VSL 2014: VIENNA SUMMER OF LOGIC 2014

Reasoning in First-Order Theories with Extensionality

Authors: Ashutosh Gupta, Laura Kovacs, Bernhard Kragl and Andrei Voronkov

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Title:Reasoning in First-Order Theories with Extensionality
Authors:Ashutosh Gupta, Laura Kovacs, Bernhard Kragl and Andrei Voronkov
Proceedings:Vampire 2014 Proceedings
Editors: Laura Kovacs and Andrei Voronkov
Keywords:first-order theorem proving, extensionality axiom, superposition calculus, saturation algorithm
Abstract:Extensionality resolution is a new inference rule that helps first-order theorem provers to overcome limitations when reasoning with extensionality axioms. The inference rule naturally resembles the use of extensionality axioms in human proofs and integrates easily into the architecture of superposition-based theorem provers. The recent implementation of extensionality resolution in Vampire provides strong experimental evidence of the effectiveness of the technique. We present ongoing work on new options to control the recognition of extensionality axioms as well as the application of extensionality resolution inferences in the proof search of Vampire.
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Talk:Jul 23 17:30
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