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Erschienen in:
2009 | OriginalPaper | Buchkapitel
A Purely Definitional Universal Domain
verfasst von : Brian Huffman
Erschienen in: Theorem Proving in Higher Order Logics
Verlag: Springer Berlin Heidelberg
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Existing theorem prover tools do not adequately support reasoning about general recursive datatypes. Better support for such datatypes would facilitate reasoning about a wide variety of real-world programs, including those written in continuation-passing style, that are beyond the scope of current tools.
This paper introduces a new formalization of a universal domain that is suitable for modeling general recursive datatypes. The construction is purely definitional, introducing no new axioms. Defining recursive types in terms of this universal domain will allow a theorem prover to derive strong reasoning principles, with soundness ensured by construction.