| 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. |
....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.
....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.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC