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Conference paper · Book chapter

Formalizing Bachmair and Ganzinger’s Ordered Resolution Prover

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Vrije Universiteit Amsterdam3

Swiss Federal Institute of Technology Zurich4

Saarland University5

We present a formalization of the first half of Bachmair and Ganzinger’s chapter on resolution theorem proving in Isabelle/HOL, culminating with a refutationally complete first-order prover based on ordered resolution with literal selection. We develop general infrastructure and methodology that can form the basis of completeness proofs for related calculi, including superposition.

Our work clarifies several of the fine points in the chapter’s text, emphasizing the value of formal proofs in the field of automated reasoning.

Language: English
Publisher: Springer
Year: 2018
Pages: 89-107
Proceedings: 9<sup>th</sup> International Joint Conference on Automated Reasoning
Series: Lecture Notes in Computer Science
Journal subtitle: 9th International Joint Conference, Ijcar 2018, Held As Part of the Federated Logic Conference, Floc 2018, Oxford, Uk, July 14-17, 2018, Proceedings
ISBN: 3319942042 , 3319942050 , 9783319942049 and 9783319942056
ISSN: 03029743 and 16113349
Types: Conference paper and Book chapter
DOI: 10.1007/978-3-319-94205-6_7
ORCIDs: Schlichtkrull, Anders

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