Home > Research > Publications & Outputs > Sequent Calculus for Euler Diagrams

Links

Text available via DOI:

View graph of relations

Sequent Calculus for Euler Diagrams

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

Published

Standard

Sequent Calculus for Euler Diagrams. / Linker, Sven.
Diagrammatic Representation and Inference: 10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. ed. / Peter Chapman; Gem Stapleton; Amirouche Moktefi; Sarah Perez-Kriz; Francesco Bellucci. Cham: Springer, 2018. p. 399-407 (Lecture Notes in Computer Science; Vol. 10871).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

Harvard

Linker, S 2018, Sequent Calculus for Euler Diagrams. in P Chapman, G Stapleton, A Moktefi, S Perez-Kriz & F Bellucci (eds), Diagrammatic Representation and Inference: 10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. Lecture Notes in Computer Science, vol. 10871, Springer, Cham, pp. 399-407. https://doi.org/10.1007/978-3-319-91376-6_37

APA

Linker, S. (2018). Sequent Calculus for Euler Diagrams. In P. Chapman, G. Stapleton, A. Moktefi, S. Perez-Kriz, & F. Bellucci (Eds.), Diagrammatic Representation and Inference: 10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings (pp. 399-407). (Lecture Notes in Computer Science; Vol. 10871). Springer. https://doi.org/10.1007/978-3-319-91376-6_37

Vancouver

Linker S. Sequent Calculus for Euler Diagrams. In Chapman P, Stapleton G, Moktefi A, Perez-Kriz S, Bellucci F, editors, Diagrammatic Representation and Inference: 10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. Cham: Springer. 2018. p. 399-407. (Lecture Notes in Computer Science). Epub 2018 May 17. doi: 10.1007/978-3-319-91376-6_37

Author

Linker, Sven. / Sequent Calculus for Euler Diagrams. Diagrammatic Representation and Inference: 10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. editor / Peter Chapman ; Gem Stapleton ; Amirouche Moktefi ; Sarah Perez-Kriz ; Francesco Bellucci. Cham : Springer, 2018. pp. 399-407 (Lecture Notes in Computer Science).

Bibtex

@inbook{5d388f0e69894099a80c759f22dd7f46,
title = "Sequent Calculus for Euler Diagrams",
abstract = "Proof systems play a major role in the formal study of diagrammatic logical systems. Typically, the style of inference is not directly comparable to traditional sentential systems, to study the diagrammatic aspects of inference. In this work, we present a proof system for Euler diagrams with shading in the style of sequent calculus. We prove it to be sound and complete. Furthermore we outline how this system can be extended to incorporate heterogeneous logical descriptions. Finally, we explain how small changes allow for reasoning with intuitionistic logic.",
author = "Sven Linker",
year = "2018",
month = jun,
day = "18",
doi = "10.1007/978-3-319-91376-6_37",
language = "English",
isbn = "9783319913759",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "399--407",
editor = "Chapman, {Peter } and Gem Stapleton and Amirouche Moktefi and Sarah Perez-Kriz and Francesco Bellucci",
booktitle = "Diagrammatic Representation and Inference",

}

RIS

TY - CHAP

T1 - Sequent Calculus for Euler Diagrams

AU - Linker, Sven

PY - 2018/6/18

Y1 - 2018/6/18

N2 - Proof systems play a major role in the formal study of diagrammatic logical systems. Typically, the style of inference is not directly comparable to traditional sentential systems, to study the diagrammatic aspects of inference. In this work, we present a proof system for Euler diagrams with shading in the style of sequent calculus. We prove it to be sound and complete. Furthermore we outline how this system can be extended to incorporate heterogeneous logical descriptions. Finally, we explain how small changes allow for reasoning with intuitionistic logic.

AB - Proof systems play a major role in the formal study of diagrammatic logical systems. Typically, the style of inference is not directly comparable to traditional sentential systems, to study the diagrammatic aspects of inference. In this work, we present a proof system for Euler diagrams with shading in the style of sequent calculus. We prove it to be sound and complete. Furthermore we outline how this system can be extended to incorporate heterogeneous logical descriptions. Finally, we explain how small changes allow for reasoning with intuitionistic logic.

U2 - 10.1007/978-3-319-91376-6_37

DO - 10.1007/978-3-319-91376-6_37

M3 - Chapter (peer-reviewed)

SN - 9783319913759

T3 - Lecture Notes in Computer Science

SP - 399

EP - 407

BT - Diagrammatic Representation and Inference

A2 - Chapman, Peter

A2 - Stapleton, Gem

A2 - Moktefi, Amirouche

A2 - Perez-Kriz, Sarah

A2 - Bellucci, Francesco

PB - Springer

CY - Cham

ER -