Meta-Interpreter Termination Analysis

Title: Meta-Interpreter Termination Analysis

Abstract: This research article presents a methodology for performing a correct termination analysis for a broad class of meta-interpreters along with different classes of object programs. The approach is based on a "combined" approach to termination analysis, which allows for the reuse of the termination proof of the object program for the meta-program. The methodology is applied to the famous "vanilla" meta-interpreter M0 and extended meta-interpreters, and it is shown that termination is usually improved. The paper concludes with a discussion of the implications and potential applications of the research.

Main Research Question: How can we develop a methodology for performing a correct termination analysis for a broad class of meta-interpreters along with different classes of object programs, while allowing for the reuse of the termination proof of the object program for the meta-program?

Methodology: The methodology presented in this paper is based on a "combined" approach to termination analysis, which combines the transformational and direct approaches. This approach allows for the generation of termination proofs that are both compositional and sound. The methodology is applied to the "vanilla" meta-interpreter M0 and extended meta-interpreters, and it is shown that termination is usually improved.

Results: The research results include the development of a methodology for performing a correct termination analysis for a broad class of meta-interpreters along with different classes of object programs. The methodology is applied to the "vanilla" meta-interpreter M0 and extended meta-interpreters, and it is shown that termination is usually improved.

Implications: The implications of this research are significant for the field of logic programming and meta-programming. The developed methodology allows for the analysis of a broad class of meta-interpreters and object programs, and it provides a way to reuse the termination proof of the object program for the meta-program. This can lead to more efficient and accurate termination analyses, which are crucial for the development of reliable and efficient meta-interpreters.

Conclusion: In conclusion, this research presents a methodology for performing a correct termination analysis for a broad class of meta-interpreters along with different classes of object programs. The methodology is based on a "combined" approach to termination analysis, which allows for the reuse of the termination proof of the object program for the meta-program. The research results and implications are significant for the field of logic programming and meta-programming, and they can lead to more efficient and accurate termination analyses for meta-interpreters.

Link to Article: https://arxiv.org/abs/0110035v1 Authors: arXiv ID: 0110035v1