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Results tagged with reference-request
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user 1610
This tag is used if a reference is needed in a paper or textbook on a specific result.
6
votes
0
answers
200
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Lambek calculus, linear logic, and linear algebra
In his 1958 paper, The Mathematics of Sentence Structure, Joachim Lambek introduced the Lambek calculus. In modern terms, it could be understood as a syntax for biclosed
monoidal categories, and he r …
- 9,201
5
votes
A functor whose initial algebra is another's terminal coalgebra
Here's a sequence of answers.
The set of streams of elements of $A$ can be thought of as the final coalgebra $\nu F$ of the functor $F(X) = A \times X$. It is also the initial algebra of the functo …
- 9,201
21
votes
[solved] sequent calculus as programming language
There is no single answer to this question, because of the high degree of nondeterminism inherent in the sequent calculus -- to get a computational interpretation, you need to resolve the ambiguity, a …
- 9,201
4
votes
Comprehensive reference for synthetic euclidean geometry
Jeremy Avigad, Edward Dean, and John Mumma have an article in the Review of Symbolic Logic, A Formal System for Euclid's Elements (arxiv), which (a) gives a sequent calculus for the arguments used in …
57
votes
Is there an introduction to probability theory from a structuralist/categorical perspective?
A few months ago, Terry Tao had a really insightful post about "the probabilistic way of thinking", in which he suggested that a nice category of probability spaces was one in which the objects were p …
- 9,201
15
votes
Do you know any good introductory resource on sequent calculus?
Girard's Proofs and Types contains a good intro to this stuff. A translation to English by Paul Taylor and Yves Lafont is available free online. I also like Negri and van Plato's Structural Proof Theo …
- 9,201