This book can mark the coming of age of automated theorem proving (ATP). The process to
maturity has been a continuum, as it is for humans, but this book serves to mark the …

In this paper we re-examine the semantics of classical higher-order logic with the purpose of
clarifying the role of extensionality. To reach this goal, we distinguish nine classes of higher …

Proof-assistants using dependent type systems | Handbook of automated reasoning ACM
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In this paper we discuss inference in computational semantics. In particular, we argue that
state-of-the-art methods in first-order theorem proving and model generation are of direct …

Abstract Reasoning semantically in first-order logic is notoriously a challenge. This paper
surveys a selection of semantically-guided or model-based methods that aim at meeting …

Minlog is an interactive system which implements proof-theoretic methods and applies them
to verification and program extraction. We give an overview of Minlog and demonstrate how …

Nonmonotonic reasoning | Handbook of automated reasoning skip to main content ACM Digital
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We provide a resolution‐based proof procedure for modal, description and hybrid logic that
improves on previous proposals in important ways. It avoids translations into large …

This article presents a taxonomy of strategies for fully-automated general-purpose first-order
theorem proving. It covers forward-reasoning ordering-based strategies and backward …

We describe a system for the automated certification of safety properties of NASA software.
The system uses Hoare-style program verification technology to generate proof obligations …