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A when some of the propositions of have been consistently replaced by original  sub expressions, e.g. to every P has been replaced by ¬Q. So than we call this replacement a substitution, and a mapping from propositions to expressions.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

Network topology, According to the report, network 1 and network 2 are not ...

According to the report, network 1 and network 2 are not able to reach network 3. As shown on OTBNetwork Topology above, OTB Inc. has 2 routing protocols running due transition iss

Define virtual memory, Normal 0 false false false EN-IN...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Discuss program testing and debugging in detail, Discuss program testing an...

Discuss program testing and debugging in detail. In program debugging and testing significant steps are as follows: a. For the program, construction of test data b. Analy

Error handling in hard disk, Error handling in Hard disk in computer archit...

Error handling in Hard disk in computer architecture : Modern drives also make widespread use of Error Correcting Codes (ECCs), specifically Reed-Solomon error correction.

Basic performance equation, Explain the basic performance equation Ans...

Explain the basic performance equation Ans: The basic performance equation is following T = N * S/ R T =>  It is processor time required to execute a program N => act

Menu driven program with following menu, Q.  Develop a Menu driven program ...

Q.  Develop a Menu driven program with following menu: 1.  Gray code 2.  BCD 3.  Excess-3 code 4.  Exit I/P must be a valid Binary number. Fractional numbers are all

Break keys, Like a normal read, your input should break on the new line cha...

Like a normal read, your input should break on the new line character "\n"   and also on the up and down arrow keys. You will process the input made by the user when he/she enters

What are assembly attributes, Attributes are declarative tags in code that ...

Attributes are declarative tags in code that put in additional metadata into an assembly.

Describe the concept of aggregation, Aggregation Aggregation is a spec...

Aggregation Aggregation is a special form of association that models the "part-whole" or "a-part-of" relationship as an aggregate (the whole) and parts. The most important pro

Determine how simulation can be developed, Determine how Simulation can be ...

Determine how Simulation can be developed To determine how a simulation can be developed for use in a real situation the below illustration has been chosen. Scenario chosen is

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