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Keywords:
algebra; effect algebra; $MV$-algebra; test space; $MV$-test space; state; weight
algebra; effect algebra; $MV$-algebra; test space; $MV$-test space; state; weight
Summary:
In analogy with effect algebras, we introduce the test spaces and $MV$-test spaces. A test corresponds to a hypothesis on the propositional system, or, equivalently, to a partition of unity. We show that there is a close correspondence between $MV$-algebras and $MV$-test spaces.
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