Introduction to Bounded Model Checking Armin Biere FATS Seminar
Introduction to Bounded Model Checking Armin Biere FATS Seminar
Introduction to Bounded Model Checking Armin Biere FATS Seminar
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<strong>Bounded</strong> <strong>Model</strong> <strong>Checking</strong> BMC<br />
[<strong>Biere</strong>CimattiClarkeZhu-TACAS’99] 17<br />
• look only for counter example made of k states (the bound)<br />
s0 s1 sl sl+1 sk B<br />
B<br />
B<br />
B<br />
• simple for safety properties: bad state B is reachable<br />
BMC(k) : I(s0) ∧ T (s0,s1) ∧ ··· ∧ T (s k−1,s k) ∧<br />
B<br />
or<br />
s0 s1 sl sl+1 sk N<br />
N<br />
k_<br />
i=0<br />
N<br />
B(si)<br />
• harder for liveness properties cycle with no progress states N reachable<br />
I(s0) ∧ T (s0,s1) ∧ ··· ∧ T (s k−1,s k) ∧<br />
k^<br />
i=0<br />
N(si) ∧<br />
• can also encode liveness in<strong>to</strong> safety [<strong>Biere</strong>ArthoSchuppan’01]<br />
k_<br />
l=0<br />
N<br />
T (s k,s l)<br />
<strong>Introduction</strong> <strong>to</strong> <strong>Bounded</strong> <strong>Model</strong> <strong>Checking</strong> – <strong>FATS</strong> <strong>Seminar</strong> ETH 2009 <strong>Armin</strong> <strong>Biere</strong> – FMV – JKU Linz<br />
N