• δ:Qx∑→QxTis the transition function that defines rules.

• q0∈Q, is the start state.

The proper definition for Finite State Transducer (FST) computing seems to be as follows:

•This finite state machine gets computed by converting the input stream into an output string.

• Suppose w is really a string that spans the source alphabet. ∑where x is very much an output string made out of the letters of the alphabet r .

• This changeover takes place in a series of states. q0,q1,q2,...qninQ such that q0=q0

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