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

Determine bhca rating for processor and call completion rate, A call proces...

A call processor in an exchange requires 120 ms to service a complete call. What is the BHCA rating for the processor? If the exchange is capable of carrying 700 Erlangs of traffic

Structure of input - output interface, Q. Structure of Input - Output Inter...

Q. Structure of Input - Output Interface? Due to complexity and number of external devices that I/O interface control, there is not any standard structure of I/O interface. Let

Define the working of flip flops, Define the working of Flip Flops? Fli...

Define the working of Flip Flops? Flip flop is the basic unit of storage this is used to store one bit of information. Flip-flops are the synchronous bistable devices. The term

Add the equation by using 648 and 487 in bcd code, Add 648 and 487 in BCD c...

Add 648 and 487 in BCD code. Ans. In BCD Code, addition of 648 and 487: 6 4 8  =  0 1 1 0   0 1 0 0      1 0 0 0 4 8 7  =  0 1 0 0   1 0 0 0      0 1 1 1 ---------------------

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

Hardware implementation for signed-magnitude data, Hardware Implementation ...

Hardware Implementation for signed-magnitude data When multiplication  is  implemented  in  digital  computer,  we  change  process lightly. Here, in place of providing registe

Define the boolean algebra, Define The Boolean algebra? A set of rules in...

Define The Boolean algebra? A set of rules invented by the English mathematician George Boole describe certain propositions whose outcome would be either true or false with regar

Explain about 4-bit adder-subtractor circuit, Q. Explain about 4-bit adder-...

Q. Explain about 4-bit adder-subtractor circuit? Subtraction operation on binary numbers can be obtained by succession of addition operations only it implies that to achieve su

Communication of request/response - procedural interaction, Explain the Com...

Explain the Communications of Request/Response Communications requirements for message or procedural- based interaction are very similar. Application interaction (client-server

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