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The category of representations of a bialgebra is monoidal. What conditions can we place on the bialgebra to guarantee that its category of reps is closed monoidal? Being a Hopf algebra is one of them. Are there more general conditions?
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Robin Piedeleu proslijedio/la je Tweet
To all members of underrepresented groups in math and CS, and to anyone who wants to help: We are organizing a summer school about applied category theory, and we would like to encourage a lot members of underrepresented groups to apply. Can you help us? (1/2)
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And is there some survey of full completeness results for all the different fragments and where to find them?
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What are fully complete models of full (propositional) linear logic, including the multiplicative, additive and exponential fragments? It seems that P.-A. Melliès' category of asynchronous games is one---any others?
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Apparently, it's not one of the papers mentioned in the answer, just another paper by some of the same authors. Still, emojis!
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One of the papers mentioned in this answer uses emojis to denote processes (and quite effectively, imo)! https://wenkokke.github.io/pubs/coordination2019.pdf …https://twitter.com/rwolffoot/status/1173540816100442114 …
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Similarly, every limit on Set induces a monad (from the usual diagonal-limit adjunction)---is there some canonical way of characterising its algebraic theory in the same way? For example, what are the algebras of the pullback monad? Has anyone thought about this before? 2/2
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Discovered on the n-category café today: https://golem.ph.utexas.edu/category/2015/06/semigroup_puzzles.html#c049235 … Rectangular bands (idempotent semigroups satisfying xyx=x) are the algebras for the monad induced by the diagonal-product adjunction. 1/2
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Robin Piedeleu proslijedio/la je Tweet
"Cables, trains and types" by Simon Gay - a basic introduction to type theory in the spirit of Computer Science Unplugged http://www.dcs.gla.ac.uk/~simon/publications/CablesTrainsTypes.pdf …pic.twitter.com/Tq8Z8dgyDV
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Sunday morning mindfulness practice: logic in http://homotopy.io pic.twitter.com/MB4bliZ9v8
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I guess the second answer to this question answers my own:https://cs.stackexchange.com/questions/48672/what-is-the-curry-howard-analogue-for-linear-logics …
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Is Curry-Howard for linear logic settled? I know there has been a lot of work on proofs as processes starting with the work of Abramsky in the 90s. Are session types for the pi-calculus the definitive answer? Does anyone know what the latest status of this question is?
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Robin Piedeleu proslijedio/la je Tweet
Animated diagram of the Earth's Carbon Cycle and how it has changed over time. Carbon, in various forms including CO2 and organic materials, is continually exchanged between the atmosphere, oceans, and biosphere. However, human activities have perturbed the carbon cycle.pic.twitter.com/TvHgi2CwUD
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Since then, I have dreamt of a similar language for complex systems in the social sciences, a language that would facilitate the development of complex models from heterogenenous components, the integration of new experimental data, and simulation at the touch of a button. 2/2
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In 2016, I was lucky to listen to an inspiring talk by Jean Krivine on the Kappa language: a rule-based process calculus for molecular biology developed by a multi-disciplinary team around
@vee3my. 1/2Prikaži ovu nitHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Very interesting read. I wonder if category-theoretic methods could help designing and studying these models:https://www.carbonbrief.org/qa-how-integrated-assessment-models-are-used-to-study-climate-change …
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“Picturing resources in concurrency”. That’s literally the title.https://twitter.com/Sydonahi/status/1102113608497020929 …
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I'm teaching a distributed systems class and looking for a concrete example where genuinely distributed mutual exclusion is needed. All examples I find have some computing device that controls access to the shared resource anyway so can be solved by centralised solutions. Ideas?
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I know that
@PawSob has thought about this more precisely in the context of monoidal categories. Another line of work that tackles these ideas is Set Operads in Combinatorics and Computer Science by MéndezPrikaži ovu nitHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi
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