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This section briefly outlines different aspects of assertions made about concepts and the extent to which they are necessarily true or form part of a sufficient definition of the concept.  More detailed illustrations of some of the points on this page are provided in D.2 Necessary and Sufficient - Examples.

Excerpt

Assertions

The 

Gloss
tstated view
 of 
Gloss
tconcept definition
 consists of one or more assertions made by 
Gloss
tSNOMED CT authors

Necessary Conditions

Each time an assertion is made about a concept, an 

Gloss
tauthor
 must decide if that assertion is a 
Gloss
tnecessary condition
.  If the assertion is always true for that concept and its 
Gloss
tsubtypes
, it is a 
Gloss
tnecessary condition
.

  • This implies that for all instances of that concept or its subtypes, the assertion must be true, even if it has not been explicitly stated.

A

Gloss
Spacetrue
tconcept
definition has one of the following two forms:

Sufficiently Defined

Glossary include
Glosssufficiently defined concept
Suffix is
Definline
Exampletrue
Notetrue
Prefix A

...

Gloss
Spacetrue
tpostcoordinated expression

...

Gloss
Spacetrue
tsubtype

...

Gloss
tconcept.

...


Glossary include
Gloss

...

necessary condition
Suffix is defined as
Definline
Exampletrue

...

Necessary Conditions

...

Prefix A

Sufficient Definitions

For each 

Gloss
tconcept
 an 
Gloss
tauthor
 must decide if there are one or more sets of assertions that form a 
Gloss
tsufficient definition
 of that concept. A set of assertions is a 
Gloss
tsufficient definition
 if it distinguishes a 
Gloss
tconcept
 and its subtypes from other concepts. 

  • This implies that if all assertions in the set are true for a concept, it must be an instance of the defined concept or a subtype of that concept.

Glossary include
Gloss

...

sufficient definition
Suffix is

...

Definline
Exampletrue
Notetrue
PrefixA

Sufficient Sets of Conditions

In practice there can be several sufficient definitions for a concept. That is to say several different ways in which a concept could be sufficiently defined by different sets of

Gloss
Spacetrue
tdefining relationships
For example:

Gastric ulcer is defined as follows:

Scg expression
397825006|gastric ulcer| 
===	 116680003 |is a| = 64572001 |disease| 
	    { 116676008 |associated morphology| = 56208002 |ulcer| , 
	    363698007 |finding site| =69695003 |stomach structure| }

This is a sufficient definition because any

Concept
t56208002|ulcer|
ShowFormatinline
in a
Concept
t69695003|stomach structure|
ShowFormatinline
is by definition a
Concept
t397825006|gastric ulcer|.
ShowFormatinline
Based on this definition:

Any

Gloss
Spacetrue
tpostcoordinated expression
that specified a disease involving an
Concept
t56208002|ulcer|
ShowFormatinline
with
Concept
t363698007|finding site|
ShowFormatinline
Concept
t69695003|stomach structure|
ShowFormatinline
would be equivalent to or a
Gloss
Spacetrue
tsubtype
of
Concept
t397825006|gastric ulcer|
 

However, a query for all disorders involving

Concept
t78653002|gastric mucosa|
ShowFormatinline
would incorrectly exclude
Concept
t397825006|gastric ulcer|
ShowFormatinline
as the site is specified as
Concept
t78653002|gastric mucosa|
ShowFormatinline
which is more specific than
Concept
t69695003|stomach structure|.
ShowFormatinline
In reality there is another sufficient set defining relationships

...

Concept
t363698007|finding site|

...

Concept
t78653002|gastric mucosa|
ShowFormatinline

...

Concepts with no Sufficient Definitions

Gloss
tconcept
 that has no 
Gloss
tsufficient definitions
 is a 
Gloss
tprimitive concept

Because 

Gloss
tprimitive concepts
 have no 
Gloss
tsufficient definitions
 it is not possible for a 
Gloss
tdescription logic classifier
 to determine if other concepts are 
Gloss
tsubtypes
 of this concept. Similarly, it is not possible to automatically determine whether an expression is a subtype of a primitive concept. Therefore, only concepts or expressions that explicitly state they are subtypes of primitive concepts will be treated as subtypes when applying expression constraints or undertaking analysis. 

However, note that this does not prevent a 

Gloss
tprimitive concept
 being classified as a subtype of a 
Gloss
tsufficiently defined concept

Concepts with a Sufficient Definition

Gloss
tconcept
 that has at least one 
Gloss
tsufficient definition
 is a 
Gloss
tsufficiently defined concept

Gloss
tdescription logic classifier
 can determine whether the stated definitions of other concepts meet at least one of the 
Gloss
tsufficient definitions
 and if so will classify these concepts as its 
Gloss
tsubtypes
. Similarly, it is possible to determine whether an expression is equivalent to or a subtype of a 
Gloss
tsufficiently defined concept
. Therefore, where expression constraints or queries refer to 
Gloss
tsufficiently defined concepts
 the results will include the inferred subtypes of these concepts.

Sufficiently Defined Concepts with Necessary Conditions

If a 

Gloss
tsufficiently defined concept
has one or more additional 
Gloss
tnecessary conditions
 then any concept or expression that satisfies one of its 
Gloss
tsufficient definitions
 will also inherit any 
Gloss
tnecessary conditions
.

For example one sufficient definition of

Concept
t397825006 |Gastric ulcer (disorder)|
is an ulcer in a stomach structure:

Scg expression
==
Scg expression
397825006|gastric ulcer| === 116680003 |is a|
= 64572001 |disease| 
: 
{ 116676008 |associated morphology| = 56208002 |ulcer| , 
	    363698007 |finding site| = 
78653002
69695003 |
gastric
stomach 
mucosa
structure| }

but this is not currently represented in SNOMED CT. The reason for this is that currently the profile of description logic used by SNOMED CT does not support representation of multiple sufficient sets. 

When multiple sufficient sets are supported, satisfying a single sufficient set enables an inference to be made that all necessary conditions must also be true. For example

However, another definition could be created with a more specific site gastric mucosa:

Scg expression
=== 64572001 |disease|: { 116676008 |associated morphology| = 56208002 |ulcer| , 
	    363698007 |finding site| = 78653002|gastric mucosa| }

In both cases these definition are equivalent to 

Concept
t397825006 |

...

Gastric ulcer

...

  • This is true because all gastric ulcers necessarily involve the

    Concept
    t78653002|gastric mucosa|

The definition

Concept
t116676008|morphology|
=
Concept
t56208002|ulcer|
ShowFormatinline
and
Concept
t363698007|finding site|
=
Concept
t69695003|stomach structure|
ShowFormatinline
is a sufficient definition for
Concept
t397825006|gastric ulcer|
:

...

(disorder)|
. The more general definition is flexible when it comes to allowing refinement to a specific location of the ulcer within the stomach, which is actually useful information. It also avoids requiring an expression to refer specifically to the mucosa (stomach lining), which is where all gastric ulcers occur.

For example, an expression including the specific location could look like this

Scg expression
=== 64572001 |disease| : { 116676008 |associated morphology| = 56208002 |ulcer| , 
	    363698007 |finding site| = 127869006 |Anterior wall of fundus of stomach| }

This satisfies the sufficient definition because the finding site is a subtype of stomach structure. This will therefore classify as a type of 

Concept
t397825006 |

...

Gastric ulcer

...

Concept
t56208002|ulcer|
ShowFormatinline

...

Concept
t363698007|finding site|
ShowFormatinline
Concept
t69695003|stomach|
ShowFormatinline

...

(disorder)|
 located in the anterior wall of the gastric fundus. The problem is that a query for disorders of the gastric mucosa will not find this expression.

Scg expression
<< 64572001 |disease|: 363698007 |finding site| = 78653002|gastric mucosa|

However, adding the definition that refers to the gastric mucosa as an additional 

Gloss
tnecessary condition
 can solve this problem. The expression satisfies the 
Gloss
tsufficient definition
 implying this is a type of 
Concept
t397825006 |

...

Gastric ulcer (disorder)|

...

. The fact that it is a type of gastric ulcer causes it to inherit 

Concept
t

...

Concept
t69695003|stomach|
ShowFormatinline

...

363698007 |finding site| = 78653002|gastric mucosa|

...

 so it will now be included in the query for disease in the gastric mucosa.