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

two arguments are passed, The velocity of sound in air is 49.02 feet p...

The velocity of sound in air is 49.02 feet per second where is the air temperature in degrees Rankine.  Write a function to execute this.  If just 1 argument is passed to the f

Give explanation about stored program control, Give explanation about Store...

Give explanation about Stored Program Control. Stored Program Control: In this centralized control, all the control equipment is replaced through a single processor that must

Explain branch instruction with control signals, Explain BRANCH instruction...

Explain BRANCH instruction with Control Signals. and explain SHIFT instruction with Control Signals.  Explain Register Transfer Language. What do you mean by Addressing Techn

Combining logic gates - boolean algebra, More complicated logic circuits ca...

More complicated logic circuits can be made byconnecting a number of simple logic gates.How do we decide how to connect the gates togive a particular function e.g. output Y?We need

Algorithmic complexity theory, Algorithmic Complexity theory: Moreover...

Algorithmic Complexity theory: Moreover a similar situation occurs in broad to specific ILP systems when the inference rules are deductive thus they specialize. So at some sta

Is the process before and after the swap are the same, Is the Process befor...

Is the Process before and after the swap are the same? Give reason. Process before swapping is residing in the primary memory in its original form. The regions (text, data and

Advantages and disadvantages of e-commerce, E-commerce is one of the most s...

E-commerce is one of the most significant aspects of the internet. Having emerged recently and growing at a steady state, it becomes essential to look at the advantages and disadva

How would you kill a process, How would you kill a process? The "kill" ...

How would you kill a process? The "kill" command takes the PID as one argument; this signifies which process to terminate. The PID of a process can be got using "ps" command

DBMS, DEFINE FILE ORGANISATION

DEFINE FILE ORGANISATION

Flowchart, flow chart for ''sin x'' as sum of serie

flow chart for ''sin x'' as sum of serie

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