Propositional truth tables, Computer Engineering

Assignment Help:

Propositional truth tables:

There {X\t} is a substitution that replaces all occurances of variable X with a term representing an object t as: 

  • ∀X. A is true if and only if A.{X\t} for every one t in Δ
  • ?X. A is true if and only if A.{X\t} for at any rate one t in Δ

 

By repeating this for all the quantifiers than we get a set of ground formulae in which we have to check that if the original sentence is true or false. But unfortunately, we don't have specified there that our domain Δ is finite -  like in example we see that it may contain the natural numbers -  but there may be a infinite number of sentences to check for a given model! So there may be also be an infinite number of models. And although we have a proper definition of model hence a proper semantics for first-order logic and we can't rely on having a finite number of models like we did where drawing propositional truth tables.


Related Discussions:- Propositional truth tables

Illustrate what is a astrophysics, Q. Illustrate what is a astrophysics? ...

Q. Illustrate what is a astrophysics? Answer:- Examine of galaxies, stars and the creation of the universe including predictions about how it will proceed from here.

Functionality of hypethread processor, Hyper-threading works by duplicating...

Hyper-threading works by duplicating those parts of processor which store architectural state but not duplicating main execution resources. This permits a Hyper-threading equipped

Which layer is not present in TCP/IP model, Which Layer is not present in T...

Which Layer is not present in TCP/IP model? Presentation layer is not present into Transfer Control Protocol/IP Model.

What is the significance timescale directive, What is the significance Time...

What is the significance Timescale directive? Defines time units and simulation precision (smallest increment). Syntax 'timescale TimeUnit / PrecisionUnit TimeUnit =

What are the external storage systems, External storage systems A numb...

External storage systems A number of different types of external memory devices are available now. Some of these are considered below (hard drives haven't been mentioned as th

What are the techniques of data collection, What are the techniques of Data...

What are the techniques of Data Collection It can be either automatic or manual. Manual techniques can include: -  Keypads/Keyboards to type in data -  touch screens to s

What are common reason for error massages while copying file, Q. What are c...

Q. What are common reason for error massages while copying file? While copying files with copy, DOS in encounters any error, it displays a suitable error massage. The common re

Analysis of website, In this part you are required to review and critique a...

In this part you are required to review and critique a website of a café or a restaurant of your choice. Your report should be a minimum 500 words with a maximum of 1000 words. You

Explain characteristics of prototyping, Question: (a) List five main c...

Question: (a) List five main characteristics of ‘Prototyping'. (b) Describe briefly why ‘Prototyping' is essential to Rapid Application Development. (c) Describe the 2 t

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