Probabilistic Argumentation Systems (PAS) are a technique for representing uncertainty both symbolically and numerically. It is shown that this technique, which combines symbolic ...
We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Emile Borel (1871
Argumentation theory has become an important topic in the field of AI. The basic idea is to construct arguments in favor and against a statement, to select the “acceptable” o...
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
When reasoning about inductively defined predicates, such as typing judgements or reduction relations, proofs are often done by inversion, that is by a case analysis on the last r...