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Theoretical Informatics and Applications Will be set by the publisher Informatique Theorique et Applications

Summary: Theoretical Informatics and Applications Will be set by the publisher
Informatique Th’eorique et Applications
Andreas Abel 1
Abstract. The paradigm of type­based termination is explored for
functional programming with recursive data types. The article intro­
duces # +
µ , a lambda­calculus with recursion, inductive types, subtyping
and bounded quantification. Decorated type variables representing ap­
proximations of inductive types are used to track the size of function
arguments and return values. The system is shown to be type safe and
strongly normalizing. The main novelty is a bidirectional type checking
algorithm whose soundness is established formally.
1991 Mathematics Subject Classification. 68N15, 68N18, 68Q42.
In interactive theorem provers like Alfa [26], Coq [29], or LEGO [33, 43], which
are based on the Curry­Howard isomorphism, inductive proofs can be supplied
as recursive functions. However, only functions which terminate on all inputs
constitute valid proofs. In functional programming, functions are commonly de­
fined via general recursion and pattern matching. This imposes some challenge


Source: Abel, Andreas - Theoretische Informatik, Ludwig-Maximilians-Universität München


Collections: Computer Technologies and Information Sciences