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Verification of Parameterised FPGA Circuit Descriptions with Layout ...

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CHAPTER 2. BACKGROUND AND RELATED WORK 22<br />

compile a design description into actual hardware then the operation <strong>of</strong> the hardware itself.<br />

The limits <strong>of</strong> formal methods for verification must be kept in mind – the techniques do<br />

not guarantee correct hardware but they do promise to remove or reduce error in the most<br />

error-prone stages <strong>of</strong> the process.<br />

2.4.1 Model Checking<br />

Model checking is an automatic model based property-verification method that is widely<br />

applicable for verification tasks. Checking starts <strong>with</strong> a model description and attempts to<br />

discover whether hypotheses asserted by the user are valid in the model. In this way the<br />

model checker can verify properties <strong>of</strong> the model (such as freedom from deadlocks), or can<br />

provide counterexamples in the form <strong>of</strong> an execution trace which fails the test.<br />

Modal checking is based on temporal logic [29] which allows the expression <strong>of</strong> formulae over<br />

transition systems. Model checking is essentially the exploration <strong>of</strong> the full state space <strong>of</strong> a<br />

system and thus can be highly automated but the size <strong>of</strong> the model that can effectively be<br />

executed is limited by the practical constraints <strong>of</strong> computer processor power, memory, etc.<br />

Despite this through considerable practical work on data structures (for example BDDs [11])<br />

circuits <strong>of</strong> considerable size have been verified using model checkers.<br />

Symbolic Trajectory Evaluation (STE) [73], for example, is a model checking approach de-<br />

signed to verify circuits <strong>with</strong> very large state spaces since it is more sensitive to the property<br />

being checked than to the size <strong>of</strong> the circuit. STE grew out <strong>of</strong> symbolic simulation and it<br />

still close to traditional simulation as a verification method.<br />

A number <strong>of</strong> commercially available tools for hardware verification through model checking<br />

are available from EDA vendors such as Cadence and Synopsis. Model checking is increasingly<br />

used in commercial circuit development as part <strong>of</strong> the verification process, although not<br />

totally replacing simulation. Model checking is particularly useful even in systems that are<br />

too large for full exhaustive checking (which is most full systems) because it finds counter-<br />

examples - state transition traces that do not meet the specification - and so can be used<br />

as part <strong>of</strong> a bug-fixing process. Simulation and model checking can be used in combination<br />

to explore a large state space, <strong>with</strong> simulation used to reach an interesting state and then

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