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Automated reasoning in higher-order logic using the TPTP THF infrastructure. (English) Zbl 1211.68371

Summary: The Thousands of Problems for Theorem Provers (TPTP) problem library is the basis of a well-known and well-established infrastructure that supports research, development, and deployment of Automated Theorem Proving (ATP) systems. The extension of the TPTP from first-order form (FOF) logic to typed higher-order form (THF) logic has provided a basis for new development and application of ATP systems for higher-order logic. Key developments have been the specification of the THF language, the addition of higher-order problems to the TPTP, the development of the TPTP THF infrastructure, several ATP systems for higher-order logic, and the use of higher-order ATP in a range of domains. This paper describes these developments.

MSC:

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
03B15 Higher-order logic; type theory (MSC2010)