System Description: Leo – A Resolution based Higher-Order Theorem Prover
نویسنده
چکیده
We present Leo, a resolution based theorem prover for classical higher-order logic. It can be employed as both an fully automated theorem prover and an interactive theorem prover. Leo has been implemented as part of the Ωmega environment [23] and has been integrated with the Ωmega proof assistant. Higher-order resolution proofs developed with Leo can be displayed and communicated to the user via Ωmega’s graphical user interface Loui. The Leo system has recently been successfully coupled with a first-order resolution theorem prover (Bliksem).
منابع مشابه
LEO-II - A Cooperative Automatic Theorem Prover for Classical Higher-Order Logic (System Description)
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, is due to several novel features incl...
متن کاملSystem Description: LEO - A Higher-Order Theorem Prover
Many (mathematical) problems, such as Cantor’s theorem, can be expressed very elegantly in higher-order logic, but lead to an exhaustive and un-intuitive formulation when coded in first-order logic. Thus, despite the difficulty of higher-order automated theorem proving, which has to deal with problems like the undecidability of higher-order unification (HOU) and the need for primitive substitut...
متن کاملLEO-II - A Cooperative Automatic Theorem Prover for Classical Higher-Order Logic⋆
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, is due to several novel features incl...
متن کاملProgress Report on Leo-II, an Automatic Theorem Prover for Higher-Order Logic⋆
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 procedure, discuss its cooperation with firs...
متن کاملOverview on Leo-ii Leo-ii and Tptp
LEO-II is a standalone, resolution-based higher-order theorem prover that is designed for fruitful cooperation with specialist provers for first-order and propositional logic. The idea is to combine the strengths of the different systems. On the other hand, LEO-II itself, as an external reasoner, wants to support interactive proof assistants such as Isabelle/HOL, HOL, and OMEGA by efficiently a...
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