Boolean functions can be expressed in Disjunctive normal form (DNF) or Conjunctive normal form (CNF). Can anyone explain why these forms are useful?
Boolean function, what is the purpose of DNF and CNF?
6.9k views Asked by Max_Salah At
2
There are 2 answers
Related Questions in BOOLEAN-LOGIC
- how to send email from localhost using codeigniter?
- PowerShell EWS Save as for e-mails
- I want to develop an automated email application in asp.net with c#
- Not able to send email in java using SMTP,its blocked by firewall in my office.Is there any other method by which we can send mail?
- Postfix - cannot connect to server to receive email
- PHPMailer send mail with array ( $_POST['email'] )
- Could Not Instantiate Mail Function - PHPMailer - With Attachments - Only Google Chrome
- encrypted email with entrust certificate is not opening with MS Outlook
- Disconnect Client connected to cgi application
- send a message using freemarker
Related Questions in BOOLEAN-EXPRESSION
- how to send email from localhost using codeigniter?
- PowerShell EWS Save as for e-mails
- I want to develop an automated email application in asp.net with c#
- Not able to send email in java using SMTP,its blocked by firewall in my office.Is there any other method by which we can send mail?
- Postfix - cannot connect to server to receive email
- PHPMailer send mail with array ( $_POST['email'] )
- Could Not Instantiate Mail Function - PHPMailer - With Attachments - Only Google Chrome
- encrypted email with entrust certificate is not opening with MS Outlook
- Disconnect Client connected to cgi application
- send a message using freemarker
Related Questions in CONJUNCTIVE-NORMAL-FORM
- how to send email from localhost using codeigniter?
- PowerShell EWS Save as for e-mails
- I want to develop an automated email application in asp.net with c#
- Not able to send email in java using SMTP,its blocked by firewall in my office.Is there any other method by which we can send mail?
- Postfix - cannot connect to server to receive email
- PHPMailer send mail with array ( $_POST['email'] )
- Could Not Instantiate Mail Function - PHPMailer - With Attachments - Only Google Chrome
- encrypted email with entrust certificate is not opening with MS Outlook
- Disconnect Client connected to cgi application
- send a message using freemarker
Popular Questions
- How do I undo the most recent local commits in Git?
- How can I remove a specific item from an array in JavaScript?
- How do I delete a Git branch locally and remotely?
- Find all files containing a specific text (string) on Linux?
- How do I revert a Git repository to a previous commit?
- How do I create an HTML button that acts like a link?
- How do I check out a remote Git branch?
- How do I force "git pull" to overwrite local files?
- How do I list all files of a directory?
- How to check whether a string contains a substring in JavaScript?
- How do I redirect to another webpage?
- How can I iterate over rows in a Pandas DataFrame?
- How do I convert a String to an int in Java?
- Does Python have a string 'contains' substring method?
- How do I check if a string contains a specific word?
Popular Tags
Trending Questions
- UIImageView Frame Doesn't Reflect Constraints
- Is it possible to use adb commands to click on a view by finding its ID?
- How to create a new web character symbol recognizable by html/javascript?
- Why isn't my CSS3 animation smooth in Google Chrome (but very smooth on other browsers)?
- Heap Gives Page Fault
- Connect ffmpeg to Visual Studio 2008
- Both Object- and ValueAnimator jumps when Duration is set above API LvL 24
- How to avoid default initialization of objects in std::vector?
- second argument of the command line arguments in a format other than char** argv or char* argv[]
- How to improve efficiency of algorithm which generates next lexicographic permutation?
- Navigating to the another actvity app getting crash in android
- How to read the particular message format in android and store in sqlite database?
- Resetting inventory status after order is cancelled
- Efficiently compute powers of X in SSE/AVX
- Insert into an external database using ajax and php : POST 500 (Internal Server Error)
CNF is useful because this form directly describes the Boolean SAT problem, which while NP-complete, has many incomplete and heuristic exponential time solvers. CNF has been further standardized into a file format called the "DIMACS CNF file format", from which most solvers can operate on. Thus for example, the chip industry can verify their circuit designs by converting to DIMACS CNF, and feeding in to any of the solvers available. The Tseitin Transformation can convert circuits to an equisatisfiable CNF.
DNF is not as useful practically, but converting a formula to DNF means one can see a list of possible assignments that would satisfy the formula. Unfortunately, converting a formula to DNF in general, is hard, and can lead to exponential blow up (very large DNF), which is evident, because there can be exponentially number of satisfying assignments to a formula.
While CNF can be succinct compared with DNF, it is sometimes hard to reason with, because it can lose structure when converted from a circuit for example, and so another succinct form would be useful. The and-inverter graph data structure was designed for this purpose; it can more closely model the structure of circuits, and is thus much easier to reason with in some types of formulas. However there are not many solvers that operate on it.
Other forms include: