On Notions of Inductive Validity for First-Oder Equational Clauses

  title={On Notions of Inductive Validity for First-Oder Equational Clauses},
  author={Claus-Peter Wirth and Bernhard Gramlich},
We define and discuss various conceivable notions of inductive validity for first-order equational clauses. This is done within the framework of constructor-based positive/negative conditional equational specifications which permits to treat negation and incomplete function definitions in an adequate and natural fashion. Moreover, we show that under some reasonable assumptions all these notions are monotonic w. r. t. consistent extension, in contrast to the case of inductive validity for… CONTINUE READING
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