By Francisco Azevedo
Structures are topic to faults of their elements, affecting their total behaviour. In a "black-box" approach, such faults merely develop into obvious within the output whilst acceptable inputs are given, which poses a couple of pride and optimization difficulties relating to either checking out and diagnosing. This paintings addresses such difficulties constructing types with multi-valued logics that it formalizes and generalizes to a number of faults. Such logics expand Boolean common sense by way of encoding dependencies on faults, therefore permitting the modelling of an arbitrary variety of diagnostic theories. The effectiveness of constraint fixing over finite domain names and units is proven on a number of difficulties.
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Extra resources for Constraint Solving over Multi-Valued Logics: Application to Digital Circuits
E. test patterns) of a test set for a given circuit. The techniques depend on the goals to be achieved as discussed in the following sections. 2 Test Generation When the goal is to detect specific faults in the circuit, a test with appropriate inputs must be found so that the effects of the faults are apparent on the circuit output. This Test Generation (TG) is said to be fault-oriented. TG is an NP-complete problem [Ibarra and Sahni 1975], thus a number of algorithms have been developed to tackle it, due to its importance in industry.
2 shows some statistics concerning each benchmark, including the number of PIs, POs, gates, circuit level, and average and maximum fanin and fanout, where a gate fanin is the number of its inputs. 2. 3, makes them suitable for comparing different approaches for all kinds of problems. It is noteworthy that c1355 is just an expansion of c499, in replacing each xor-gate by 4 nand-gates, with a few buffers added. 3. 4). Benchmark faults are only a subset of all the possible faults in a circuit (which are twice the number of nets, since any net may be stuck-at-0 or stuck-at-1), in fact, they constitute a collapsed fault set [Brglez and Fujiwara 1985].
6 shows tables of basic operations over this 5-valued logic. Each such logic operation corresponds to the two operations in the normal and faulty circuits since the 5 values are just an encoding of the two composite values. 6. 7. This may lead to an inconsistency during the search for a solution where decisions are made to justify a line or to propagate an error. If such a conflict occurs, there is -A. failure and backtracking is used to try a different choice. When all choices fail, there is no possible solution and the fault is said to be undetectabk.
Constraint Solving over Multi-Valued Logics: Application to Digital Circuits by Francisco Azevedo