Modus ponens rule, Computer Engineering

Assignment Help:

Modus ponens rule:

In fact the general format for the modus ponens rule is as follows: like if we have a true sentence that states the proposition A implies proposition B and we see that proposition A is true, where we can infer that proposition B is true. So the notation we use for this is as follows: 

(A→B, A)÷B

Hence it is an example of an inference rule. There is the comma above the line indicates both these things in our knowledge base so we see there the line stands for the deductive step. However, if we know there both the propositions above the line are true so we can deduce in which the proposition below the line is also true. In fact generally, an inference rule as

A ÷B

is sound  if we can be sure there that like A  entails B, i.e. B is true where A is true. In formally, there A entails B means such as if M is a model of A then M is also a model of B. Than we write this as

737_Other Equivalences1.png

After that this gives us a way to check the soundness of propositional inference rules: (i) draw up a logic table for both A and B estimating them for all models, other is (ii) check that where A is true and then B is also true. So here we don't care that about the models for which A is false.


Related Discussions:- Modus ponens rule

Basic operational concepts of a computer, Basic Operational Concepts of a C...

Basic Operational Concepts of a Computer: Most of computer operations are executed in the ALU (arithmetic and logic unit) of a processor. For an example: to add 2 numb

Explain the differences of casex and casez, Explain the differences of case...

Explain the differences of casex and casez over the case statement? casex operator has to be used when both high impedance value (z) and unknown (x) in any bit  has  to  be  t

Write short note on quantization, Write short note on Quantization. Qua...

Write short note on Quantization. Quantization: This is the first step in PCM. The whole amplitude range of the modulating signal is divided in a number of standard levels term

What are the main advantages of sound, Problem: (a) What are the two m...

Problem: (a) What are the two main advantages of sound? (b) UTMDigitlab ltd, specialized in digitizing sound, converts an audio stream of the latest album of Britney Spea

Explain about data segment, DATA SEGMENT  NUM1            DB      15h;...

DATA SEGMENT  NUM1            DB      15h;     First number   NUM2            DB      20h;     Second number  RESULT DB?  ; Put sum here  CARRY DB? ; Put any carry he

Explain the design reusability of verilog, Explain the Design reusability o...

Explain the Design reusability of Verilog There is no concept of packages in Verilog. Functions and procedures used within a model should be  defined  in  the  module.  To  mak

What are the application-oriented languages, What are the Application-orien...

What are the Application-oriented languages Application-oriented languages are highest level, meaning very easy to write and assembly languages are the lowest, meaning hardest

Arithmetic-logic section in computer system, Arithmetic-logic section in co...

Arithmetic-logic section in computer system: The   arithmetic-logic section performs arithmetic   operations, such subtraction, addition, multiplication, and division. Throug

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