There are Boolean functions such that almost all orderings of
its variables yield an OBDD of polynomial size, but there are
also some exceptional orderings, for which the size is exponential.
We prove that for parity OBDDs the size for a random ordering
... more >>>

This paper studies the isomorphism problem for Boolean formulas and places it precisely in the polynomial hierarchy. Two of its results are new. The first sharpens the relationship between Boolean and graph isomorphism. Chang's reduction shows only that the unrestricted Boolean isomorphism problem is GI-hard, in one direction; restricting both ... more >>>

A Boolean-weighted graph is a finite graph whose edges carry DNF formulas over a common variable set. This paper studies two isomorphism problems on such graphs, distinguished by whether the per-edge condition requires the matched edge labels to be syntactically DNF-isomorphic (BWG-ISO) or syntactically DNF non-isomorphic (BWG-NI), each over a ... more >>>