2 Search Results for "Guerrini, Stefano"

Document
Invited Talk
DOI: 10.4230/LIPIcs.FSCD.2023.3
A Lambda Calculus Satellite (Invited Talk)

Authors: Giulio Manzonetto

Published in: LIPIcs, Volume 260, 8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023)

Abstract
We shortly summarize the contents of the book "A Lambda Calculus Satellite", presented at the 8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023).
Cite as

Giulio Manzonetto. A Lambda Calculus Satellite (Invited Talk). In 8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 260, pp. 3:1-3:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

Copy BibTex To Clipboard

@InProceedings{manzonetto:LIPIcs.FSCD.2023.3,
  author =	{Manzonetto, Giulio},
  title =	{{A Lambda Calculus Satellite}},
  booktitle =	{8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023)},
  pages =	{3:1--3:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-277-8},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{260},
  editor =	{Gaboardi, Marco and van Raamsdonk, Femke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2023.3},
  URN =		{urn:nbn:de:0030-drops-179878},
  doi =		{10.4230/LIPIcs.FSCD.2023.3},
  annote =	{Keywords: \lambda-calculus, rewriting, denotational models, equational theories}
}
Document
DOI: 10.4230/LIPIcs.FSCD.2017.17
Is the Optimal Implementation Inefficient? Elementarily Not

Authors: Stefano Guerrini and Marco Solieri

Published in: LIPIcs, Volume 84, 2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017)

Abstract
Sharing graphs are a local and asynchronous implementation of lambda-calculus beta-reduction (or linear logic proof-net cut-elimination) that avoids useless duplications. Empirical benchmarks suggest that they are one of the most efficient machineries, when one wants to fully exploit the higher-order features of lambda-calculus. However, we still lack confirming grounds with theoretical solidity to dispel uncertainties about the adoption of sharing graphs. Aiming at analysing in detail the worst-case overhead cost of sharing operators, we restrict to the case of elementary and light linear logic, two subsystems with bounded computational complexity of multiplicative exponential linear logic. In these two cases, the bookkeeping component is unnecessary, and sharing graphs are simplified to the so-called "abstract algorithm". By a modular cost comparison over a syntactical simulation, we prove that the overhead of shared reductions is quadratically bounded to cost of the naive implementation, i.e. proof-net reduction. This result generalises and strengthens a previous complexity result, and implies that the price of sharing is negligible, if compared to the obtainable benefits on reductions requiring a large amount of duplication.
Cite as

Stefano Guerrini and Marco Solieri. Is the Optimal Implementation Inefficient? Elementarily Not. In 2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 84, pp. 17:1-17:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

Copy BibTex To Clipboard

@InProceedings{guerrini_et_al:LIPIcs.FSCD.2017.17,
  author =	{Guerrini, Stefano and Solieri, Marco},
  title =	{{Is the Optimal Implementation Inefficient? Elementarily Not}},
  booktitle =	{2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017)},
  pages =	{17:1--17:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-047-7},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{84},
  editor =	{Miller, Dale},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2017.17},
  URN =		{urn:nbn:de:0030-drops-77337},
  doi =		{10.4230/LIPIcs.FSCD.2017.17},
  annote =	{Keywords: optimality, sharing graphs, lambda-calculus, complexity, linear logic, proof nets}
}
  • Refine by Author
  • 1 Guerrini, Stefano
  • 1 Manzonetto, Giulio
  • 1 Solieri, Marco

  • Refine by Classification
  • 1 Theory of computation → Lambda calculus

  • Refine by Keyword
  • 1 complexity
  • 1 denotational models
  • 1 equational theories
  • 1 lambda-calculus
  • 1 linear logic
  • Show More...

  • Refine by Type
  • 2 document

  • Refine by Publication Year
  • 1 2017
  • 1 2023

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail
© 2023-2024 Schloss Dagstuhl – LZI GmbH Imprint Privacy Contact