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arXiv · 1907.11501

Extensional Higher-Order Paramodulation in Leo-III

Alexander Steen·Christoph Benzmüller
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Abstract

Leo-III is an automated theorem prover for extensional type theory with Henkin semantics and choice. Reasoning with primitive equality is enabled by adapting paramodulation-based proof search to higher-order logic. The prover may cooperate with multiple external specialist reasoning systems such as first-order provers and SMT solvers. Leo-III is compatible with the TPTP/TSTP framework for input formats, reporting results and proofs, and standardized communication between reasoning systems, enabling e.g. proof reconstruction from within proof assistants such as Isabelle/HOL. Leo-III supports reasoning in polymorphic first-order and higher-order logic, in all normal quantified modal logics, as well as in different deontic logics. Its development had initiated the ongoing extension of the TPTP infrastructure to reasoning within non-classical logics.

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Alexander Steen, Christoph Benzmüller. 2019-07-26. Extensional Higher-Order Paramodulation in Leo-III. https://doi.org/10.1007/s10817-021-09588-x

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