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Faculty of Mathematics University of Belgrade Serbia http://argo.matf ...

Faculty of Mathematics University of Belgrade Serbia http://argo.matf ...

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<strong>Faculty</strong> <strong>of</strong> <strong>Mathematics</strong><br />

<strong>University</strong> <strong>of</strong> <strong>Belgrade</strong><br />

<strong>Serbia</strong><br />

<strong>http</strong>://<strong>argo</strong>.<strong>matf</strong>.bg.ac.rs<br />

COST Action IC0901 kick-<strong>of</strong>f meeting, Brussels, Oct 30, 2009.


Group members:<br />

• dr Predrag Janičić<br />

• dr Filip Marić<br />

• Milan Banković<br />

• Mladen Nikolić<br />

• Vesna Pavlović<br />

• Sana Stojanović<br />

• Milena Vujošević-Janičić<br />

1


Current research areas:<br />

• SAT/SMT solving<br />

• Applications <strong>of</strong> SAT/SMT solvers<br />

• Geometry reasoning<br />

2


SAT/SMT solving:<br />

• SAT solver ArgoSAT<br />

• Formal correctness pro<strong>of</strong>s (in Isabelle)<br />

• Heuristics for instance-based selection <strong>of</strong> parameters<br />

• SMT solver ArgoLib<br />

• New version ArgoSMT is under development (with additional<br />

solvers)<br />

3


Applications <strong>of</strong> SAT/SMT solvers:<br />

• In timetabling<br />

• In s<strong>of</strong>tware verification<br />

• For CSP problems<br />

• Novel specification language (that uses SAT/SMT solvers)<br />

is under development<br />

4


Geometry reasoning:<br />

• Dynamic geometry tool GCLC with integrated three theorem<br />

provers, based on:<br />

– area method<br />

– Wu’s method<br />

– Gröbner bases method<br />

• Theorem prover based on coherent logic under development<br />

(with formal pro<strong>of</strong>s exported)<br />

5


We organized two successful workshops recently:<br />

• Workshop on formal theorem proving and applications (<strong>Belgrade</strong>,<br />

2008)<br />

• Workshop on formal and automated theorem proving and<br />

applications (<strong>Belgrade</strong>, 2009)<br />

• Workshop 2010 planned for end <strong>of</strong> January 2010 — you will<br />

be welcome!<br />

6

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