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last updated May 21, 1998 
 
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Example Two:  North Atlantic Separation Minima Specification and Analysis 

What is the “Separation Minima” for NAT?   
This example is based on the third edition (effective December 1992) of a document titled "Application of Separation Minima (North Atlantic Region)", a specification published by Transport Canada on behalf of the International Civil Aviation Organization (ICAO) (http://www.CAM.ORG/~icao/).
The separation minima provides guidance to air traffic controllers managing the region of oceanic airspace between Europe and North America. It is also used as the basis for the development of software based systems that support the management of air traffic in the NAT region. 

What did formalWARE do with the “separation minima” specification? 
This application of formal methods involved the formalization of the separation minima based on a description provided in a source document. 

What methods did formalWARE use? 
As part of her Ph.D. thesis research, Nancy Day, has developed a tabular style of specification that can be integrated with the S notation. In collaboration with Hughes personnel, she used this style of specification to create formal representations of predicates and functions which collectively specify the minimum required separation (given as either a measurement of distance, degrees of latitude, or time) between aircraft operating in the NAT region. MDA personnel also contributed to early stages of this work. In addition to developing a formal representation of this separation minima, Day has used this application to motivate development of a software tool which performs several automated analysis functions such as "completeness checking". 

The results of this work are presented in  "Formalization and Analysis of the Separation Minima for Aircraft in the North Atlantic Region" and  " Formalization and Analysis of the Separation Minima for Aircraft in the North Atlantic Region: Complete Specifications and Analysis Results."  

Please also see Nancy's presentation at the NASA Langley Formal Methods Workshop.