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

Explain cocomo model, A COCOMO model is :- COCOMO:- Constructive Cost Es...

A COCOMO model is :- COCOMO:- Constructive Cost Estimation Model.

Posix threads and mutex, The objective of this practical assignment is to u...

The objective of this practical assignment is to use the POSIX environment to write a program that simulates the supply and demand between three processes: warehouse, factory and r

Show the layout of dvorak-dealey keyboard, Q. Show the layout of Dvorak-Dea...

Q. Show the layout of Dvorak-Dealey keyboard? This was one keyboard layout designed to be a challenger to QWERTY layout. This was designed by August Dvorak and William Dealey a

Truth tables - artificial intelligence, Truth Tables - artificial intellige...

Truth Tables - artificial intelligence: In propositional logic, where we are limited to expressing sentences where propositions are true or false - we can check whether a speci

Explain about associative memory organisations, Q. Explain about Associativ...

Q. Explain about Associative Memory Organisations? The associative memory is arranged in w words with b bits per word. In w x b array, every bit is known as a cell. Every cell

Data can be moved using a ''write:'' statement, Data can be moved from one ...

Data can be moved from one field to another using a 'Write:' Statement and stored in the desired format.  Write: Date_1 to Date_2 format DD/MM/YY.

Weighted-average under perpetual inventory procedure, Q. Weighted-average u...

Q. Weighted-average under perpetual inventory procedure? Weighted-average under perpetual inventory procedure in perpetual inventory procedure firms calculate a new weighted-av

Describe the micro programmed control unit in detail, Describe the micro pr...

Describe the micro programmed control unit in detail. A micro programmed control unit is built around a storage unit is known as a control store where all the control signals a

Generation of erp products, 1. How does this new generation of ERP products...

1. How does this new generation of ERP products differ from traditional solutions? 2. What are the major external forces driving competition in the ERP industry? Cloud comput

Describe about analysis, Analysis describes about the logical and statistic...

Analysis describes about the logical and statistical analysis needed for an efficient output. This involves writing of code and performing calculations, but most part of these lang

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