Français
Weighted relational models
Multi angle
Authors : McCusker, Guy (Author of the conference)
CIRM (Publisher )
03B70 - Logic of programming, See also {68Q55, 68Q60}
68N15 - Programming languages
68N18 - Functional programming and lambda calculus
68Q55 - Semantics
Additional resources :
https://www.cirm-math.fr/RepOrga/2980/Slides/mccusker-dill.pdf
CIRM (Publisher )
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Abstract :
Many models of (differential) linear logic and lambda-calculus can be regarded as a quantitative enrichment of the relational semantics of linear logic. This talk presents an introduction to these models, taking a simple but flexible approach. Relations can be enriched with coefficients drawn from any complete semiring — a structure which allows multiplication and infinite summation of quantities — and in each case we obtain a soundness result with respect to a quantitative operational semantics for a functional language with recursion, nondeterminism and quantitative effects. Examples include models that track the number of possible reduction paths, the length of the shortest reduction path, or the probability of termination of a program.
Keywords : quantitative semantics; linear logic; lambda calculus
MSC Codes : Keywords : quantitative semantics; linear logic; lambda calculus
03B70 - Logic of programming, See also {68Q55, 68Q60}
68N15 - Programming languages
68N18 - Functional programming and lambda calculus
68Q55 - Semantics
Additional resources :
https://www.cirm-math.fr/RepOrga/2980/Slides/mccusker-dill.pdf
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 03/06/2024 Conference Date : 14/05/2024 Subseries : Research talks arXiv category : Logic in Computer Science ; Programming Languages Mathematical Area(s) : Computer Science ; Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:57:42 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-05-14-Mccusker.mp4 
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Information on the Event
Event Title : Differential $\lambda $-Calculus and Differential Linear Logic, 20 Years Later / $\lambda $--calcul différentiel et logique linéaire différentielle, 20 ans aprèsEvent Organizers : Cerda, Rémy ; Guerrieri, Giulio ; Olimpieri, Federico ; Tasson, Christine ; Vaux Auclair, Lionel Dates : 13/05/2024 - 17/05/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/2980.html
Citation Data
DOI : 10.24350/CIRM.V.20170603Cite this video as: McCusker, Guy (2024). Weighted relational models. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20170603 URI : http://dx.doi.org/10.24350/CIRM.V.20170603 |
See Also
- [Multi angle] Böhm trees and Taylor expansion / Author of the conference Manzonetto, Giulio.
- [Multi angle] Differential categories / Author of the conference Lemay, Jean-Simon.
- [Multi angle] An introduction to Differential Linear Logic / Author of the conference Kerjean, Marie.
- [Multi angle] Differential categories from functor calculus / Author of the conference Johnson, Brenda.
Bibliography
- EHRHARD, Thomas. Finiteness spaces. Mathematical Structures in Computer Science, 2005, vol. 15, no 4, p. 615-646. - https://doi.org/10.1017/S0960129504004645
- EHRHARD, Thomas, TASSON, Christine, et PAGANI, Michele. Probabilistic coherence spaces are fully abstract for probabilistic PCF. In : Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages. 2014. p. 309-320. - https://doi.org/10.1145/2535838.2535865
- LAMARCHE, François. Quantitative domains and infinitary algebras. Theoretical computer science, 1992, vol. 94, no 1, p. 37-62. - https://doi.org/10.1016/0304-3975(92)90323-8
- LAIRD, Jim, MANZONETTO, Giulio, MCCUSKER, Guy, et al. Weighted relational models of typed lambda-calculi. In : 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science. IEEE, 2013. p. 301-310. - https://doi.org/10.1109/LICS.2013.36
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