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Translation of Resolution Proofs into Short First-Order Proofs without Choice Axioms

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons44298

de Nivelle,  Hans
Programming Logics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons44050

Baader,  Franz
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

de Nivelle, H. (2003). Translation of Resolution Proofs into Short First-Order Proofs without Choice Axioms. In Automated deduction, CADE-19: 19th International Conference on Automated Deduction (pp. 365-379). Berlin, Germany: Springer.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-2E6D-E
Abstract
We present a way of transforming a resolution proof containing Skolemization into a natural deduction proof of the same formula but not using Skolemization. The size of the proof increases only moderately (polynomially). This makes it possible to translate the output of a resolution theorem prover into a purely first-order proof that is moderate in size.