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

Marked statement is implemented , Consider the ReadRear Java method (a)...

Consider the ReadRear Java method (a) Illustrate pictures that explain the data structure every time a checkpoint is reached for the problems of sizes one, two, three and four s

Illustrate logical data processing instructions, Q. Illustrate logical Data...

Q. Illustrate logical Data Processing Instructions? AND, OR, NOT, XOR operate on binary data stored in registers. For illustration if two registers comprises data:   R1 = 10

Python, When investing money, an important concept to know is compound inte...

When investing money, an important concept to know is compound interest. The equation FV = PV (1+rate)periods . This relates the following four quantities. The present value (PV)

Disadvantages of mpi, Disadvantages of MPI  Performance is restric...

Disadvantages of MPI  Performance is restricted by communication network between the nodes It can be harder to debug Needs more programming changes to go from seri

Name the four steps in pipelining, Name the four steps in pipelining. F...

Name the four steps in pipelining. Fetch  : Read the instruction from the memory. Decode : Decode the instruction and get the source operand. Execute : Perform the operat

Enum statement differ from a typedef statement, How does an enumstatement d...

How does an enumstatement differ from a typedef statement? Typedef statement permits user to define an identifier that would show an exiting data type. The user-defined data

Computer Architecture, As an advocate of CISC architecture to RISC architec...

As an advocate of CISC architecture to RISC architecture, what are the merits and demerits of CISC to RISC architecture

Character and string processing instructions, Character and String Processi...

Character and String Processing Instructions: String manipulation usually is done in memory. Possible instructions comprise COMPARE STRING, COMPARE CHARACTER, MOVE STRING and MOVE

Call the masm procedure, Assignment:  write a C program and a MASM procedur...

Assignment:  write a C program and a MASM procedure.  The C program calls the MASM procedure to perform letter case conversion. Text sections covered:  12.1 to 12.3.1 Write a

How e-commerce works for the shop owner, E-commerce is working in tandem wi...

E-commerce is working in tandem with the real shop and if all the products are online running the e-commerce shop is becoming simpler. Owner log in on the special admin side of the

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