Commutatively of connectives - artificial intelligence, Computer Engineering

Assignment Help:

Commutatively of Connectives

You will be aware from the fact that some arithmetic operators have a property that it does not matter which way around you give the operator input. We call this property commutatively. For instance, when adding 2 numbers, it does not matter which one comes first, because a+b = b+a forall b and a. The similar is true for multiplication but not true for divisionand subtraction.

The ∧,∨ and <-> connectives (which operate on two sub sentences), also have the commutatively property. We can express this with 3 tautologies:

P ∧ Q ≡ Q∧ P

P ∨ Q ≡ Q ∨P

P <-> Q = Q <-> P

So, if it helps to do so, whenever we see P ∧ Q, we may rewrite it as Q ∧ P, and similarly for the other 2 commutative connectives.


Related Discussions:- Commutatively of connectives - artificial intelligence

Difference between perl and mod_perl, Perl is a language and MOD_PERL is a ...

Perl is a language and MOD_PERL is a module of Apache used to increase the performance of the application.

What is instruction cycle, What is Instruction Cycle The simplest model...

What is Instruction Cycle The simplest model of instruction processing can be of two steps. The CPU reads /fetches instructions (codes) from memory one at a time and executes i

Name the variable types of c, C provides a wide range of variable types. ...

C provides a wide range of variable types. Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Explain problem-oriented and procedure-oriented language, Explain differenc...

Explain difference between Problem-oriented and procedure-oriented language. Problem-oriented and procedure-oriented language: The programming languages which can be utilized

When can we see layer groups in gimp, Sometimes it is nice to place layers ...

Sometimes it is nice to place layers in groups. It makes them simple to organize when you have lots of them. It also means you can simply apply the similar effect to lots of layers

Perform binary addition and subtraction on two numbers, Q Develop a menu ...

Q Develop a menu driven program to perform Binary addition and subtraction on two numbers that are inputted. Check that entered numbers are in base 2 or not else error messag

How to changing the directory in dos, Q. How to Changing the Directory in D...

Q. How to Changing the Directory in DOS? You can change the directory. After changing the directory, the new directory becomes the default directory. For example, you change th

What is data structure, What is data structure? A data structure is a w...

What is data structure? A data structure is a way of organizing data that considers not only the items kept, but also their relationship to each other. Advance knowledge abo

Building is into our operational processes, Building IS into our operationa...

Building IS into our operational processes - Information System Although information systems are becoming increasingly prevalent they are not always the correct solution to ev

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