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

Interfacing subroutines with parameter passing, Interfacing Subroutines wit...

Interfacing Subroutines with Parameter Passing Let's now write a C program which calls the assembly program for parameter passing. Let's extend the previous two programs such t

Grid computing, Grid Computing means applying the resources of a lot of com...

Grid Computing means applying the resources of a lot of computers in a network simultaneously to a one problem for solving a scientific or a technical problem that needs a large nu

Efficiency of vector processing over scalar processing, Efficiency of Vecto...

Efficiency of Vector Processing over Scalar Processing As we know a serial computer processes single scalar operands at a time. So if we have to process a vector of length 'n'

Describe the concepts of information systems delivery cycle, Write a 2-3 pa...

Write a 2-3 page paper (excluding title, abstract, introduction, and references) describing the concepts of the Information Systems Delivery Cycle (SDLC) and how the Project Manage

Find the simplified function, Q. F' (A, B, C, D) = (A + B + D')(A + C' + D'...

Q. F' (A, B, C, D) = (A + B + D')(A + C' + D')(A + B' + C')        D' (A, B, C, D) = (A + B' + C + D')(A' + C' + D')(A' + B + D)        Find the simplified function F and imple

Why smtp used as transfer protocol for web pages, Can SMTP be used as trans...

Can SMTP be used as transfer protocol for Web pages? Why? SMTP is an easy mail transfer protocol. This uses ASCII text for all communications. SMTP needs reliable delivery- the

Illustrate diffrent types of modems, Q. Illustrate Diffrent types of modems...

Q. Illustrate Diffrent types of modems? There are four different types of modems: half-duplex, full-duplex, synchronous, and asynchronous.With half-duplex modems data can be tr

What is core dump, Raises when accessing an unassigned memory location acce...

Raises when accessing an unassigned memory location accessing a null pointer

C, "Super ASCII", if it contains the character frequency equal to their asc...

"Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the ascii values will starts from

Including the titles, Your company is planning a party for employees, and y...

Your company is planning a party for employees, and you have been asked to set up a spreadsheet to track the attendees and to measure the associated cost. Every employee is permitt

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