Strings made of left curly braces, Computer Engineering

Assignment Help:

In a logical system, a judgement is a statement that is either true or false. So far, you are most familiar with the type of judgement "A is true", which is often simply abbreviated as "A" when this is the only kind of judgement being considered. However, it is often benecial to define judgement forms in addition to "truth" to construct logics. For example consider the following truth concept "Set":

WFF's = {{,},',',0}, i.e., all strings made of left curly braces, right curly braces, commas, and 0's.
A WFF is true if it represents a valid set of strings of 0's, possibly with repeated elements, i.e. it is a comma separated list of strings of 0's surrounded by a pair of braces.

For example, the WFF {0; 000; 0; 00} is true, while each of the following WFFs are false: {0}, {0,} {0,,0} 0,00,000
It is possible to construct a sound and complete logic for this truth concept directly, however, it is perhaps more intuitive if we define the additional judgement forms "Number" and "List".

Axiom: 0 is a "Number".
Axiom: {} is a theorem.
Inference Rule: If x is a "Number", then x0 is a "Number".
Inference Rule: If x is a "Number", then x is a "List".
Inference Rule: If x is a "List" and y is a "List", then x, y is a "List".
Inference Rule: If x is a "List", then {x} is a theorem.
Prove that this logic is sound and complete for "Set"


Related Discussions:- Strings made of left curly braces

What is jmx architecture, JMX is based on a 3-level architecture:   ?...

JMX is based on a 3-level architecture:   ? The Probe level have the probes (known as MBeans) instrumenting the resources. Also known as the Instrumentation level. ? The A

Subprogram, create a stored procedure to debit a bank account user must ent...

create a stored procedure to debit a bank account user must enter account no. and amount to debited from account .the minimum balance in account should be 500. if the debited amoun

Neural network programming using matlab, I need the matlab basics for crea...

I need the matlab basics for creating and configuring a neural network with 2 hidden layers

Describe briefly how firewalls prevent network, Describe briefly how firewa...

Describe briefly how firewalls prevent network. A firewall is only a program or hardware device which filters the information coming via the Internet connection within your pr

Determine the importance of computer hardware, Determine the importance of ...

Determine the importance of computer Hardware Hardware forms the greatest asset of the company, but it reaches obsolescence very quickly. Normally, it is said that every six mo

Final year project, i want to make final year project in wireless.please he...

i want to make final year project in wireless.please help me to decide the topic???????

Purpose of pointer phrase in string command, The Purpose of POINTER phrase ...

The Purpose of POINTER phrase is to verify the leftmost position within receiving field where the first transferred character will be kept

What are two methods of modifying sap standard tables, What are two methods...

What are two methods of modifying SAP standard tables? Append Structures and Customizing Includes.

What are the steps followed in testing, What are the steps followed in test...

What are the steps followed in testing? i. Unit testing - The individual components are tested in this method of testing. ii. Module testing - Related collection of independ

What is rational administrator, Use the Rational Administrator to: * M...

Use the Rational Administrator to: * Make and manage projects. * Make a project under configuration management. * Make a project outside of configuration management.

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