Editing Binary decision diagram (section)

== Applications ==
BDDs are extensively used in [[Computer Aided Design|CAD]] software to synthesize circuits ([[logic synthesis]]) and in [[formal verification]]. There are several lesser known applications of BDD, including [[fault tree]] analysis, [[Bayesian probability|Bayesian]] reasoning, product configuration, and [[private information retrieval]].<ref name="Jensen"/><ref name="Lipmaa"/>{{Citation needed|reason=Please provide examples of these applications in the literature.|date=June 2010}}

Every arbitrary BDD (even if it is not reduced or ordered) can be directly implemented in hardware by replacing each node with a 2 to 1 [[Multiplexer#Digital multiplexers|multiplexer]]; each multiplexer can be directly implemented by a 4-LUT in a [[FPGA]]. It is not so simple to convert from an arbitrary network of logic gates to a BDD{{Citation needed|date=March 2008}} (unlike the [[and-inverter graph]]).

BDDs have been applied in efficient [[Datalog]] interpreters.<ref>{{Cite book |last1=Whaley |first1=John |last2=Avots |first2=Dzintars |last3=Carbin |first3=Michael |last4=Lam |first4=Monica S. |title=Programming Languages and Systems |chapter=Using Datalog with Binary Decision Diagrams for Program Analysis |date=2005 |editor-last=Yi |editor-first=Kwangkeun |chapter-url=https://link.springer.com/chapter/10.1007/11575467_8 |series=Lecture Notes in Computer Science |volume=3780 |language=en |location=Berlin, Heidelberg |publisher=Springer |pages=97–118 |doi=10.1007/11575467_8 |isbn=978-3-540-32247-4|s2cid=5223577 }}</ref>