By Mikhail Kovalev, Silvia M. Müller, Wolfgang J. Paul

This monograph relies at the 3rd author's lectures on desktop structure, given in the summertime semester 2013 at Saarland collage, Germany. It includes a gate point building of a multi-core computer with pipelined MIPS processor cores and a sequentially constant shared memory.

The e-book includes the 1st correctness proofs for either the gate point implementation of a multi-core processor and in addition of a cache established sequentially constant shared reminiscence. This opens the right way to the formal verification of synthesizable for multi-core processors within the future.

Constructions are in a gate point version and hence deterministic. by contrast the reference versions opposed to which correctness is proven are nondeterministic. the improvement of the extra equipment for those proofs and the correctness facts of the shared reminiscence on the gate point are the most technical contributions of this work.

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The clock enable signal is 0 at edge e(c) and the setup and hold times for it are met: x[i]ce(e(c)) ∧ stable(x[i]ce, c) . • • The output stays unchanged for the entire period. Register initialization. This is happening when the reset signal (reset(t)) is high. In this situation we assume that the register x[i] outputs some value a[i] ∈ B, which is unknown but is not Ω. Any other situation, where the voltage cannot be guaranteed to be recognized as a known logical 0 or 1. This includes i) the transition period from 46 3 Hardware e(−1) e(0) e(1) ck σ reset σ 1 0 ρ Fig.

In [10,14]. Working out the proof sketch from [10], we formalize timing analysis and show by induction on depth that, with proper timing analysis, the detailed model is simulated by the digital model. This justifies the use of the digital model as long as we use only gates and registers. In the very simple Sect. R of hardware configurations h. As we aim at the construction of memory systems, we extend in Sect. 5 both circuit models with open collector drivers, tristate drivers, buses, and a model of main memory.

If the input is 1, then the driver is disabled. In detailed timing diagrams, an undefined value due to disabled outputs is usually drawn as a horizontal line in the middle between 0 and 1. In the jargon of hardware designers this is called the high impedance state or high Z or simply Z. In order to specify behavior and operating conditions of open collector and tristate drivers, we have to permit Z as a signal value for drivers y. Thus, we have y : R → {0, 1, Ω, Z} . For the propagation delay of open collector drivers, we use the same parameters α and β as for gates.

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