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

Implementing recursive function the data structure, For executing recursive...

For executing recursive function the data structure used is: For executing recursive function, stack is used as a data structure.

Navigation to a subsequent screen, Navigation to a subsequent screen can be...

Navigation to a subsequent screen can be specified statically/dynamically Yes, navigation to a subsequent screen can be specified statically.

Code density and smaller faster programs, Q. Code Density and Smaller Faste...

Q. Code Density and Smaller Faster Programs? Memory was very expensive in older computer. So there was a need of less memory utilization, which is it was cost effective to have

Planning too much up front a mistake in an oosad, You can't plan only for t...

You can't plan only for the present phase of the project as your future activities are still coarse granular. To have good planning you require to have fine granularity w.r.t the t

Should validation occur server-side or client-side, Should validation (did ...

Should validation (did the user enter a real date) occur server-side or client-side? Why? Validation will be done in both sides i.e., at the server side and client side. Ser

Why is the data bus in most microprocessors bidirectional, Why is the data ...

Why is the data bus in most microprocessors bidirectional while the address bus is unidirectional?  Data Bus:  These lines are used to send data to memory by output ports and

Illustrate processor arrangements, Q. Illustrate processor arrangements? ...

Q. Illustrate processor arrangements? HPF$ PROCESSORS P2 (4, 3) !HPF$ TEMPLATE T2 (17, 20) !HPF$ DISTRIBUTE T2 (BLOCK, *) ONTO P1 Means that first dimension of T2 woul

Analysis the pc configuration, 1) Identify the software needs of each PC an...

1) Identify the software needs of each PC and whether or not anything needs to change. a. State the changes that you would make (and why) b. If no "change" needs to be made b

Cg, raster scan display system

raster scan display system

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