By Frank Pfenning
This e-book constitutes the refereed complaints of the twenty first foreign convention on computerized Deduction, CADE-21, held in Bremen, Germany, in July 2007. The 28 revised complete papers and six procedure descriptions awarded have been rigorously reviewed and chosen from sixty four submissions. All present points of automatic deduction are addressed, starting from theoretical and methodological matters to presentation and assessment of theorem provers and logical reasoning platforms. The papers are prepared in topical sections on higher-order good judgment, description common sense, intuitionistic common sense, satisfiability modulo theories, induction, rewriting, and polymorphism, first-order good judgment, version checking and verification, termination, in addition to tableaux and first-order platforms.
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Additional resources for Automated deduction -- CADE-21: 21st International Conference on Automated Deduction, Bremen, Germany, July 17-20, 2007 : proceedings
This is however not suﬃcient in the context of inductive deﬁnitions, because there rules can have the same variable occurring both in binding and non-binding positions. M ), and in the subterm M [y := N ] it is in a non-binding position. M ), N ) −→ −→ M [y := N ] 1 leads to a nonsensical reduction relation. In the absence, however, of a formal justiﬁcation for the variable convention, Barendregt’s argument considering only a well-chosen y seems dubious, because the induction principle that comes with the inductive deﬁnition of −→ −→ is: 1 ∀M.
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