Describing and optimizing reversible logic using a functional language

TY - GEN

T1 - Describing and optimizing reversible logic using a functional language

AU - Thomsen, Michael Kirkedal

N1 - Conference code: 23

PY - 2012

Y1 - 2012

N2 - This paper presents the design of a language for the description and optimisation of reversible logic circuits. The language is a combinator-style functional language designed to be close to the reversible logical gate-level. The combinators include high-level constructs such as ripples, but also the recognisable inversion combinator f-1, which defines the inverse function of f using an efficient semantics. It is important to ensure that all circuits descriptions are reversible, and furthermore we must require this to be done statically. This is ensured by the type system, which also allows the description of arbitrary sized circuits. The combination of the functional language and the restricted reversible model results in many arithmetic laws, which provide more possibilities for term rewriting and, thus, the opportunity for good optimisation.

AB - This paper presents the design of a language for the description and optimisation of reversible logic circuits. The language is a combinator-style functional language designed to be close to the reversible logical gate-level. The combinators include high-level constructs such as ripples, but also the recognisable inversion combinator f-1, which defines the inverse function of f using an efficient semantics. It is important to ensure that all circuits descriptions are reversible, and furthermore we must require this to be done statically. This is ensured by the type system, which also allows the description of arbitrary sized circuits. The combination of the functional language and the restricted reversible model results in many arithmetic laws, which provide more possibilities for term rewriting and, thus, the opportunity for good optimisation.

U2 - 10.1007/978-3-642-34407-7_10

DO - 10.1007/978-3-642-34407-7_10

M3 - Article in proceedings

SN - 978-3-642-34406-0

T3 - Lecture notes in computer science

SP - 148

EP - 163

BT - Implementation and Application of Functional Languages, IFL 2011

A2 - Gill, Andy

A2 - Hage, Jurriaan

PB - Springer

T2 - 23rd Symposium on Implementation and Application of Functional Languages

Y2 - 3 October 2011 through 5 October 2011

ER -