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With strong accents on hard clauses, EHC has three components: a variable selection mechanism focusing on configuration checking based only on hard clauses, a weighting scheme for hard clauses, and a biased random walk component.
CCEHC employs an extended framework of CCLS with a heuristic emphasizing hard clauses, called EHC.
When we distinguish between hard and soft clauses, and soft clauses have an associated weight, then the problem, called Weighted Partial MinSAT, consists in finding a truth assignment that satisfies all the hard clauses and minimizes the sum of weights of satisfied soft clauses.
The problem then is to identify an assignment that satisfies all hard clauses while maximizing the total weight of the satisfied soft clauses.
The objective of the problem is to find an assignment that satisfies all hard clauses and satisfies the most number of non-hard (i.e. soft) clauses.
As these clauses describe how the errors are calculated, they should be hard clauses in our MaxSAT problem (they should not be violated by any solution).
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In WPMS, each clause in the CNF is identified as a hard clause or soft clause.
(The Kurds fought hard for clauses in the new constitution, ratified in 2005, which they read as giving them the power to make such deals).
Partial Maximum Satisfiability (PMS) is a generalization of MaxSAT which involves hard and soft clauses and has important real world applications.
However, unfortunately, local search algorithms for PMS do not benefit much from local search techniques for SAT and MaxSAT, mainly due to the fact that it contains both hard and soft clauses.
BP pushed hard for the clause to be included, according to documents from lawyers involved in drafting the rules.
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