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

Set up to use parallel virtual machine, Q. Set up to Use parallel virtual m...

Q. Set up to Use parallel virtual machine? PVM employs two environment variables when starting and running. Each and every PVM user needs to set these two variables to employ P

Concept of multithreading, Concept of Multithreading: These troubles incre...

Concept of Multithreading: These troubles increase in the design of large-scale multiprocessors such as MPP as discussed above. Thus, a solution for optimizing this latency should

Transportation model, advantages and disadvantages of northwest corner meth...

advantages and disadvantages of northwest corner method and least cost method

Calculate the blocking probability of three stage network, A three stage ne...

A three stage network is designed with the following parameters: M=N=512, p = q = 16 and α = 0.65. Calculate the blocking probability of the network, if s=16. Symbols carry th

Explain folded network, Explain Folded network. Folded network: While...

Explain Folded network. Folded network: While all the inlets/outlets are connected to the subscriber lines, the logical connection shows as demonstrated in figure. When, the

IEEE802.4 Token Bus Network, en a five station token bus LAN with station a...

en a five station token bus LAN with station addresses of 3000, 500, 100, 70, and 50. Stations with addresses of 5000, 4000, 400, 90, and 60 are waiting to enter the ring. Assume a

Example on passing parameters through stack, Q. Example on Passing Paramete...

Q. Example on Passing Parameters through Stack? PROGRAM: Version 3 DATA_SEG               SEGMENT                         BCD DB 25h; Storage for BCD test value BIN

Comparison between risc and cisc - computer architecture, Comparison betwee...

Comparison between risc and cisc - computer architecture: CISC  Emphasis on hardware  Includes multi-clock complex instructions  Memory-to-memory

Discuss the advantages of store program control, Discuss the advantages of ...

Discuss the advantages of store program control (SPC) automation in telephone switching. Advantages of SPC: (i) Simple to control (ii) Simple to maintain (iii) Fine-

Example application - canonical genetic algorithm, Example Application: ...

Example Application: There are many fantastic applications of genetic algorithms. Conceivably my favorite is their usage in evaluating Jazz melodies done as part of a PhD proj

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