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Cartesian-closed categories of algebras
Cartesian-closed categories of algebras052010-06-29 12:50:32David Carchedi. If the Kleisli-category of a monad is Cartesian-closed, can we say when the category of Eilenberg-Moore algebras is?
Cartesian-closed categories of algebras

On "Introduction to Higher-Order Categorical Logic" by Lambek and ...
In the discussion of the internal language of a cartesian closed category , it would have helped to emphasize (and not only remark as if in passing) that terms are arrow terms of the polynomial category . ...
On "Introduction to Higher-Order Categorical Logic" by Lambek and ...

PlanetMath: Cartesian closed category
In other words, a Cartesian closed category $\mathcal{C}$ is a category with finite products, has a terminal objects, and has exponentials. It can be shown that a Cartesian closed category is the same as a finitely complete category ...
PlanetMath: Cartesian closed category

Self-referential Paradoxes, Incompleteness and Fixed Points
Lawvere in 'Diagonal Arguments and Cartesian Closed Categories' sought, among several things, to demystify the incompleteness theorem. To pique your interest, in a self-commentary on the above paper, he actually has quite a few harsh ...
Self-referential Paradoxes, Incompleteness and Fixed Points

From Lambda Calculus to Cartesian Closed Categories : Good Math ...
This is one of the last posts in my series on category theory; and it's a two parter. What I'm going to do in these two posts is show the correspondence between lambda calculus and the cartesian closed categories. If...
From Lambda Calculus to Cartesian Closed Categories : Good Math ...

Classical vs Quantum Computation (Week 3) | The n-Category Café
Not only is it a wonderful introduction to game semantics, but it also contains (Theorem 4.11) a gamey description of the free cartesian-closed category on a set of generators. The category studied by Dolan and Trimble is there as well: ...
Classical vs Quantum Computation (Week 3) | The n-Category Café

On Some Related Problems in Domain Theory and Rough Set Theory
If F consists of finite nontrivialL-domains, then CONT is the unique Cartesian Closed Category of the variety.The above results of three aspects make clear some douts about dual topol-ogy, retracts of Cartesian product of finite posets ...
On Some Related Problems in Domain Theory and Rough Set Theory

categories: products, exponentials, and the cartesian closed ...
so, a cartesian category is a category closed with respect to product. many of the common categories are cartesian: the category of sets, and the category of enumerable sets, and of course, the meaning of the categorical product in set? ...
categories: products, exponentials, and the cartesian closed ...

The Galois connection between syntax and semantics | Lambda the ...
One particular method at arriving at such is to look at a category of existing things, e.g. the category of topological spaces, and note that it fails to be cartesian closed, as indeed the category of topological spaces does fail to be, ...
The Galois connection between syntax and semantics | Lambda the ...

Closed Categories « The Unapologetic Mathematician
Here's an example, though, of a cartesian closed category that looks rather different. It requires the notion of a “predicate calculus”, but not very much of it. Basically, if you have a rough idea of what such a thing is you'll be fine ...
Closed Categories « The Unapologetic Mathematician
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