T. Nipkow, L. Paulson, M. Wenzel Isabelle's Logics: HOL 2002, http://isabelle.in.tum.de/doc/logics-HOL.pdf, 2002.

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Grundlagenstreit in the Theory of Programming - Voda (2003)   (Correct)

....The axioms of FSI can be presented on half a page and their consistency boils down to the consistency of PA which is quite easy to see (either by the standard model or by the consistency proof of Gentzen) On the other hand, HOL and type theories require pages of description. For instance, [10] which seems to be the ocial description of Isabelle HOL logic, contains lengthy descriptions of proof tactics obscuring its logical foundations. To make things worse, axioms are not speci ed in the usual way of logic by schemes such as the induction axioms in PA or comprehension axioms of FSI ....

T. Nipkow, L. Paulson, M. Wenzel Isabelle's Logics: HOL 2002, http://isabelle.in.tum.de/doc/logics-HOL.pdf, 2002.

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