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

Create simple algebraic expression from k-map, Q. Create simple algebraic e...

Q. Create simple algebraic expression from K-Map? Now create simple algebraic expression from K-Map. These expressions are created by employing adjacency if we have 2 adjacent

What is ternary association, What is ternary association Associations c...

What is ternary association Associations can be binary, ternary, or have higher order. In use, the vast majority of it is binary or ternary associations. Except a ternary assoc

Mathematical applications, The current 32 and 64 bit machines can represent...

The current 32 and 64 bit machines can represent integers of around 9 digits and 30 digits respectively, while various scientific and mathematical applications have to represent in

Data parallel model - parallel programming model, In the data parallel mode...

In the data parallel model, many of the parallel work focus on performing operations on a data set. The data set is usually organized into a common structure, such as an array or a

Explain about multidimensional features present in olap, Multidimensional s...

Multidimensional support is very necessary if we are to contain multiple hierarchies in our data analysis. Multidimensional feature permits a user to examine business and organizat

What are two reasons for using layered protocol, What are two reasons for u...

What are two reasons for using layered protocol? Layered protocol implies protocols used into each layer are the layer's own business that is they don't influence protocol of a

Discrete mathmetics and structures, how to prove the partial order R is a t...

how to prove the partial order R is a total order in discrete mathmetics and structures by topological sorting method in c programming

Explain multiple instruction and single data stream (misd), Multiple Instru...

Multiple Instruction and Single Data stream (MISD): In this type of organization multiple processing elements are ordered under the control of multiple control units. Every contro

Illustration of disk formatting, Q. Illustration of disk formatting? An...

Q. Illustration of disk formatting? An illustration of disk formatting is displayed in Figure below. In this case every track comprises 30 fixed-length sectors of 600 bytes eac

State in brief about polymorphism, State in brief about Polymorphism C...

State in brief about Polymorphism Class hierarchy is the deciding feature in the case of more than one implementation of properties. An object oriented program to compute the

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