Biconditional BDD: a novel canonical BDD for logic synthesis targeting XOR-rich circuits

  • Authors:
  • Luca Amarú;Pierre-Emmanuel Gaillardon;Giovanni De Micheli

  • Affiliations:
  • Integrated Systems Laboratory (LSI), EPFL, Switzerland;Integrated Systems Laboratory (LSI), EPFL, Switzerland;Integrated Systems Laboratory (LSI), EPFL, Switzerland

  • Venue:
  • Proceedings of the Conference on Design, Automation and Test in Europe
  • Year:
  • 2013

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Abstract

We present a novel class of decision diagrams, called Biconditional Binary Decision Diagrams (BBDDs), that enable efficient logic synthesis for XOR-rich circuits. BBDDs are binary decision diagrams where the Shannon's expansion is replaced by the biconditional expansion. Since the biconditional expansion is based on the XOR/XNOR operations, XOR-rich logic circuits are efficiently represented and manipulated with canonical Reduced and Ordered BBDDs (ROBBDDs). Experimental results show that ROBBDDs have 37% fewer nodes on average compared to traditional ROBDDs. To exploit this opportunity in logic synthesis for XOR-rich circuits, we developed a BBDD-based One-Pass Synthesis (OPS) methodology. The BBDD-based OPS is capable to harness the potential of novel XOR-efficient devices, such as ambipolar transistors. Experimental results show that our logic synthesis methodology reduces the number of ambipolar transistors by 49.7% on average with respect to state-of-art commercial logic synthesis tool. Considering CMOS technology, the BBBD-based OPS reduces the device count by 31.5% on average compared to commercial synthesis tool.