Abstract The Thousands of Problems for Theorem Provers (TPTP) problem library is the
basis of a well known and well established infrastructure that supports research …

How close are we to a world where every paper on programming languages is
accompanied by an electronic appendix with machine-checked proofs? We propose an …

A framework and methodology—termed LogiKEy—for the design and engineering of ethical
reasoners, normative theories and deontic logics is presented. The overall motivation is the …

This is the first comprehensive textbook on higher-order logic that is written specifically to
introduce the subject matter to graduate students in philosophy. The book covers both the …

Abstract The Thousands of Problems for Theorem Provers (TPTP) World is a well-
established infrastructure that supports research, development and deployment of …

Classical higher-order logic, when utilized as a meta-logic in which various other (classical
and non-classical) logics can be shallowly embedded, is suitable as a foundation for the …

Leo-II is an automated theorem prover for classical higher-order logic. The prover has
pioneered cooperative higher-order–first-order proof automation, it has influenced the …

We present an embedding of quantified multimodal logics into simple type theory and prove
its soundness and completeness. A correspondence between QKπ models for quantified …

This three-part chapter explores a higher-order logic we call 'Classicism', which extends a
minimal classical higher-order logic with further axioms which guarantee that provable …

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 …