Property Checking Without Invariant Generation

We introduce a procedure for proving safety properties. This procedure is based on a technique called Partial Quantifier Elimination (PQE). In contrast to complete quantifier elimination, in PQE, only a part of the formula is taken out of the scope of quantifiers. So, PQE can be dramatically more efficient than complete quantifier elimination. The appeal of our procedure is twofold. First, it can prove a property without generating an inductive invariant. Second, it employs depth-first search and so can be used to find deep bugs

Neuroscience and the Free Exercise of Religion

Recent developments in neuroscience that purport to reduce religious experience to specific parts of the brain will not diminish the fundamental cultural or legal standing of religion. William James debunked this possibility in The Varieties of Religious Experience (1902) when he noted that “the organic causation of a religious state of mind” no more refutes religion than the argument that scientific theories are so caused refutes science. But there will be incremental legal change in areas like civil commitment where judges must sometimes distinguish between mental disorder and religious belief. The paradox is that the ecstatic religious experience of unorthodox individuals will fare less well in the courts than the beliefs of conventional groups, which is precisely the opposite of James’ view of authentic religious life