Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-10T13:31:50.984Z Has data issue: false hasContentIssue false

5 - Deterministic Transducers

from Part I - Formal Background

Published online by Cambridge University Press:  29 July 2019

Stoyan Mihov  and
Klaus U. Schulz
Stoyan Mihov
Affiliation:
Bulgarian Academy of Sciences
Klaus U. Schulz
Affiliation:
Ludwig-Maximilians-Universität Munchen
Get access

Summary

In this chapter we explore deterministic finite-state transducers. Obviously, it only makes sense to ask for determinism if we restrict attention to transducers with a functional input-output behaviour. In this chapter we focus on transducers that are deterministic on the input tape (called sequential or subsquential transducers). We shall see that only a proper subset of all regular string functions can be represented by this kind of device and we describe a decision procedure for testing whether a functional transducer can be determinized. Further we present a subsequential transducer minimization procedure based on theMyhill–Nerode relation for string functions.

Keywords

deterministic finite-state transducersubsequential finite-state transducertransducer compositionbounded variation propertytransducer determinizationminimal subsequential transducersMyhill–Nerode equivalence relationminimization of subsequential transducers
Type
Chapter
Information
Finite-State Techniques
Automata, Transducers and Bimachines
 , pp. 94 - 137
Publisher: Cambridge University Press
Print publication year: 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×