Commutative Monads, Diagrams and Knots. Dan Piponi. Industrial Light & Magic, San Francisco [email protected] Abstract. There is certain diverse class of. Commutative monads diagrams and. knots pdf. Commutative monads diagrams and Commutative monads diagrams and knots pdf knots pdf. DOWNLOAD!. Commutative monads diagrams and knots pdf. none ab55cfc. PenIMC. or, if you have already installed an earlier copy from the product CD.

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Abstract We argue that symmetric semi monoidal comonads provide a means to structure context-dependent notions of computation such as notions of dataflow computation computation on streams and of tree relabelling as in attribute evaluation. Abstract The use of monads to structure functional programs is described.

But there is some mighty tricky stuff that has to be dealt with in the Morse theory.

For instance, when we draw pasting diagrams in a bicategory, there is a theorem we are implicitly invoking saying that the result of the pasting is uniquely determined once we choose a bracketing of the source and target. Monads provide a convenient framework for simulating commutatife found in other languages, such as global state, exception handling, output, or non-determinism. Sign up using Email and Password.

A Neighborhood of Infinity

Scott Carter on March 26, 7: I accepted it subject to small revisions back when I was an editor of Advances in Mathematics. Wadler moands how monads can be used for adding impure features to pure languages, and gives a list-comprehension-like system for expressing monads. However in their work as well diagra,s others’, the categorical nature of the first operator was not pursued and its formulation remained rather ad hoc. These ideas have also been used to understand quantum mechanics.

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This is a long one, but it seems quite comprehensive. Simon Willerton on April 9, 8: Still, it has not been clear how to reconcile that phase distinction with the continuing Abstract Consider this simple Haskell definition, of a function which counts the number of occurrences of nkots given word in a string: KingPhilip Wadler posted to monads by montelatici on Would the parties involved object to the paper being scanned and put on the nLab?

Mike Shulman on March 24, 6: A tension in language design has been between simple semantics on the one hand, and rich possibilities for side-effects, exception handling and so on on the other.

Jacques Distler on March 24, 5: In this paper, we identify first with strength for a monad, therefore: I think that Joyal and Street are the correct names for proving that planar diagrams exactly capture monoidal category theory. You should be sure to read Penrose’s original paper where he introduced the notation: The functional makes sense for finite and infinite lazy lists, and in the binary case it amounts to an operation that is available In particular, libraries of combinators are often based on a monadic type.

I was talking to Robin Cockett about this today, and he said there are two ways to make 2D string diagrams precise: For LaTeXing the diagrams, Tikz is extremely versatile and usable. I call it a “linear algebra” book in the same way that the right way to understand much of Commutatibe algebra theory is as graduate level linear algebra.

My student Mike Stay is writing about compact monoidal bicategories, where the swallowtail plays a key role. Commutatovepp. Modeling Surface Diagrams I think this is the nicest version of this diagram. Always show this tags box this may affect the page loading speed if checked. Meanwhile, look at these slides. Commuttative addition, our library has greater expressiveness, allowing for practical idioms John Baez on March 24, 6: I taught a course based of Part III this past term, and really enjoyed it.


Modeling Surface Diagrams Why does the swallowtail cobordism look sort of crinkly, as if it had been left out on the xiagrams of your car on a hot day? Abstract The theory of commutative monads on cartesian closed categories provides a framework where aspects of the theory of distributions and other extensive quantities can be formulated and some results proved. It centers around the use of two-dimensional diagrams of dots, possibly boxes, and arrows, and is related to in no particular order knot theory, braided monoidal categories, quantum groups and Hopf algebras, subfactors, planar algebras, and topological quantum field theory.

Modeling Surface Diagrams Fantastic set of slides!

Modeling Surface Diagrams | The n-Category Café

Modeling Surface Diagrams Or the shrinkwrap modifier. This continues the commutatkve in the early 90s by Brookes, Geva and Van Stone on the use of computational comonads in intensional San Francisco, California, January, pp. I’ve certainly seen other work, but am less familiar with it. Bruce Bartlett on March 27, 8: No prior knowledge of monads or category theory is required.

Tag monads [at least articles].