Publication detail

SAT-Based Generation of Optimum Circuits with Polymorphic Behavior Support

FIŠER, P. HÁLEČEK, I. SCHMIDT, J. ŠIMEK, V.

Original Title

SAT-Based Generation of Optimum Circuits with Polymorphic Behavior Support

Type

journal article in Web of Science

Language

English

Original Abstract

This paper presents a method for generating optimum multi-level implementations of Boolean functions based on Satisfiability (SAT) and Pseudo-Boolean Optimization (PBO) problems solving. The method is able to generate one or enumerate all optimum implementations, while the allowed target gate types and gates costs can be arbitrarily specified. Polymorphic circuits represent a newly emerging computation paradigm, where one hardware structure is capable of performing two or more different intended functions, depending on instantaneous conditions in the target operating environment. In this paper we propose the first method ever, generating provably size-optimal polymorphic circuits. Scalability and feasibility of the method are documented by providing experimental results for all NPN-equivalence classes of four-input functions implemented in AND-Inverter and AND-XOR-Inverter logics without polymorphic behavior support being used and for all pairs of NPN-equivalence classes of three-input functions for polymorphic circuits. Finally, several smaller benchmark circuits were synthesized optimally, both in standard and polymorphic logics.

Keywords

Boolean functions, logic synthesis, SAT, PBO, optimum implementation, exact synthesis, polymorphic circuits.

Authors

FIŠER, P.; HÁLEČEK, I.; SCHMIDT, J.; ŠIMEK, V.

Released

14. 6. 2019

ISBN

1793-6454

Periodical

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS

Year of study

28

Number

1

State

Republic of Singapore

Pages from

1

Pages to

29

Pages count

29

URL

https://www.worldscientific.com/doi/10.1142/S0218126619400103

BibTex

@article{BUT163428,
  author="FIŠER, P. and HÁLEČEK, I. and SCHMIDT, J. and ŠIMEK, V.",
  title="SAT-Based Generation of Optimum Circuits with Polymorphic Behavior Support",
  journal="JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS",
  year="2019",
  volume="28",
  number="1",
  pages="1--29",
  doi="10.1142/S0218126619400103",
  issn="1793-6454",
  url="https://www.worldscientific.com/doi/10.1142/S0218126619400103"
}