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Published online by Cambridge University Press: 07 September 2011
As we saw in Chapter 5, negation as failure has a natural meta-logical (or autoepistemic) semantics, which interprets the phrase cannot be shown literally, as an expression in the meta-language or in autoepistemic logic. But historically the first and arguably the simplest semantics is the completion semantics (Clark, 1978), which treats conditionals as biconditionals in disguise.
Both the meta-logical and the completion semantics treat an agent’s beliefs as specifying the only conditions under which a conclusion holds. But whereas the meta-logical semantics interprets the term only in the meta-language, biconditionals in the completion semantics interpret the same term, only, in the object language.
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