Computing with Capsules

@inproceedings{Jeannin2012ComputingWC,
  title={Computing with Capsules},
  author={Jean-Baptiste Jeannin and Dexter Kozen},
  booktitle={DCFS},
  year={2012}
}
Capsules provide an algebraic representation of the state of a computation in higher-order functional and imperative languages. A capsule is essentially a finite coalgebraic representation of a regular closed λ-coterm. One can give an operational semantics based on capsules for a higher-order programming language with functional and imperative features, including mutable bindings. Static (lexical) scoping is captured purely algebraically without stacks, heaps, or closures. All operations of… 
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18 Citations
Background Citations
6
Methods Citations
8
Results Citations
1

18 Citations

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Citation Type

Capsules and Closures
Sound Regular Corecursion in coFJ
The aim of the paper is to provide solid foundations for a programming paradigm natively supporting the creation and manipulation of cyclic data structures. To this end, we describe coFJ, a Java-like…
CoCaml: Functional Programming with Regular Coinductive Types
TLDR
CoCaml is presented, a functional programming language extending OCaml, which allows us to define recursive functions on regular coinductive datatypes, but parameterized by an equation solver.
CoCaml: Programming with Coinductive Types
We present CoCaml, a functional programming language extending OCaml, which allows us to define functions on coinductive datatypes parameterized by an equation solver. We provide numerous examples…
Universal Semantics for the Stochastic Lambda-Calculus
TLDR
These two semantic approaches build on previous work that used similar techniques to reason about higher-order probabilistic programs, but for the first time admit an adequacy theorem relating the operational and denotational views.
Enhanced Regular Corecursion for Data Streams
We propose a simple calculus for processing data streams (infinite flows of data series), represented by finite sets of equations built on stream operators. Furthermore, functions defining streams…
Substructural logical specifications
TLDR
This dissertation introduces and demonstrates four methodologies for developing and using substructural logical frameworks for specifying and reasoning about stateful and concurrent systems, and shows that generative invariants can form the basis of progress-and-preservation-style reasoning about programming languages encoded in SLS.
Capsules and Separation
We study a formulation of separation logic using capsules, a representation of the state of a computation in higher-order programming languages with mutable variables. We prove soundness of the frame…
Practical coinduction
TLDR
It is shown that coinduction is not only about bisimilarity and equality of behaviors, but also applicable to a variety of functions and relations defined on coinductive datatypes.
Environments and the complexity of abstract machines
TLDR
It is shown that local environments admit implementations that are asymptotically faster than global environments, lowering the dependency from the size of the initial term from linear to logarithmic, thus improving the bounds in the literature.
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References

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