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  A Higher-order Interpretation of Deductive Tableau

Ayari, A., & Basin, D. A. (2001). A Higher-order Interpretation of Deductive Tableau. Journal of Symbolic Computation, 31(5), 487-520.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-31D6-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-31D7-8
Genre: Journal Article

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 Creators:
Ayari, Abdelwaheb1, Author           
Basin, David A.1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: The Deductive Tableau of Manna and Waldinger is a formal system with an associated methodology for synthesizing functional programs by existence proofs in classical first-order theories. We reinterpret the formal system in a setting that is higher-order in two respects: higher-order logic is used to formalize a theory of functional programs and higher-order resolution is used to synthesize programs during proof. Their synthesis methodology can be applied in our setting as well as new methodologies that take advantage of these higher-order features. The reinterpretation gives us a framework for directly formalizing and implementing the Deductive Tableau system in standard theorem provers that support the kinds of higher-order reasoning listed above. We demonstrate this, as well as a new development methodology, within a conservative extension of higher-order logic in the Isabelle system. We report too on a case-study in synthesizing sorting programs.

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Language(s): eng - English
 Dates: 2010-03-122001
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 519820
Other: Local-ID: C1256104005ECAFC-F36309408845C23CC1256AAF003054BB-AyariBasin2001
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Title: Journal of Symbolic Computation
Source Genre: Journal
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Pages: - Volume / Issue: 31 (5) Sequence Number: - Start / End Page: 487 - 520 Identifier: -