The Higher-Order Prover Leo-III (Extended Version)
This is an incremental improvement for automated reasoning in higher-order logic, building on existing methods.
The paper presents Leo-III, an automated theorem prover for classical higher-order logic that supports various TPTP dialects and modal logics, and it is evaluated on benchmark sets.
The automated theorem prover Leo-III for classical higher-order logic with Henkin semantics and choice is presented. Leo-III is based on extensional higher-order paramodulation and accepts every common TPTP dialect (FOF, TFF, THF), including their recent extensions to rank-1 polymorphism (TF1, TH1). In addition, the prover natively supports almost every normal higher-order modal logic. Leo-III cooperates with first-order reasoning tools using translations to many-sorted first-order logic and produces verifiable proof certificates. The prover is evaluated on heterogeneous benchmark sets.