<s>
Alt-Ergo	B-Language
is	O
an	O
automatic	O
solver	O
for	O
mathematical	O
formulas	O
,	O
specifically	O
designed	O
for	O
program	O
verification	O
.	O
</s>
<s>
It	O
is	O
based	O
on	O
satisfiability	B-Application
modulo	I-Application
theories	I-Application
(	O
SMT	O
)	O
and	O
distributed	O
under	O
an	O
open-source	O
license	O
(	O
CeCILL-C	O
)	O
.	O
</s>
<s>
Contrary	O
to	O
most	O
SMT	B-Application
solvers	I-Application
,	O
Alt-Ergo	B-Language
uses	O
a	O
specific	O
input	O
language	O
with	O
prenex	O
polymorphism	O
.	O
</s>
<s>
The	O
core	O
of	O
Alt-Ergo	B-Language
is	O
made	O
of	O
three	O
parts	O
:	O
a	O
DFS-based	O
SAT	B-Application
solver	I-Application
,	O
a	O
quantifiers	O
instantiation	O
engine	O
based	O
on	O
E-Matching	O
,	O
and	O
a	O
combination	O
of	O
decision	O
procedures	O
for	O
a	O
set	O
of	O
built-in	O
theories	O
.	O
</s>
<s>
Alt-Ergo	B-Language
implements	O
(	O
semi	O
-	O
)	O
decision	O
procedures	O
for	O
the	O
following	O
theories	O
:	O
</s>
<s>
There	O
are	O
several	O
verification	O
platforms	O
built	O
on	O
top	O
of	O
Alt-Ergo	B-Language
:	O
</s>
<s>
,	O
a	O
platform	O
for	O
deductive	O
program	O
verification	O
,	O
uses	O
Alt-Ergo	B-Language
as	O
its	O
main	O
prover	O
;	O
</s>
<s>
CAVEAT	O
,	O
a	O
C-verifier	O
developed	O
by	O
CEA	O
and	O
used	O
by	O
Airbus	O
;	O
Alt-Ergo	B-Language
was	O
included	O
in	O
the	O
qualification	O
DO-178C	O
of	O
one	O
of	O
its	O
aircraft	O
;	O
</s>
<s>
Frama-C	B-Language
,	O
a	O
framework	O
to	O
analyse	O
C-code	O
,	O
uses	O
Alt-Ergo	B-Language
in	O
the	O
Jessie	O
and	O
WP	O
plugins	O
(	O
dedicated	O
to	O
"	O
deductive	O
program	O
verification	O
"	O
)	O
;	O
</s>
<s>
SPARK	B-Language
,	O
uses	O
Alt-Ergo	B-Language
(	O
behind	O
GNATprove	O
)	O
to	O
automate	O
the	O
verification	O
of	O
some	O
assertions	O
in	O
Spark	B-Language
2014	O
;	O
</s>
<s>
Atelier-B	B-Application
can	O
use	O
Alt-Ergo	B-Language
instead	O
of	O
its	O
main	O
prover	O
(	O
increasing	O
success	O
from	O
84%	O
to	O
98%	O
on	O
the	O
)	O
;	O
</s>
<s>
Rodin	B-Application
,	O
a	O
B-method	B-Application
framework	O
developed	O
by	O
Systerel	O
,	O
can	O
use	O
Alt-Ergo	B-Language
as	O
a	O
back-end	O
;	O
</s>
