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

Determine the advantages of bcd adder, Determine the advantages of BCD Adde...

Determine the advantages of BCD Adder Now let us see the arithmetic addition of two decimal digits in the BCD, with a possible carry from previous stage. As each input digit do

Determine the sampling rate of nyquist criterion, As per Nyquist criterion ...

As per Nyquist criterion the sampling rate is (A) 2fs                                                  (B) (1/2)fs (C) (1/2fs)

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

Q.  Develop a Menu driven program with following menu: a.  Binary to Decimal b.  Binary to Octal c.  Binary to Hexadecimal d.  Exit (Put proper validation for input

What are the characteristics of the e-cash, What are the characteristics of...

What are the characteristics of the E-Cash? These kinds of payments, turning the Internet within a transaction oriented forum, need mediums which are easy and cheap (through a

Resource management techniques, a company has 4 machines to do 3 jobs.each ...

a company has 4 machines to do 3 jobs.each job can be assigned to one and only machine.determine the job assignments which will minimize the total cost

Reprography of information distribution, Reprography In order to dissem...

Reprography In order to disseminate information widely some method of reprography is invariably used. Reprography is the science and practice of copying documents by photograph

Explain logical shift micro-operations, Q. Explain logical shift Micro-oper...

Q. Explain logical shift Micro-operations? In logical shift data entering by serial input to left most or right most flip-flop (which depends on right or left shift operations

How a shift register can be used as a ring counter, Explain how a shift reg...

Explain how a shift register can be used as a ring counter giving the wave forms at the output of the flipflops. Ans: Shift Register as a Ring Counter: A Ring Counter is a

Explain multiple instruction and single data stream (misd), Multiple Instru...

Multiple Instruction and Single Data stream (MISD): In this type of organization multiple processing elements are ordered under the control of multiple control units. Every contro

Data structure, How does dynamic memory allocation help in managing data

How does dynamic memory allocation help in managing data

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