Download Formal Methods in Computer-Aided Design: 5th International by Wayne Wolf (auth.), Alan J. Hu, Andrew K. Martin (eds.) PDF

By Wayne Wolf (auth.), Alan J. Hu, Andrew K. Martin (eds.)

This booklet constitutes the refereed complaints of the fifth foreign convention on Formal equipment in Computer-Aided layout, FMCAD 2004, held in Austin, Texas, united states in November 2004.

The 29 revised complete papers provided including the summary of an invited speak have been conscientiously reviewed and chosen from sixty nine submissions. The papers tackle all present matters on instruments, equipment, algorithms, and foundational concept for the appliance of formalized reasoning to all points of computer-aided structures layout, together with specification, verification, synthesis, and testing.

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Then, the set of states reachable during the whole time interval is approximated by the convex hull which is enlarged by an appropriate amount to ensure conservative approximation2. This basic algorithm is then extended in various directions. When the system admits an input and is of the form the computation can still be done by applying optimization techniques to find “extremal” values for that push the set “outwards” [30]. Another important extension handles systems that admit mode switching and are modeled by hybrid automata [1], automata that have a distinct differential equation in each state, depending on the values of the continuous state variables.

The original TDM multiplier generation method considers gate delay in choosing how to wire up a partial product reduction array to minimise maximum gate delay [11]. When our adaptive array works with the standard gate delay model and zero input and wire delay, it is mimicking exactly the original TDM method, and achieves identical gate delays. The original TDM uses what the authors call a 3-greedy algorithm; the three fastest wires are chosen for connection to the next full-adder. Like our adaptive array, the basic TDM method can be adapted to take account of the input delay profile.

In analyzing the effect of floating-point roundoff, the effect of rounding will be represented multiplicatively. ) is used to denote that the operation is performed using floating-point arithmetic. The theorem relates the floating-point arithmetic operations such as addition, subtraction, multiplication, and division to their abstract mathematical counterparts according to the corresponding errors. A Methodology for the Formal Verification of FFT Algorithms in HOL 43 While the rounding error for floating-point arithmetic enters into the system multiplicatively, it is an additive component for fixed-point arithmetic.

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