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

What are modes of operation of centralized spc, What are modes of operation...

What are modes of operation of centralized SPC? In about all the present day electronic switching systems utilizing centralized control, only a two-processor configuration is

Boolean expression derived from this k-map, Let us see the pairs that can b...

Let us see the pairs that can be considered as adjacent in Karnaugh's here. The pairs are:  1)  The four corners  2)  The four 1's as in top and bottom in column 00 & 01

Explain the resources of an operating system, Explain the resources of da...

Explain the resources of data structure is used by an operating system to keep track of process information? Explain A process is a program in execution. An operating system

Principle of locality of reference, Problem: (a) What do you understand...

Problem: (a) What do you understand by the principle of locality of reference and explain how this is exploited in cache design. (b) Consider a 32-bit microprocessor that h

Initialize new pvm processes, Q. Initialize new PVM processes? pvm_spa...

Q. Initialize new PVM processes? pvm_spawn( char *task, char **argv, int flag, char *where, int ntask, int *tids ) Initialize new PVM processes. Task a character st

Task information displays in search-based tools, Q. Task Information Displa...

Q. Task Information Displays in Search-based tools? Task Information Displays principally give visualization of different locations in parallel program where bottlenecks have o

Describe language processing activities, Describe language processing activ...

Describe language processing activities? There are two different kinds of language processing activities: a. Program generation activities b. Program execution activities

What is the advantage of running the vuser as thread, VuGen gives the facil...

VuGen gives the facility to use multithreading. This enables more Vusers to be run pergenerator. If the Vuser is run as a process, the similar driver program is loaded into memory

Bresenham''s line drawing algorithm, what are advantages and disadvantages ...

what are advantages and disadvantages of bresenham''s line drawing algorithm?

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