Boolean functional synthesis is the process of constructing a Boolean function from a Boolean specification that relates input and output variables. Despite significant recent developments in synthesis algorithms, Boolean functional synthesis remains a challenging problem even when state-of-the-art methods are used for decomposing the specification. In this work we bring a fresh decomposition approach, orthogonal to existing methods, that explores the decomposition of the specification into separate input and output components. We make use of an input-output decomposition of a given specification described as a CNF formula, by alternatingly analyzing the separate input and output components. We exploit well-defined properties of these components to ultimately synthesize a solution for the entire specification. We first provide a theoretical result that, for input components with specific structures, synthesis for CNF formulas via this framework can be performed more efficiently than in the general case. We then show by experimental evaluations that our algorithm performs well also in practice on instances which are challenging for existing state-of-the-art tools, serving as a good complement to modern synthesis techniques.
|Title of host publication||Proceedings of the 18th Conference on Formal Methods in Computer-Aided Design, FMCAD 2018|
|Editors||Nikolaj Bjorner, Arie Gurfinkel|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||9|
|State||Published - 4 Jan 2019|
|Event||18th Conference on Formal Methods in Computer-Aided Design, FMCAD 2018 - Austin, United States|
Duration: 30 Oct 2018 → 2 Nov 2018
|Name||Proceedings of the 18th Conference on Formal Methods in Computer-Aided Design, FMCAD 2018|
|Conference||18th Conference on Formal Methods in Computer-Aided Design, FMCAD 2018|
|Period||30/10/18 → 2/11/18|
Bibliographical noteFunding Information:
Work supported in part by NSF grants CCF-1319459 and IIS-1527668, by NSF Expeditions in Computing project ”ExCAPE: Expeditions in Computer Augmented Program Engineering”, by a grant from MHRD, Govt of India, under the IMPRINT-1 scheme, and by the Brazilian agency CNPq through the Ciência Sem Fronteiras program. We thank Assaf Marron for useful discussions, and the anonymous reviewers for their suggestions. Extended version of the paper available on arXiv.
© 2018 FMCAD Inc.