Infinitary term graph rewriting is simple, sound and complete

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Standard

Infinitary term graph rewriting is simple, sound and complete. / Bahr, Patrick.

23rd International Conference on Rewriting Techniques and Applications (RTA'12). ed. / Ashish Tiwari. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012. p. 69-84 (Leibniz International Proceedings in Informatics, Vol. 15).

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Harvard

Bahr, P 2012, Infinitary term graph rewriting is simple, sound and complete. in A Tiwari (ed.), 23rd International Conference on Rewriting Techniques and Applications (RTA'12). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Leibniz International Proceedings in Informatics, vol. 15, pp. 69-84, 23rd International Conference on Rewriting Techniques and Applications, Nagoya, Japan, 28/05/2012. https://doi.org/10.4230/LIPIcs.RTA.2012.69

APA

Bahr, P. (2012). Infinitary term graph rewriting is simple, sound and complete. In A. Tiwari (Ed.), 23rd International Conference on Rewriting Techniques and Applications (RTA'12) (pp. 69-84). Schloss Dagstuhl - Leibniz-Zentrum für Informatik. Leibniz International Proceedings in Informatics Vol. 15 https://doi.org/10.4230/LIPIcs.RTA.2012.69

Vancouver

Bahr P. Infinitary term graph rewriting is simple, sound and complete. In Tiwari A, editor, 23rd International Conference on Rewriting Techniques and Applications (RTA'12). Schloss Dagstuhl - Leibniz-Zentrum für Informatik. 2012. p. 69-84. (Leibniz International Proceedings in Informatics, Vol. 15). https://doi.org/10.4230/LIPIcs.RTA.2012.69

Author

Bahr, Patrick. / Infinitary term graph rewriting is simple, sound and complete. 23rd International Conference on Rewriting Techniques and Applications (RTA'12). editor / Ashish Tiwari. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012. pp. 69-84 (Leibniz International Proceedings in Informatics, Vol. 15).

Bibtex

@inproceedings{b1da3943daf8438b87bb5e1e4071eb4e,
title = "Infinitary term graph rewriting is simple, sound and complete",
abstract = "Based on a simple metric and a simple partial order on term graphs, we develop two infinitary calculi of term graph rewriting. We show that, similarly to infinitary term rewriting, the partial order formalisation yields a conservative extension of the metric formalisation of the calculus. By showing that the resulting calculi simulate the corresponding well-established infinitary calculi of term rewriting in a sound and complete manner, we argue for the appropriateness of our approach to capture the notion of infinitary term graph rewriting.",
keywords = "Faculty of Science, term graphs, infinitary rewriting, simulation, normalising, strong convergence",
author = "Patrick Bahr",
year = "2012",
doi = "10.4230/LIPIcs.RTA.2012.69",
language = "English",
series = "Leibniz International Proceedings in Informatics",
publisher = "Schloss Dagstuhl - Leibniz-Zentrum f{\"u}r Informatik",
pages = "69--84",
editor = "Ashish Tiwari",
booktitle = "23rd International Conference on Rewriting Techniques and Applications (RTA'12)",
note = "23rd International Conference on Rewriting Techniques and Applications, RTA'12 ; Conference date: 28-05-2012 Through 02-06-2012",

}

RIS

TY - GEN

T1 - Infinitary term graph rewriting is simple, sound and complete

AU - Bahr, Patrick

N1 - Conference code: 23

PY - 2012

Y1 - 2012

N2 - Based on a simple metric and a simple partial order on term graphs, we develop two infinitary calculi of term graph rewriting. We show that, similarly to infinitary term rewriting, the partial order formalisation yields a conservative extension of the metric formalisation of the calculus. By showing that the resulting calculi simulate the corresponding well-established infinitary calculi of term rewriting in a sound and complete manner, we argue for the appropriateness of our approach to capture the notion of infinitary term graph rewriting.

AB - Based on a simple metric and a simple partial order on term graphs, we develop two infinitary calculi of term graph rewriting. We show that, similarly to infinitary term rewriting, the partial order formalisation yields a conservative extension of the metric formalisation of the calculus. By showing that the resulting calculi simulate the corresponding well-established infinitary calculi of term rewriting in a sound and complete manner, we argue for the appropriateness of our approach to capture the notion of infinitary term graph rewriting.

KW - Faculty of Science

KW - term graphs

KW - infinitary rewriting

KW - simulation

KW - normalising

KW - strong convergence

U2 - 10.4230/LIPIcs.RTA.2012.69

DO - 10.4230/LIPIcs.RTA.2012.69

M3 - Article in proceedings

T3 - Leibniz International Proceedings in Informatics

SP - 69

EP - 84

BT - 23rd International Conference on Rewriting Techniques and Applications (RTA'12)

A2 - Tiwari, Ashish

PB - Schloss Dagstuhl - Leibniz-Zentrum für Informatik

T2 - 23rd International Conference on Rewriting Techniques and Applications

Y2 - 28 May 2012 through 2 June 2012

ER -

ID: 38429358