Eight-stage process - conjunctive normal forms, Computer Engineering

Assignment Help:

Eight-stage process - Conjunctive normal forms:

Hence we notice the following eight-stage process converts any sentence with CNF as: 

1.  Eliminate all arrow connectives by rewriting into 

      P ↔ Q    =>   (P  →Q) ^  (Q → P)

      P → Q   =>   ¬P ? Q

2.  Just move ¬ inwards requiring De Morgan's laws in inc. quantifier versions and double

3.  Here rename variables apart: as the same variable name may be reused several times for different variables, contained by one sentence or between several. However to avoid confusion later rename each distinct variable into a unique name. 

4. Now move quantifiers outwards: as the sentence is now in a form whether all the quantifiers can be moved safely to the outside else affecting the semantics, which are provided they are kept in the same order. 

5. Skolemise existential variables  by replacing them into  Skolem constants and functions. But this is similar to the existential elimination rule from the last lecture: as we just substitute a term for each existential variable such are represents the 'something' for that it holds. Suppose if there are no preceeding universal quantifiers the 'something' is a fresh constant. Moreover, if there are then we use a function that takes all these preceeding universal variables as arguments then we're done we just drop all the universal quantifiers. Thus this types  leaves a quantifier-free sentence.


Related Discussions:- Eight-stage process - conjunctive normal forms

Implementation and testing, In this stage of the project you are required t...

In this stage of the project you are required to create a Design document, the Design document must contain the following:  Structure chart Pseudo-code Data Dictionary

Define the term web service with example, Define the term web service with ...

Define the term web service with example. A web service is an application that operate over a network-typically, over the Internet. Most typically, a web service is an API that

Identify specific weaknesses in the design, Identify three specific weaknes...

Identify three specific weaknesses in the design of the websites, derived from your analyses within Questions Part (c) and/or Question Part (a). There should be at least one weakne

Mathematical applications, The current 32 and 64 bit machines can represent...

The current 32 and 64 bit machines can represent integers of around 9 digits and 30 digits respectively, while various scientific and mathematical applications have to represent in

Visual basic applications in general context, Describe some general uses fo...

Describe some general uses for Visual basic applications in general context? Ans) Visual basic can be used within almost all Microsoft products such as Map point, Visio, Auto ca

Describe the term- systems analysis, Describe the term- Systems Analysis ...

Describe the term- Systems Analysis A systems analysis team is every so often brought in to improve on an existing system. Often this involves moving from a paper-based filing

Write a perl script, Write a PERL script which takes a file named input.txt...

Write a PERL script which takes a file named input.txt as an input and processes it. The input file has the following format: firstname lastname: pass/fail score%. A sample input f

Two different ways of building a match code object, What are the two differ...

What are the two different ways of building a match code object? A match code can be built in two dissimilar ways: Logical structure: The matchcode data is set up not pe

Concept of multithreading, Concept of Multithreading: This problem ris...

Concept of Multithreading: This problem rises in design of large scale multiprocessors like MPP. So a solution for optimizing this latency must be acquired at. The idea of Mul

Find the minimum sop and pos expression, Find the minimum SOP and POS expre...

Find the minimum SOP and POS expression for the following functions using Karnaugh Map and realize the expression using appropriate gates. Also realize SOP form using NAND-to-NAND

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd