@inproceedings{b41d9170a9fe44cdb66242692ce4931a,
title = "Combining norms to prove termination",
abstract = "Automatic termination analysers typically measure the size of terms applying norms which are mappings from terms to the natural numbers. This paper illustrates how to enable the use of size functions defined as tuples of these simpler norm functions. This approach enables us to simplify the problem of deriving automatically a candidate norm with which to prove termination. Instead of deriving a single, complex norm function, it is sufficient to determine a collection of simpler norms, some combination of which, leads to a proof of termination. We propose that a collection of simple norms, one for each of the recursive data-types in the program, is often a suitable choice. We first demonstrate the power of combining norm functions and then the adequacy of combining norms based on regular types.",
author = "Samir Genaim and Michael Codish and John Gallagher and Vitaly Lagoon",
year = "2002",
month = jan,
day = "1",
doi = "10.1007/3-540-47813-2\_9",
language = "English",
isbn = "3540436316",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "126--138",
editor = "Agostino Cortesi",
booktitle = "Verification, Model Checking, and Abstract Interpretation - Third International Workshop, VMCAI 2002, Revised Papers",
address = "Germany",
note = "3rd International Workshop on Verification, Model Checking, and Abstract Interpretation, VMCAI 2002 ; Conference date: 21-01-2002 Through 22-01-2002",
}