Type-Theory of Acyclic Algorithms with Generalised Immediate Terms

Roussanka Loukanova

2019

Abstract

The paper extends the higher-order, type-theory Lλ ar of acyclic algorithms by classifying some explicit terms as generalised immediate terms. We introduce a restricted, specialised iβ-rule and reduction of generalised immediate terms to their iβ-canonical forms. Then, we incorporate the iβ-rule in the reduction calculus of Lλ ar. The new reduction calculus provides more efficient algoritms for computation of values of terms, by using iterative calculations.

Paper Citation

in Harvard Style

Loukanova R. (2019). Type-Theory of Acyclic Algorithms with Generalised Immediate Terms.In Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART, ISBN 978-989-758-350-6, pages 746-754. DOI: 10.5220/0007410207460754

in Bibtex Style

@conference{icaart19,
author={Roussanka Loukanova},
title={Type-Theory of Acyclic Algorithms with Generalised Immediate Terms},
booktitle={Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,},
year={2019},
pages={746-754},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007410207460754},
isbn={978-989-758-350-6},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,
TI - Type-Theory of Acyclic Algorithms with Generalised Immediate Terms
SN - 978-989-758-350-6
AU - Loukanova R.
PY - 2019
SP - 746
EP - 754
DO - 10.5220/0007410207460754