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Example for Class inclusion

Stated relationships

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Inferred relationships before the removal of redundant relationships

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Inferred relationships after the reduction

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For

Concept
ShowPartsterm
t12676007 |Fracture of radius|
, the relationship
Concept
ShowPartsterm
t363698007|Finding site|
 = 
Concept
ShowPartsterm
t299701004|Bone structure of radius and/or ulna|
is inherited from
Concept
ShowPartsterm
t65966004|Fracture of forearm|
, which is a redundant relationship because 
Concept
ShowPartsterm
t62413002|Bone structure of radius|
is a subtype of
Concept
ShowPartsterm
t299701004|Bone structure of radius and/or ulna|
. The relationship 
Concept
ShowPartsterm
t116676008|Associated morphology|
 = 
Concept
ShowPartsterm
t19130008|Traumatic abnormality|
is inherited from
Concept
ShowPartsterm
t429353004|Injury of radius|
, which is a redundant relationship because 
Concept
ShowPartsterm
t72704001|Fracture (morphologic abnormality)|
 is a subtype of
Concept
ShowPartsterm
t19130008|Traumatic abnormality|
.

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Example for Role inclusion

Stated relationships

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Inferred relationships before the removal of redundant relationship

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Inferred relationships after reduction

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For concept

Concept
ShowPartsterm
t7246002|Kidney biopsy|
, the relationship 
Concept
ShowPartsterm
t363704007|Procedure site|
Concept
ShowPartsterm
t64033007|Kidney structure|
is inherited from
Concept
ShowPartsterm
t118851004|Procedure on kidney|
, which is a redundant relationship to 
Concept
ShowPartsterm
t405813007|Procedure site - Direct|
Concept
ShowPartsterm
t64033007|Kidney structure|
because 
Concept
ShowPartsterm
t405813007|Procedure site - Direct|
is a subtype of
Concept
ShowPartsterm
t363704007|Procedure site|
. Because 
Concept
ShowPartsterm
t64033007|Kidney structure|
is a subtype of 
Concept
ShowPartsterm
t122489005|Urinary system structure|
and
Concept
ShowPartsterm
t82849001|Retroperitoneal compartment structure|
, the inherited relationships for 
Concept
ShowPartsterm
t405813007|Procedure site - Direct|
are also redundant.

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  • Attribute u is the same as or a subtype of t, and

  • D has a relationship to C via attribute s

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Example for property chain:

Stated relationships

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Inferred relationships before the removal of the redundant relationship

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Inferred relationships after reduction

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For

Concept
ShowPartsterm
t422453004|Product containing ethyl morphine|
, the relationship 
Concept
ShowPartsterm
t127489000|Has active ingredient|
Concept
ShowPartsterm
t373529000|Morphine|
 is inherited from
Concept
ShowPartsterm
t73572009|Product containing morphine|
. If the rule 1 for class inclusion was to apply, the relationships would not be considered as redundant because 
Concept
ShowPartsterm
t74905005|Ethylmorphine (substance)|
 is not a subconcept of 
Concept
ShowPartsterm
t373529000|Morphine (substance)|
.
Because 
Concept
ShowPartsterm
t74905005|Ethyl morphine|
 
Concept
ShowPartsterm
t738774007|Is modification of|
 
Concept
ShowPartsterm
t373529000|Morphine|
and property chain of 
Concept
ShowPartsterm
t127489000|Has active ingredient|
 and 
Concept
ShowPartsterm
t738774007|Is modification of|
 is a sub-property of 
Concept
ShowPartsterm
t127489000|Has active ingredient|
, the rule 2 actually compares the anonymous concepts for subsumption, i.e. 
Concept
ShowPartsterm
t127489000|Has active ingredient (attribute)|
 = 
Concept
ShowPartsterm
t373529000 |Morphine (substance)|
 with 
Concept
ShowPartsterm
t127489000|Has active ingredient|
 = 
Concept
ShowPartsterm
t74905005|Ethyl morphine|
. Therefore, the inherited relationship is redundant and can be removed from the NNF.  Their relationships and property chain can be demonstrated in the following diagram.

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