Propositional versions of resolution, Computer Engineering

Assignment Help:

Propositional versions of resolution:

Just because of so far we've only looked at propositional versions of resolution. However in first-order logic we require to also deal with such variables and quantifiers. And need to worry just about quantifiers: that we are going to be working with sentences like only contain free variables. So that recall that we treat these variables as implicitly universally quantified so by that they can take any value. Moreover this allows us to state a more generally first-order binary resolution inference rule as: 

A ? B,    ¬ C?  D

                              Subst(θ, B) = Subst(&theta, C)

Subst(θ, A ? D)

 

For such rule has the side condition Subst(θ, B) = Subst(&theta, C), that uses there to be a substitution θ that makes B and C the same just before we can apply the rule. Notice there θ can substitute fresh variables when making B and C equal. But there it doesn't have to be a ground substitution! Like if we can find such a θ and we can make the resolution step and apply θ to the outcome. In generally we say that the first-order binary rule is simply equivalent to applying the substitution to the original sentences, and then applying the propositional binary rule.


Related Discussions:- Propositional versions of resolution

Move the layout table, You can select and move a layout table to other area...

You can select and move a layout table to other areas in a particular document. You can't, though, move a layout table so that it overlaps another. Next you will move the table

Explain about semiconductor memories, Q. Explain about Semiconductor Memori...

Q. Explain about Semiconductor Memories? Originally IC technology was used for constructing processor however soon it was realized that same technology can be used for construc

Network properties, Network Properties There are many properties are as...

Network Properties There are many properties are associated with interconnection networks:- 1) Topology: It signify how the nodes a network are organised. A variety of top

Illustrate the term extranet, Illustrate the term Extranet? Extranet:...

Illustrate the term Extranet? Extranet: Extranet is Extension of an Intranet that makes thelatter accessible to outside companies or individuals with or without an intran

What are the standard types of files produced, What are the standard types ...

What are the standard types of files produced? A PDF file is universally recognized by the internet and is also a secure image, given that an electronic footprint remains when

What is open addressing, Open addressing:  The easiest way to resolve a co...

Open addressing:  The easiest way to resolve a collision is to begin with the hash address and do a sequential search by the table for an empty location. The idea is to place the

Explain about cluster computing, The idea of clustering is defined as use o...

The idea of clustering is defined as use of multiple computers naturally multiple storage devices, PCs or UNIX workstations and their interconnections to make what emerges to users

Database system, What are the three data anomalise that are likely to occur...

What are the three data anomalise that are likely to occur as a result of data redundancy?

recycling from e-waste to resources , Make at least 6 web pages with good ...

Make at least 6 web pages with good formatting, color balance and presentation on any one of the following topics:- 1.    Recycling from E-waste to resources 2.    Light and So

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