Linear constraints occur naturally in many reasoning problems and the information that they represent is often uncertain. There is a difficulty in applying AI uncertainty formalisms to this situation, as their representation of the underlying logic, either as a mutually exclusive and exhaustive set of possibilities, or with a propositional or a predicate logic, is inappropriate (or at least unh...

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This paper provides a lexical entry schema for exclusives covering the adverbs only, just, exclusively, merely, purely, solely, simply, and the adjectives only, sole, pure, exclusive and alone. We argue, on the basis of inter-paraphrasability relations among these exclusives and entailments involving at least and at most, that all of these items make an at-issue contribution of an upper bound o...

Linear constraints occur naturally in many reasoning problems and the information that they represent is often uncertain. There is a difficulty in applying many AI uncertainty formalisms to this situation, as their representation of the underlying logic, either as a mutually exclusive and exhaustive set of possibilities, or with a propositional or a predicate logic, is inappropriate (or at leas...