<s>
In	O
domain	O
theory	O
,	O
a	O
branch	O
of	O
mathematics	O
and	O
computer	B-General_Concept
science	I-General_Concept
,	O
a	O
Scott	B-Application
information	I-Application
system	I-Application
is	O
a	O
primitive	O
kind	O
of	O
logical	O
deductive	O
system	O
often	O
used	O
as	O
an	O
alternative	O
way	O
of	O
presenting	O
Scott	O
domains	O
.	O
</s>
<s>
The	O
return	O
value	O
of	O
a	O
partial	O
recursive	O
function	O
,	O
which	O
either	O
returns	O
a	O
natural	O
number	O
or	O
goes	O
into	O
an	O
infinite	O
recursion	O
,	O
can	O
be	O
expressed	O
as	O
a	O
simple	O
Scott	B-Application
information	I-Application
system	I-Application
as	O
follows	O
:	O
</s>
<s>
The	O
propositional	O
calculus	O
gives	O
us	O
a	O
very	O
simple	O
Scott	B-Application
information	I-Application
system	I-Application
as	O
follows	O
:	O
</s>
