Which category of system service provides tools such as compilers and debuggers for programming languages?

The category that provides tools such as compilers and debuggers for programming languages is indeed Programming-Language Support. This category specifically includes software tools that facilitate the development of applications by aiding programmers in writing, analyzing, and debugging their code. Compilers translate high-level programming languages into machine code that the computer can execute, while debuggers help identify and correct errors in the program during development.

This distinction is crucial, as Programming-Language Support is essential for developers to create efficient and error-free software and is tailored specifically to the needs and requirements of different programming languages. Other categories such as Hardware Support, Operating System Functions, and System Utilities do not encompass these tools, focusing instead on different aspects of system functionality or maintenance.