The Decision Problem in Set Theory
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In connection with the decision problem in set theory, we are interested in specific collections of quantifier-free formulae, referred to as FRAGMENTS or THEORIES throughout the book. These involve various combinations of set-theoretic operators and predicates. In particular, the elementary Boolean set-theoretic operators of binary union ∪, binary intersection ∩, and set difference \, as well as the predicate symbols of equality =, set inclusion ⊆, and membership ∈, will almost always be present.
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