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|Title: ||Formalizations Of Substitution Of Equals For Equals|
|Authors: ||Gries, David|
Schneider, Fred B.
|Keywords: ||computer science|
|Issue Date: ||May-1998|
|Publisher: ||Cornell University|
|Abstract: ||Inference rule "substitution of equals for equals" has been formalized in terms of simple substitution (which performs a replacement even though a free occurrence of a variable is captured), contextual substitution (which prevents such capture), and function application. We show that in connection with pure first-order predicate calculus, the function-application and no-capture versions of the inference rule are the same and are weaker than the capture version. We discuss the deductive apparatus needed for the no-capture version to be as powerful as the capture version.|
|Appears in Collections:||Computer Science Technical Reports|
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