1. ISTQB® Certified Tester Foundation Level Syllabus (Version 2018 V3.1.1):
Section 6.2.3, "Tool Support for Test Execution and Logging," explicitly lists "Test comparators" as a type of tool in this category. The syllabus states this group includes tools for "executing tests and logging the results." A comparator's function of comparing actual and expected outcomes is a key part of validating these logged results.
2. Black, R. (2019). ISTQB Foundation Level Syllabus 2018: A Study Guide. Rocky Nook.
Chapter 6, "Tool Support for Testing," classifies test comparators under the heading of test execution tools. It explains that these tools are used to detect differences between the actual files, databases, or screens produced by a test and the expected results, which is an activity performed during or after execution.
3. Naik, K., & Tripathy, P. (2008). Software Testing and Quality Assurance: Theory and Practice. Wiley.
Chapter 16, "Test Automation," Section 16.4.2, "Test Execution Automation," discusses the components of a test execution framework. It describes the role of a "comparator" as the component that compares the actual output captured during execution with the expected output stored in the test case, placing it squarely within the execution toolset.