Some Lambda Calculi with Categorial Sums and Products

نویسنده

  • Daniel J. Dougherty
چکیده

We consider the simply typed-calculus with primitive re-cursion operators and types corresponding to categorical products and coproducts.. The standard equations corresponding to extensionality and to surjectivity of pairing and its dual are oriented as expansion rules. Strong normalization and ground (base-type) connuence is proved for the full calculus; full connuence is proved for the calculus omitting the rule for strong sums. In the latter case, xed-point constructors may be added while retaining connuence.

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تاریخ انتشار 1993