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A when some of the propositions of have been consistently replaced by original  sub expressions, e.g. to every P has been replaced by ¬Q. So than we call this replacement a substitution, and a mapping from propositions to expressions.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

Explain the term- tracker ball and braille printers, Explain the term- Trac...

Explain the term- Tracker ball and Braille printers Tracker ball Easier to use than a mouse if people have problems using their arms and hands or if they have a coordinati

Difference between panel and group box classes, Difference between Panel an...

Difference between Panel and Group Box classes? Panel & Group box both can used as container for other controls like radio buttons & check box. The dissimilarity in panel & gro

What are the various components in sequence diagrams, ? Actor: Actor shows ...

? Actor: Actor shows an external user / end user who interact with the system. ? Object: Object is shown by one of components of the system. ? Unit: A unit is a subsystem, o

Concept of multithreading, Concept of Multithreading: This problem ris...

Concept of Multithreading: This problem rises in design of large scale multiprocessors like MPP. So a solution for optimizing this latency must be acquired at. The idea of Mul

Operating system, Difference between the symmetric and assymetric multiproc...

Difference between the symmetric and assymetric multiprocessing

Threads model - parallel programming model, In this model a one process can...

In this model a one process can have multiple, concurrent implementations paths. The major programs are scheduled to run by the native operating system. It loads and obtains all th

Perform subtraction in base 5 using r and r-1 complement, Q Write a menu dr...

Q Write a menu driven program to perform subtraction in base 5 using r and (r-1) complement with necessary validations.

What is Video Card Interfaces, Q. What is Video Card Interfaces? A video i...

Q. What is Video Card Interfaces? A video interface is the link of video system to rest of the PC. To improve video performance there is required to be an intimate connection betw

Minimum and maximum algorithm, For this assignment, you will need to create...

For this assignment, you will need to create an ARM assembly language code routine that implements an algorithm to search through an array and find BOTH the minimum and maximum val

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