Lehmann and Wegener introduced Dependency Rules based on Boolean expressions with their incarnation of the CTE . Further features include the automated generation of test suites using combinatorial test design ( e . g . all-pairs testing ).
42.
It holds whenever starting from a state in which the boolean expression C \ land I is true and successfully executing some program called " body ", the machine ends up in a state in which I is true.
43.
:: Common sense tells us that in both cases the rightmost condition should be evaluated first . . since it's very fast and presumably half the time the rightmost condition will determine the output of the entire boolean expression.
44.
A convenient property of CSG shapes is that it is easy to classify arbitrary points as being either inside or outside the shape created by CSG . The point is simply classified against all the underlying primitives and the resulting boolean expression is evaluated.
45.
However, as Boolean expressions get larger, more complicated, or more structured, these heuristics fail to capture useful information about these problems that could improve efficiency; they often get stuck in local maxima or do not consider the distribution of variables.
46.
As SAT solvers and practical SAT problems ( e . g . circuit verification ) get more advanced, the Boolean expressions of interest may exceed millions of variables with several million clauses; therefore, efficient data structures to store and evaluate the clauses must be used.
47.
Comparable calculations are used for other logical functions such as negation, exclusive disjunction, etc . When the Boolean expression to be evaluated becomes complex, it may be necessary to evaluate it using the methods of mathematical programming to get best-possible bounds on the expression.
48.
For example, in the example below at the stage of semantic analysis if the language required that conditions on " if " statements were boolean expressions the " cond " would be type-checked to make sure it would be a valid boolean expression.
49.
For example, in the example below at the stage of semantic analysis if the language required that conditions on " if " statements were boolean expressions the " cond " would be type-checked to make sure it would be a valid boolean expression.
50.
These conventions allow some operators in both languages to serve both as predicates ( answering a boolean-valued question ) and as returning a useful value for further computation, but in Scheme the value'( ) which is equivalent to NIL in Common Lisp evaluates to true in a boolean expression.
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