<s>
In	O
artificial	B-Application
intelligence	I-Application
and	O
related	O
fields	O
,	O
an	O
argumentation	B-General_Concept
framework	I-General_Concept
is	O
a	O
way	O
to	O
deal	O
with	O
contentious	O
information	O
and	O
draw	O
conclusions	O
from	O
it	O
using	O
formalized	O
arguments	O
.	O
</s>
<s>
In	O
an	O
abstract	O
argumentation	B-General_Concept
framework	I-General_Concept
,	O
entry-level	O
information	O
is	O
a	O
set	O
of	O
abstract	O
arguments	O
that	O
,	O
for	O
instance	O
,	O
represent	O
data	O
or	O
a	O
proposition	O
.	O
</s>
<s>
In	O
concrete	O
terms	O
,	O
you	O
represent	O
an	O
argumentation	B-General_Concept
framework	I-General_Concept
with	O
a	O
directed	O
graph	O
such	O
that	O
the	O
nodes	O
are	O
the	O
arguments	O
,	O
and	O
the	O
arrows	O
represent	O
the	O
attack	O
relation	O
.	O
</s>
<s>
There	O
exist	O
some	O
extensions	O
of	O
the	O
Dung	O
's	O
framework	O
,	O
like	O
the	O
logic-based	O
argumentation	B-General_Concept
frameworks	I-General_Concept
or	O
the	O
value-based	O
argumentation	B-General_Concept
frameworks	I-General_Concept
.	O
</s>
<s>
Abstract	O
argumentation	B-General_Concept
frameworks	I-General_Concept
,	O
also	O
called	O
argumentation	B-General_Concept
frameworks	I-General_Concept
à	O
la	O
Dung	O
,	O
are	O
defined	O
formally	O
as	O
a	O
pair	O
:	O
</s>
<s>
Indeed	O
,	O
Caminada	O
proved	O
that	O
the	O
reinstatement	O
labellings	O
and	O
the	O
complete	O
extensions	O
can	O
be	O
mapped	O
in	O
a	O
bijective	B-Algorithm
way	O
.	O
</s>
<s>
There	O
exists	O
several	O
criteria	O
of	O
equivalence	O
between	O
argumentation	B-General_Concept
frameworks	I-General_Concept
.	O
</s>
<s>
:	O
two	O
argumentation	B-General_Concept
frameworks	I-General_Concept
are	O
equivalent	O
if	O
they	O
have	O
the	O
same	O
set	O
of	O
-extensions	O
,	O
that	O
is	O
;	O
</s>
<s>
:	O
two	O
argumentation	B-General_Concept
frameworks	I-General_Concept
are	O
equivalent	O
if	O
they	O
accept	O
skeptically	O
the	O
same	O
arguments	O
,	O
that	O
is	O
;	O
</s>
<s>
:	O
two	O
argumentation	B-General_Concept
frameworks	I-General_Concept
are	O
equivalent	O
if	O
they	O
accept	O
credulously	O
the	O
same	O
arguments	O
,	O
that	O
is	O
.	O
</s>
<s>
In	O
the	O
case	O
of	O
logic-based	O
argumentation	B-General_Concept
frameworks	I-General_Concept
,	O
an	O
argument	O
is	O
not	O
an	O
abstract	O
entity	O
,	O
but	O
a	O
pair	O
,	O
where	O
the	O
first	O
part	O
is	O
a	O
minimal	O
consistent	O
set	O
of	O
formulae	O
enough	O
to	O
prove	O
the	O
formula	O
for	O
the	O
second	O
part	O
of	O
the	O
argument	O
.	O
</s>
<s>
Given	O
a	O
particular	O
attack	O
relation	O
,	O
one	O
can	O
build	O
a	O
graph	O
and	O
reason	O
in	O
a	O
similar	O
way	O
to	O
the	O
abstract	O
argumentation	B-General_Concept
frameworks	I-General_Concept
(	O
use	O
of	O
semantics	O
to	O
build	O
extension	O
,	O
skeptical	O
or	O
credulous	O
inference	O
)	O
,	O
the	O
difference	O
is	O
that	O
the	O
information	O
inferred	O
from	O
a	O
logic	O
based	O
argumentation	B-General_Concept
framework	I-General_Concept
is	O
a	O
set	O
of	O
formulae	O
(	O
the	O
consequences	O
of	O
the	O
accepted	O
arguments	O
)	O
.	O
</s>
<s>
The	O
value-based	O
argumentation	B-General_Concept
frameworks	I-General_Concept
come	O
from	O
the	O
idea	O
that	O
during	O
an	O
exchange	O
of	O
arguments	O
,	O
some	O
can	O
be	O
stronger	O
than	O
others	O
with	O
respect	O
to	O
a	O
certain	O
value	O
they	O
advance	O
,	O
and	O
so	O
the	O
success	O
of	O
an	O
attack	O
between	O
arguments	O
depends	O
on	O
the	O
difference	O
of	O
these	O
values	O
.	O
</s>
<s>
Formally	O
,	O
a	O
value-based	O
argumentation	B-General_Concept
framework	I-General_Concept
is	O
a	O
tuple	O
with	O
and	O
similar	O
to	O
the	O
standard	O
framework	O
(	O
a	O
set	O
of	O
arguments	O
and	O
a	O
binary	O
relation	O
on	O
this	O
set	O
)	O
,	O
is	O
a	O
non	O
empty	O
set	O
of	O
values	O
,	O
is	O
a	O
mapping	O
that	O
associates	O
each	O
element	O
from	O
to	O
an	O
element	O
from	O
,	O
and	O
is	O
a	O
preference	O
relation	O
(	O
transitive	O
,	O
irreflexive	O
and	O
asymmetric	O
)	O
on	O
.	O
</s>
<s>
As	O
a	O
consequence	O
of	O
defining	O
an	O
ABA	O
,	O
an	O
argument	O
can	O
be	O
represented	O
in	O
a	O
tree-form	B-Application
.	O
</s>
