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higher-order logic

Concept

Higher-order logic (HOL) is identified in the evidence as one of the logics supported by Isabelle, and as the logic used for test specifications in HOL-TestGen on top of Isabelle/HOL.

First seen 5/25/2026
Last seen 5/26/2026
Evidence 2 chunks
Wiki v1

WIKI

Overview

Higher-order logic (HOL) is presented in the evidence as a major logic supported by the Isabelle proof-assistant framework. Isabelle is described as customizable to multiple logics, including first-order logic (FOL), Zermelo-Fraenkel set theory (ZF), and, most notably, higher-order logic (HOL).

Role in Isabelle/HOL

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NEIGHBORHOOD

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RELATIONSHIPS

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HOL-TestGen ← uses 100% 1e
HOL-TestGen expresses test specifications in higher-order logic.

CITATIONS

4 sources
4 citations — click to collapse
[1] Isabelle supports higher-order logic among other logics. Test Program Generation for a Microprocessor: A Case Study
[2] The HOL instance of Isabelle supports specification constructs including type definitions, recursive function definitions with termination proofs, and inductive set definitions. Test Program Generation for a Microprocessor: A Case Study
[3] HOL-TestGen is built on top of Isabelle/HOL and expresses test specifications in higher-order logic. Test Program Generation for a Microprocessor: A Case Study
[4] A formal VAMP processor model developed in Isabelle/HOL was reused for generating tests to check hardware conformance. Test Program Generation for a Microprocessor: A Case Study