Complexity of deep inference via atomic flows

A. Das

doi:10.1007/978-3-642-30870-3_15

Complexity of deep inference via atomic flows

A. Das

Department of Computer Science

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

9 Citations (SciVal)

Abstract

We consider the fragment of deep inference free of compression mechanisms and compare its proof complexity to other systems, utilising 'atomic flows' to examine size of proofs. Results include a simulation of Resolution and dag-like cut-free Gentzen, as well as a separation from bounded-depth Frege.

Original language	English
Title of host publication	How the World Computes
Subtitle of host publication	Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, Cambridge, UK, June 18-23, 2012. Proceedings
Editors	S. Barry Cooper, Anuj Dawar, Benedikt Lowe
Place of Publication	Heidelberg, Germany
Publisher	Springer
Pages	139-150
Number of pages	12
Volume	7318 LNCS
ISBN (Print)	9783642308697
DOIs	https://doi.org/10.1007/978-3-642-30870-3_15
Publication status	Published - 2012
Event	Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012 - Cambridge, UK United Kingdom Duration: 17 Jun 2012 → 22 Jun 2012

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	7318
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012
Country/Territory	UK United Kingdom
City	Cambridge
Period	17/06/12 → 22/06/12

Access to Document

10.1007/978-3-642-30870-3_15

Cite this

Das, A. (2012). Complexity of deep inference via atomic flows. In S. B. Cooper, A. Dawar, & B. Lowe (Eds.), How the World Computes: Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, Cambridge, UK, June 18-23, 2012. Proceedings (Vol. 7318 LNCS, pp. 139-150). (Lecture Notes in Computer Science; Vol. 7318). Springer. https://doi.org/10.1007/978-3-642-30870-3_15

Complexity of deep inference via atomic flows. / Das, A.
How the World Computes: Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, Cambridge, UK, June 18-23, 2012. Proceedings. ed. / S. Barry Cooper; Anuj Dawar; Benedikt Lowe. Vol. 7318 LNCS Heidelberg, Germany: Springer, 2012. p. 139-150 (Lecture Notes in Computer Science; Vol. 7318).

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

Das, A 2012, Complexity of deep inference via atomic flows. in SB Cooper, A Dawar & B Lowe (eds), How the World Computes: Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, Cambridge, UK, June 18-23, 2012. Proceedings. vol. 7318 LNCS, Lecture Notes in Computer Science, vol. 7318, Springer, Heidelberg, Germany, pp. 139-150, Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, Cambridge, UK United Kingdom, 17/06/12. https://doi.org/10.1007/978-3-642-30870-3_15

Das A. Complexity of deep inference via atomic flows. In Cooper SB, Dawar A, Lowe B, editors, How the World Computes: Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, Cambridge, UK, June 18-23, 2012. Proceedings. Vol. 7318 LNCS. Heidelberg, Germany: Springer. 2012. p. 139-150. (Lecture Notes in Computer Science). doi: 10.1007/978-3-642-30870-3_15

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Complexity of deep inference via atomic flows

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