BDD-based boolean functional synthesis

Dror Fried, Lucas M. Tabajara, Moshe Y. Vardi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Boolean functional synthesis is the process of automatically obtaining a constructive formalization from a declarative relation that is given as a Boolean formula. Recently, a framework was proposed for Boolean functional synthesis that is based on Craig Interpolation and in which Boolean functions are represented as And-Inverter Graphs (AIGs). In this work we adapt this framework to the setting of Binary Decision Diagrams (BDDs), a standard data structure for representation of Boolean functions. Our motivation in studying BDDs is their common usage in temporal synthesis, a fundamental technique for constructing control software/hardware from temporal specifications, in which Boolean synthesis is a basic step. Rather than using Craig Interpolation, our method relies on a technique called Self-Substitution, which can be easily implemented by using existing BDD operations. We also show that this yields a novel way to perform quantifier elimination for BDDs. In addition, we look at certain BDD structures called input-first, and propose a technique called TrimSubstitute, tailored specifically for such structures. Experiments on scalable benchmarks show that both Self- Substitution and TrimSubstitute scale well for benchmarks with good variable orders and significantly outperform current Boolean-synthesis techniques.

Original languageEnglish
Title of host publicationComputer Aided Verification - 28th International Conference, CAV 2016, Proceedings
EditorsSwarat Chaudhuri, Azadeh Farzan
PublisherSpringer Verlag
Number of pages20
ISBN (Print)9783319415390
StatePublished - 2016
Externally publishedYes
Event28th International Conference on Computer Aided Verification, CAV 2016 - Toronto, Canada
Duration: 17 Jul 201623 Jul 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference28th International Conference on Computer Aided Verification, CAV 2016

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2016.


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