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

Define overflow, Define Overflow.  An overflow is a problem in digital ...

Define Overflow.  An overflow is a problem in digital computer due to the width of registers is finite. A result that contains n+ 1 bit cannot be accommodated in a register wit

What do you mean by inline function, The idea behind inline functions is to...

The idea behind inline functions is to insert the code of a known function at the point where the function is called. If done carefully, this can improve the application's performa

Algorithm, i need algorithm for padovan string

i need algorithm for padovan string

For which class address 192.5.48.3 belogs, Address 192.5.48.3 belongs to? ...

Address 192.5.48.3 belongs to? Address 192.5.48.3 belongs to class C.

What is algorithm design technique, What is Algorithm Design Technique? ...

What is Algorithm Design Technique? An  algorithm  design  method  is  a  general  approach  to  solving  problems  algorithmically  that  is applicable to a variety of proble

Reduce minimum literals and derive their complements, Q. Reduce following t...

Q. Reduce following to minimum literals and derive their complements. 1. [(AB)'A][(AB)'B] 2. ABC(ABC' + AB'C + A'BC) 3. (A+C+D) (A+C+D') (A+C'+D)(A+D')

Why are arrays usually processed with for loop, The real power of arrays co...

The real power of arrays comes from their facility of using an index variable to traverse the array, accessing every element with the similar expression a[i]. All the is required t

In what way the protection fault handler concludes, In what way the protect...

In what way the protection fault handler concludes? After finishing the implementation of the fault handler, it sets the change and protection bits and clears the copy on write

Two - bit correlating predictor, The history file, history.txt, is the bran...

The history file, history.txt, is the branch history of a run of the gcc compiler (the first field is the address of the branch instruction, the second field is the target branch a

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