Download A Pipelined Multi-core MIPS Machine: Hardware Implementation by Mikhail Kovalev, Silvia M. Müller, Wolfgang J. Paul PDF

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

This monograph is predicated at the 3rd author's lectures on computing device structure, given in the summertime semester 2013 at Saarland college, Germany. It incorporates a gate point development of a multi-core computer with pipelined MIPS processor cores and a sequentially constant shared memory.

The ebook 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 therefore deterministic. against this 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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Extra info for A Pipelined Multi-core MIPS Machine: Hardware Implementation and Correctness Proof

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In Chap. 4 we add to this no less than 9 (nine) random access memory (RAM) designs. As before, in a hardware computation with memory components, we have ht+1 = δH (ht , resett ) . An n-bit register R consists simply of n many 1-bit registers R[i] with a common clock enable signal Rce as shown in Fig. 26. R ∈ Bn . R = Rin(ht ) Rce(ht ) = 1 Rce(ht ) = 0 . R ∈ Bn . 5 Drivers and Main Memory 55 yin yin α OC y y α β β Fig. 27. Open collector driver and its timing diagram collector drivers, and main memory.

For the first of de Morgan’s laws this is illustrated in Table 4. 2 Solving Equations We consider expressions e and ei (where 1 ≤ i ≤ n), involving a vector of variables x. We derive three basic lemmas about the solution of Boolean equations. For a ∈ B we define ea = Inspection of the semantics of solving negation. e e a=1 a=0. 17 (solving negation). Given a Boolean expression e(x) and a ∈ B, we have ea = 1 ↔ e = a . Inspection of the semantics of ∧ in Table 3 gives (e1 ∧ e2 ) = 1 ↔ e1 = 1 ∧ e2 = 1 .

Examples of cycles in circuits 1. If s = xi is an input, then ∀i ∈ [n − 1 : 0] : xi (a) = ai . 2. If s is an inverter, then s(a) = in1(s)(a) . 3. If s is a ◦-gate with ◦ ∈ {∧, ∨, ⊕}, then s(a) = in1(s)(a) ◦ in2(s)(a) . Unfortunately, this is not always a definition. For counterexamples, see Fig. 4. Due to the cycles, one cannot find an order in which the above definition can be applied. Fortunately, defining and then forbidding cycles solves the problem. A path from s0 to sm in C is a sequence of signals (s[0 : m]) such that for all i < m we have si = in1(si+1 ) ∨ si = in2(si+1 ) .

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