# On the Computational Content of Termination Proofs

@inproceedings{Moser2015OnTC, title={On the Computational Content of Termination Proofs}, author={Georg Moser and Thomas Powell}, booktitle={Conference on Computability in Europe}, year={2015} }

Given that a program has been shown to terminate using a particular proof, it is natural to ask what we can infer about its complexity. In this paper we outline a new approach to tackling this question in the context of term rewrite systems and recursive path orders. From an inductive proof that recursive path orders are well-founded, we extract an explicit realiser which bounds the derivational complexity of rewrite systems compatible with these orders. We demonstrate that by analysing our…

## 3 Citations

### A proof theoretic study of abstract termination principles

- Computer ScienceJ. Log. Comput.
- 2019

A general termination principle is outlined and extracts from its wellfoundedness proof subrecursive bounds on the size of derivation trees that can be defined in Gödel’s system T plus bar recursion.

### Dependent choice as a termination principle

- Computer ScienceArch. Math. Log.
- 2020

A new formulation of the axiom of dependent choice is introduced, which can be viewed as an abstract termination principle that in particular generalises recursive path orderings and relates them to general termination theorems in the literature.

### Dependent choice as a termination principle

- Computer ScienceArchive for Mathematical Logic
- 2020

A new formulation of the axiom of dependent choice is introduced, which can be viewed as an abstract termination principle that in particular generalises recursive path orderings and relates them to general termination theorems in the literature.

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