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M. Wenzel. Isabelle/Isar { a versatile environment for human-readable formal proof documents, PhD thesis, Institut fur Informatik, Technische Universitat Muchen, http://tumb1.biblio.tu-muenchen.de/publ/diss/in/2002/wenzel.html, 2002.

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

....axiomatic basis, together with meta theoretical properties of the deductive systems, and maybe some model theory. In contrast, applied logic should eventually reach a stage where such foundational details become much less important than the concrete theory environment o ered to end users [18]. PVS, which belongs to the class of HOLs, is even worse in this respect because the derived schemas of inference are hardwired into the PVS proof assistant and 8 not visible as in Isabelle HOL through the theories. The ocial description of axioms of PVS [13] leaves much to be desired from the ....

M. Wenzel. Isabelle/Isar { a versatile environment for human-readable formal proof documents, PhD thesis, Institut fur Informatik, Technische Universitat Muchen, http://tumb1.biblio.tu-muenchen.de/publ/diss/in/2002/wenzel.html, 2002.


Program Extraction in simply-typed Higher Order Logic - Berghofer (2002)   (1 citation)  (Correct)

....from j to k by lemma3. Otherwise, if there is no i path from j to i or from i to k, there can be no Suc i path from j to k either, because this would contradict lemma4 . In order to formalize the above proof in Isabelle in a readable way, we make use of the proof language Isar due to Wenzel [23]. theorem warshall : j k : 9 p: is path r p i j k) 9 p: is path r p i j k) proof (induct i) case (0 j k) show case induction basis proof (cases r j k) assume r j k = T hence is path r (j ; k) 0 j k by (simp add : is path def ) hence 9 p: is path r p 0 j k . thus thesis . ....

M. Wenzel. Isabelle/Isar | a versatile environment for human-readable formal proof documents. PhD thesis, Institut fur Informatik, TU Munchen, 2002.

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