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A Reinterpretation of the Deductive Tableaux System in Higher-Order Logic

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons44047

Ayari,  Abdelwaheb
Programming Logics, MPI for Informatics, Max Planck Society;

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Ayari, A. (1995). A Reinterpretation of the Deductive Tableaux System in Higher-Order Logic. Master Thesis, Universität des Saarlandes, Saarbrücken.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-ACE9-A
Abstract
Our research investigates frameworks supporting the formalization of programming calculi and their application to deduction-based progr am synthesis. Here we report on a case study: within a conservative extension of higher-order logic implemented in the Isabelle system, we derived rules for program development which can simulate those of the deductive tableau proposed by Manna and Waldinger. We have used the resulting theory to synthesize a library of verified programs, focusing in particular on sorting algorithms. Our experience suggests that the methodology we propose is well suited both to implement and use programming calculi, extend them, partially automate them, and even formally reason about their correctness.