Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Semantics to Types: the Case of the Imperative lambda-Calculus   We propose an intersection type system for an imperative lambda-calculus
based on a state monad and equipped with algebraic operations to read and write
to the store. The system is derived by solving a suitable domain equation in
the category of omega-algebraic lattices; the solution consists of a
filter-model generalizing the well-known construction for ordinary
lambda-calculus. Then the type system is obtained out of the term
interpretations into the filter-model itself. The so obtained type system
satisfies the "type-semantics" property, and it is sound and complete by
construction.

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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org