# Extending a brainiac prover to lambda-free higher-order logic

@article{Vukmirovic2019ExtendingAB,
title={Extending a brainiac prover to lambda-free higher-order logic},
author={Petar Vukmirovic and Jasmin Christian Blanchette and Simon Cruanes and Stephan Schulz},
journal={International Journal on Software Tools for Technology Transfer},
year={2019},
volume={24},
pages={67-87}
}
• Published 6 April 2019
• Computer Science
• International Journal on Software Tools for Technology Transfer
Decades of work have gone into developing efficient proof calculi, data structures, algorithms, and heuristics for first-order automatic theorem proving. Higher-order provers lag behind in terms of efficiency. Instead of developing a new higher-order prover from the ground up, we propose to start with the state-of-the-art superposition prover E and gradually enrich it with higher-order features. We explain how to extend the prover’s data structures, algorithms, and heuristics to \lambda…
23 Citations
Superposition for Lambda-Free Higher-Order Logic
• Computer Science
IJCAR
• 2018
Refutationally complete superposition calculi for intentional and extensional $$\lambda$$-free higher-order logic, two formalisms that allow partial application and applied variables, appear promising as a stepping stone towards complete, efficient automatic theorem provers for full higher- order logic.
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• 2021
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