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EAN13 Maker In Java Using Barcode maker for BIRT reports Control to generate, create UPC  13 image in BIRT reports applications. Reading Barcode In Java Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications. Known input gates have no incoming edges and are labeled false or true Unknown input gates have no incoming edges and are labeled One of the sinks of the dag is designated as the output gate Given an assignment of values to the unknown inputs, we can evaluate the gates of the circuit in topological order, using the rules of Boolean logic (such as false true = true), until we obtain the value at the output gate This is the value of the circuit for the particular assignment to the inputs For instance, the circuit in Figure813 evaluates to false under the assignment true, false, true (from left to right) C IRCUIT SAT is then the following search problem: Given a circuit, nd a truth assignment for the unknown inputs such that the output gate evaluates to true, or report that no such assignment exists For example, if presented with the circuit in Figure 813 we could have 255 Figure 813 An instance of
CIRCUIT SAT
output
true
returned the assignment (false, true, true) because, if we substitute these values to the unknown inputs (from left to right), the output becomes true C IRCUIT SAT is a generalization of SAT To see why, notice that SAT asks for a satisfying truth assignment for a circuit that has this simple structure: a bunch of AND gates at the top join the clauses, and the result of this big AND is the output Each clause is the OR of its literals And each literal is either an unknown input gate or the NOT of one There are no known input gates Going in the other direction, CIRCUIT SAT can also be reduced to SAT Here is how we can rewrite any circuit in conjunctive normal form (the AND of clauses): for each gate g in the circuit we create a variable g, and we model the effect of the gate using a few clauses:

