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

The booklet 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 easy methods 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 evidence 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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Gates for n-bit wide inputs n=1: a0 n 2 n > 1 : a[n − 1 : ] a[ n 2 n 2 n 2 ◦ ◦ ◦ b − 1 : 0] b n Fig. 11. Implementation of an n-bit ◦-tree for ◦ ∈ {∧, ∨, ⊕} Recursive construction is shown in Fig. 11. The inputs a[n − 1 : 0] and outputs zero and nzero of an n-zero tester shown in Fig. 12 satisfy zero ≡ a = 0n nzero ≡ a = 0n . The implementation uses n−1 nzero(a[n − 1 : 0]) = ai i=0 , zero = nzero . 2 Some Basic Circuits a a n n ∨ n-Zero 1 zero 37 nzero 1 nzero zero (a) symbol (b) implementation Fig.

11. Implementation of an n-bit ◦-tree for ◦ ∈ {∧, ∨, ⊕} Recursive construction is shown in Fig. 11. The inputs a[n − 1 : 0] and outputs zero and nzero of an n-zero tester shown in Fig. 12 satisfy zero ≡ a = 0n nzero ≡ a = 0n . The implementation uses n−1 nzero(a[n − 1 : 0]) = ai i=0 , zero = nzero . 2 Some Basic Circuits a a n n ∨ n-Zero 1 zero 37 nzero 1 nzero zero (a) symbol (b) implementation Fig. 12. n-bit zero tester a a b b n n n n n n-eq 1 n-Zero 1 eq neq 1 eq (a) symbol 1 neq (b) implementation Fig.

Eni ) by substituting the function arguments with Boolean expressions ej : (∀j ∈ [1 : ni ] : ej ∈ BE) → fi (e1 , . . , eni ) ∈ BE . 5. All Boolean expressions are formed by the above rules. We call a Boolean expression pure if it uses only the predefined connectives and doesn’t use any other function symbols. In order to save brackets, one uses the convention that binds stronger than ∧ and that ∧ binds stronger than ∨. Thus, x1 ∧x2 ∨x3 is an abbreviation for x1 ∧ x2 ∨ x3 = ((x1 ) ∧ x2 ) ∨ x3 .

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