Replacement and substitution, Computer Engineering

Assignment Help:

Replacement and substitution:

However, equivalences allow us to change one sentence with another without affecting the meaning, it means we know already that replacing one side of an equivalence into the other will have no effect so whatever on the semantics: but it will still be true for the same models. Just assume there we have a sentence S with a sub expression A that we write like S[A]. But there if we know A≡B so we can be sure the semantics of S is unaffected because we replace A with B, i.e. S[A] ≡S[B]. 

However, there we can also use A ≡B to replace any sub expression of S that is an instance of A. But there point to be remember that an instance of a propositional expression A is a 'copy' of A when some of the propositions of have been consistently replaced by original  sub expressions, e.g. to every P has been replaced by ¬Q. So than we call this replacement a substitution, and a mapping from propositions to expressions. Through applying a substitution U to a sentence S,  we find a new sentence S.U that is an instance of S. There always Ii is easy to show that if there A ≡B so A.U ≡B.U just for any substitution U, that is. an instance of an equivalence is as well an equivalence. Thus, an equivalence A ≡B allows us to change a sentence S[A'] to a logically and fundamentally equivalent one S[B'] but if we have substitution U like that A' = A.U and B' = B.U.


Related Discussions:- Replacement and substitution

Difference between synchronous and asynchronous updates, What is the differ...

What is the difference between Synchronous and Asynchronous updates? A program asks the system to perform a particular task, and then either waits or doesn't wait for the task

Associative array processing, Associative Array Processing Consider tha...

Associative Array Processing Consider that a list of record or a table is stored in the memory and you want to search some information in that list. For example, the list havin

Explain about the modules of magento, Magento supports installation of modu...

Magento supports installation of modules by a web-based interface accessible by the administration area of a Magento installation. Modules are hosted on the Magento eCommerce websi

Describe website features and functionality, This assignment relates to all...

This assignment relates to all of the course objectives but more specifically to your practical understanding and evaluation of the key issues in relation to the development of the

Explain dataadapter control, Which method do you invoke on the DataAdapter ...

Which method do you invoke on the DataAdapter control to load  your generated dataset with data? dataAdapter.Fill(ds). The beauty of this method is  it automatically implicitly

List the allowed register pairs of 8085, List the allowed register pairs of...

List the allowed register pairs of 8085. B-C register pair D-E register pair H-L register pair

Vector reduction instructions-vector processing, Vector reduction Instructi...

Vector reduction Instructions : When operations on vector are being deduced to scalar items as the result, then these are the vector reduction instructions. These instructions are

Explain addressing modes in risc, Q. Explain Addressing modes in RISC? ...

Q. Explain Addressing modes in RISC? Simple addressing modes: Another benefit is the use of simple addressing modes. RISC machines employ simple register addressing having disp

Analog to digital convertor, In which A/D converter has the speed of conver...

In which A/D converter has the speed of conversion is maximum ? Ans. In Parallel-comparator A/D converter, the speed of conversion is maximum. Speed of conversion is maximum a

Programming project, l need a help for my project pllz:) Write a program th...

l need a help for my project pllz:) Write a program that will simulate ATM machine. The Program should prompt the user to enter a valid PIN password number of 5 digits (PIN: 12312)

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