Handshake circuits : an asynchronous architecture for VLSI by Kees van Berkel

By Kees van Berkel

'Design by way of programming' has proved very profitable within the improvement of complicated software program platforms. This e-book describes the development of courses for VLSI electronic circuit layout, utilizing the language Tangram, and exhibits how they are often compiled immediately in totally asynchronous circuits. Handshake circuits have been invented through the writer to split questions regarding the effective implementation of the VLSI circuits from concerns coming up of their layout. Dr van Berkel provides a mathematical thought of handshake circuits and a silicon compiler supported via a correctness evidence. The remedy of VLSI realizations of handshake circuits comprises numerous types of optimization, handshake refinement, message encoding, circuit initialization, and checking out. The method is illustrated with a number of examples drawn from a variety of software components. The ebook can be of use to electric engineers and machine scientists serious about VLSI layout

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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. 5 that a design that works in the digital model also works in the detailed hardware model. For tristate drivers and main memory this will not be the case. 1 Open Collector Drivers and Active Low Signal A single open collector driver y and its detailed timing is shown in Fig. 27. If the input yin is 0, then the open collector driver also outputs 0.

Here, all input signals are binary and stable for the maximal propagation delay β before t. For inverters y this is captured by the following predicate: reg(y, t) ↔ ∃a ∈ B : ∀t ∈ [t − β, t] : in1(y)(t ) = a . Gate y in this case outputs a at time t. For ◦-gates y we define reg(y, t) ↔ ∃a, b ∈ B : ∀t ∈ [t − β, t] : in1(y)(t ) = a ∧ in2(y)(t ) = b . Then gate y outputs a ◦ b at time t. 48 3 Hardware in1 in2 β α y t2 − β t − α t1 t2 t Fig. 23. 4 • Signal holding. Here, signal propagation is not regular anymore but it was regular at some time during the minimal propagation delay α before t: hold(y, t) ↔ ¬reg(y, t) ∧ ∃t ∈ [t − α, t] : reg(y, t ) .

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. 5 that a design that works in the digital model also works in the detailed hardware model. For tristate drivers and main memory this will not be the case. 1 Open Collector Drivers and Active Low Signal A single open collector driver y and its detailed timing is shown in Fig.

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