<s>
In	O
logic	O
,	O
a	O
conditional	B-Algorithm
quantifier	I-Algorithm
is	O
a	O
kind	O
of	O
Lindström	B-Algorithm
quantifier	I-Algorithm
(	O
or	O
generalized	O
quantifier	O
)	O
QA	O
that	O
,	O
relative	O
to	O
a	O
classical	O
model	O
A	O
,	O
satisfies	O
some	O
or	O
all	O
of	O
the	O
following	O
conditions	O
(	O
"	O
X	O
"	O
and	O
"	O
Y	O
"	O
range	O
over	O
arbitrary	O
formulas	O
in	O
one	O
free	O
variable	O
)	O
:	O
</s>
<s>
A	O
semantic	O
interpretation	O
of	O
conditional	B-Algorithm
quantifiers	I-Algorithm
involves	O
a	O
relation	O
between	O
sets	O
of	O
subsets	O
of	O
a	O
given	O
structure	O
—	O
i.e.	O
</s>
<s>
Some	O
of	O
the	O
details	O
can	O
be	O
found	O
in	O
the	O
article	O
Lindström	B-Algorithm
quantifier	I-Algorithm
.	O
</s>
<s>
Conditional	B-Algorithm
quantifiers	I-Algorithm
are	O
meant	O
to	O
capture	O
certain	O
properties	O
concerning	O
conditional	O
reasoning	O
at	O
an	O
abstract	O
level	O
.	O
</s>
