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19.2 Exact Combinatorial Optimization Methods for Physical Design of Regular Logic Bricks Brian Taylor and Larry Pileggi Carnegie Mellon University 5000 Forbes Avenue Pittsburgh, PA 15213 {briant, pileggi}@ece.cmu.edu ABSTRACT As minimum feature sizes continue to scale down, increasing di culties with subwavelength lithography have spurred research into more regular layout styles, such as Restrictive Design Rules (RDRs) [11] and regular logic fabrics [10]. In this paper we show that the simplicity and discreteness of regular fabrics give rise to powerful exact combinatorial optimization methods for the brick layout problem (the regular fabric equivalent of the cell layout problem). These methods are either inapplicable or intractable for less regular layout styles, such as the DRC-based approach of standard cell layout. Results from our prototype tool demonstrate that these optimization methods are quite practical for bricks of typical size found in large-scale designs. Categories and Subject Descriptors B.7.1 [Integrated Circuits]: Types and Design Styles Regular Fabrics; B.7.2 [Integrated Circuits]: Placement and Routing. General Terms Algorithms, Design. Keywords Regularity, Manufacturability, DFM, Combinatorial optimization, Exact methods, Boolean satis ability. and Phase Shift Mask (PSM) are employed to bring resolution up to acceptable levels [15]. However, these techniques cannot correct irregular layouts
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