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of A when some of the propositions of have been consistently replaced by original  sub expressions, e.g. to every P has been replaced by ¬Q. So than we call this replacement a substitution, and a mapping from propositions to expressions.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

What are different queues used, 1.Local queue -is a actual queue 2.Clus...

1.Local queue -is a actual queue 2.Cluster queue -is a local queue that is called as throughout a cluster of queue managers 3. Remote queue -structure explaining a queue

Draw back of assigning one bit position to control signals, What is the dra...

What is the draw back of assigning one bit position to each control signals? Assigning individual bits to every control signal results in long microinstructions due to the numb

What are the objectives of uml, What are the Objectives of UML tra...

What are the Objectives of UML trace development of UML; recognize and describe notations for object modelling using UML; describe a variety of structural and be

Acting rationally - artificial intelligence, Acting Rationally: "Al" C...

Acting Rationally: "Al" Capone was finally convicted for tax evasion. Were the police reacting on rationally?? To solve this puzzle, we must first look at how the performance

What is compound statement, What is compound statement If we wish to ha...

What is compound statement If we wish to have more than one statement following the if or the else, they should be grouped together between curly brackets. Such a grouping is c

How does VB.NET achieve polymorphism, How does VB.NET/C# achieve polymorphi...

How does VB.NET/C# achieve polymorphism?  VB.Net / C# give polymorphism through the following mechanisms: 1. Inheritance - base class gives overridable methods which are re-

Find fiber distributed data interconnect is an example of, FDDI (Fiber Dist...

FDDI (Fiber Distributed Data Interconnect) is an example of? Fiber Distributed Data Interconnect is an illustration of token ring.

Explain relative addressing scheme, Q. Explain Relative Addressing Scheme? ...

Q. Explain Relative Addressing Scheme? In this addressing technique the register R is the program counter (PC) which contains the address of current instruction being executed.

Colour - elements of composition, Colour The use of colour is consider...

Colour The use of colour is considered by many to be one of the most important areas in composition. Colours can be used in isolation or specific combinations to create partic

Explain arithmetic data processing instructions, Q. Explain Arithmetic Data...

Q. Explain Arithmetic Data Processing Instructions? These instructions carry outlogical and arithmetic operations on data. Arithmetic: The four fundamental operations are

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