Arnaud Fietzke

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LEO-II is a standalone, resolution-based higher-order theorem prover designed for effective cooperation with specialist provers for natural fragments of higher-order logic. At present LEO-II can cooperate with the first-order automated theorem provers E, SPASS, and Vampire. The improved performance of LEO-II, especially in comparison to its predecessor LEO,(More)
Leo-II, a resolution based theorem prover for classical higherorder logic, is currently being developed in a one year research project at the University of Cambridge, UK, with support from Saarland University, Germany. We report on the current stage of development of LeoII. In particular, we sketch some main aspects of Leo-II’s automated proof search(More)
The success of superposition-based theorem proving in first-order logic relies in particular on the fact that the superposition calculus is able to decide well-known classical decidable fragments of first-order logic and has been successful in identifying new decidable classes. In this paper, we extend this story to the hierarchic combination of linear(More)
We define a superposition calculus with explicit splitting on the basis of labelled clauses. For the first time we show a superposition calculus with an explicit non-chronological backtracking rule sound and complete. The new backtracking rule advances backtracking with branch condensing known from SPASS. An experimental evaluation of an implementation of(More)
LEO-II is a standalone, resolution-based higher-order theorem prover designed for effective cooperation with specialist provers for natural fragments of higher-order logic. At present LEO-II can cooperate with the first-order automated theorem provers E, SPASS, and Vampire. The improved performance of LEO-II, especially in comparison to its predecessor LEO,(More)