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

Java database connectivity, Java Database Connectivity (JDBC) With two...

Java Database Connectivity (JDBC) With two different types of technologies available in the market today viz., the Windows and the Java technologies developed by the Microsoft

What is a scope resolution operator, A scope resolution operator (::), can ...

A scope resolution operator (::), can be used to describe the member functions of a class outside the class.

Automated injection, There are tools to automate the process of SQL Injecti...

There are tools to automate the process of SQL Injection into login and other fields. One hacker process, using a one tool, will be to search out a number of weak targets using Goo

What is asynchronous dram, What is asynchronous DRAM? In asynchronous D...

What is asynchronous DRAM? In asynchronous DRAM, the timing of the memory device is controlled asynchronously. A specialized memory controller circuit gives the essential contr

Hill climbing - artificial intelligence, Hill Climbing - Artificial Intelli...

Hill Climbing - Artificial Intelligence: As we've seen, in some problems, finding the search path from primary to goal state is the point of the exercise. In other problems, t

What is the future in mq if i have 2+exp, It speeds execution of distribute...

It speeds execution of distributed applications. It runs on dissimilar platforms. It time independent. No loss for msg delivery i.e. guarantee delivery.

What is system conception, What is system conception? It deals with gen...

What is system conception? It deals with genesis of an application and formulating tentative needs. The purpose of the system conception is to defer details and understand what

Explain simplifying the sop boolean expression using k-map, Explain Simplif...

Explain Simplifying the SOP f the Boolean expression using the K-Map? To simplify the SOP of the Boolean expression using the K map, first identify all the input combinations tha

Discuss in detail the subscriber loop systems, Discuss in detail the subscr...

Discuss in detail the subscriber loop systems. Subscriber Loop System: Every subscriber in a telephone network is linked usually to the nearest switching office by means of w

What is control panel, A system utility that comes with Windows that permit...

A system utility that comes with Windows that permits the use to change a variety of dissimilar Windows and system settings.

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