Descente Infinie + Deduction
Descente Infinie + Deduction
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迪桑特无限演绎
DOI：
10.1093/jigpal/12.1.1
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Claus
中科院分区：
文献类型：
--
作者：
Claus
归纳定理以descende Infinie的形式为古希腊人而闻名，这是工作数学家的标准诱导方法，因为它在17世纪中叶重新发明了。 - 自由变量的序列和图表计算。解决方案和引理假设的不受限制的适用性。
Inductive theorem proving in the form of descente infinie was known to the ancient Greeks and is the standard induction method of a working mathematician since it was reinvented in the middle of the 17th century. We present an integration of descente infinie into state-of-the-art free-variable sequent and tableau calculi. It is well-suited for an efficient interplay of human interaction and automation and combines raising, explicit representation of dependence between variables, the liberalized δ-rule, preservation of solutions, and unrestricted applicability of lemmas and induction hypotheses. The semantical requirements are satisfied for a variety of two-valued logics, such as clausal logic, classical first-order logic, and higher-order modal logic.