Sound and complete, Computer Engineering

Assignment Help:

Dictator Dim wants to replace counting, in particular, counting the population of his land. To keep an accurate population count, Dictator Dim has instructed his secretary to add one + symbol to a record each time a citizen is born, and one - symbol to the record whenever a citizen dies. This has been going on ever since his rule began.

Dictator Dim is not concerned so much with the actual total population of his lands, just with the net change in population since his rule began. He would be forever disgraced if the net population change were ever negative. Refusing to solve this problem by counting, Dictator Dim instructs his secretary to find a sound and complete logic for the subset of all records that would not disgrace him.
More formally, define the following truth concept WFF's = {+; -}, i.e., all strings composed of only plus and minus symbols.
A WFF x is true if every prefix of x contains at least as many + symbols as - symbols.

Find a logic for this truth concept by proving that it is sound and complete. Hint: it may help to define additional judgement form(s)


Related Discussions:- Sound and complete

Binary equivalent of the decimal number 368 , What is the binary equivalent...

What is the binary equivalent of the decimal number 368 ? Ans. 101110000 is the Binary equivalent of the Decimal number 368. From Decimal number to Binary number conversioni

Exception handling and recursion, In the previous assignment, you implement...

In the previous assignment, you implemented a stack and a list that both inherited from the abstract class ArrayIntCollection. In this task you are supposed to extend that implemen

How enterprises are using bpr in their e-business processes, One of the mos...

One of the most important competitive strategies for E-Businesses today is business process reengineering. BPR is more than automating business processes to make modest improvement

What makes a circuit ''digital''?, All digital devices are made from circui...

All digital devices are made from circuits whichcan be switched between two possible states.These two states are represented by a voltagelevel at the output of the circuit e.g. 0V

Illustrate about sharing of structure and behaviour, Illustrate about Shari...

Illustrate about Sharing of Structure and Behaviour  One of the reasons for the popularity of object-oriented techniques is that they promote sharing at different levels. Inher

How can we decrement and increment operations, How can we decrement and in...

How can we decrement and increment  operations We  can  implement decrement  and increment  operations  by  using  a  combinational circuit  or  binary  down/up counters.  In

Illustrate why does a tea kettle sing, Q. Illustrate why does a tea kettle ...

Q. Illustrate why does a tea kettle sing? Answer:- There is a little attachment with a hole in it which acts as a whistle. It is inserted into the spout of the kettle as w

Visibility, hidden edge/surface removal

hidden edge/surface removal

First in first out method, The First In First Out method assumes items of s...

The First In First Out method assumes items of stocks are issued in the same order as they are received. Thus the goods received first are assumed to be the first to be issued .Any

What do you mean by software poll, Q. What do you mean by Software Poll? ...

Q. What do you mean by Software Poll? In this scheme on occurrence of an interrupt, processor jumps to an interrupt service program or routine whose job is to poll (roll call

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