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

Syntax and semantics - first-order logic, Syntax and Semantics: Propos...

Syntax and Semantics: Propositional logic is prohibited in its expressiveness: so just to represent true and false facts for the world. By a type of extending propositional lo

Editor - tools necessary for assembly language programming, Q. Editor - Too...

Q. Editor - Tools necessary for assembly language programming? The editor is a program which allows the user to enter and modify as well as store a group of instructions or tex

Explain a macro, Explain a macro Macro is a preprocessor directive, als...

Explain a macro Macro is a preprocessor directive, also called as macro definition takes the following general form:  #define identifier string

Execution of a full instruction - computer architecture, Execution of a ful...

Execution of a full Instruction: Regard as the instruction: Add (R3), R1 Executing this particular instruction needed the below described actions: a) Fetch the

Including the titles, Your company is planning a party for employees, and y...

Your company is planning a party for employees, and you have been asked to set up a spreadsheet to track the attendees and to measure the associated cost. Every employee is permitt

Explain is cgi a script or a program, The distinction is semantic. Traditio...

The distinction is semantic. Traditionally, compiled executables (binaries) are known as programs, and interpreted programs are usually known as scripts. In the context of CGI, the

Discuss different routing plan adopted in telephone network, Discuss differ...

Discuss different Routing plan adopted in a Telephone network. Hierarchical networks are able of handing heavy traffic where needed, and at similar time use minimal number of t

Communication between memory and the processor, How are instructions sent b...

How are instructions sent between memory and the processor? Both the instruction pointer (IP) and program counter (PC) utilized to holds the memory address of the next inst

Explain what are design patterns, Design Patterns are easy and elegant solu...

Design Patterns are easy and elegant solutions of commonly having problems in software design. Design Patterns make it simpler to reuse successful designs and architectures of expe

Strategy used for the project design, This project is divided to two parts ...

This project is divided to two parts (hardware and software) each with is subtask and consideration was given in all areas in order to meet the target specification. Solutions are

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