# Coinductive techniques for operational equivalence of interaction nets

@article{Fernndez1998CoinductiveTF, title={Coinductive techniques for operational equivalence of interaction nets}, author={Maribel Fern{\'a}ndez and Ian Mackie}, journal={Proceedings. Thirteenth Annual IEEE Symposium on Logic in Computer Science (Cat. No.98CB36226)}, year={1998}, pages={321-332} }

In this paper we study a notion of operational equivalence for interaction nets, following the recent success of applying methods based on bisimulation to functional and object oriented programming languages. We set up notions of contextual equivalence and bisimilarity and show that they coincide. A coinduction principle then gives a simple and robust way of showing when two interaction nets are contextually equivalent. We include several examples to demonstrate the usefulness of the approach…

## Figures from this paper

## 16 Citations

### A Theory of Operational Equivalence for Interaction Nets

- Computer ScienceLATIN
- 2000

This work generalizes previous studies of operational equivalence in interaction nets since it can be applied to untyped systems, thus all systems of interaction nets are captured.

### Observational Equivalence for Synchronized Graph Rewriting with Mobility

- Computer ScienceTACS
- 2001

A notion of bisimulation for graph rewriting systems is introduced, allowing to prove observational equivalence for dynamically evolving graphs and networks, and an up-to technique simplifying bisimilarity proofs is introduced.

### ATheor yo fOperationa lEquivalenc efor Interaction Nets

- Computer Science
- 2000

This work generalizes previous studies of operational equivalence in interaction nets since it can be applied to untyped systems, thus all systems of interaction nets are captured.

### Representing the Finite calculus in Multi Interaction Nets Concurrency Interaction Non determinism

- Computer Science
- 2010

The Interaction Nets of Lafont are extended with some non determinism capabilities and then it is shown how to implement the nite monadic calculus in that system.

### Functional programming and program transformation with interaction nets

- Computer Science
- 2005

The use of recursion patterns are considered and a suitable archetype/instantiation mechanism for interaction agents are introduced and program transformation by fusion is considered, a well-known transformation technique, and this extends smoothly to the visual programming framework.

### A Calculus for Interaction Nets

- Computer SciencePPDP
- 1999

The purpose of this paper is to study a textual calculus for interaction nets, with a formal operational semantics, which provides a foundation for implementation, and a type system which formalizes the notion of partition used to define semi-simple nets.

### Optimal sharing graphs for substructural higher-order rewriting systems

- Computer Science
- 2017

This work provides an algorithm by defining a class of higher-order rewriting systems having Intuitionistic Linear Logic as a substitution calculus, in the sense of Van Oostrom (1994), and introduces a method of translating terms and rules into equivalent Lamping-Gonthier sharing graphs, offering a generalisation of the mechanism for optimal reduction from second- to higher- order term rewriting systems.

### A Calculus for Interaction Nets Based on the Linear Chemical Abstract Machine

- Computer ScienceElectron. Notes Theor. Comput. Sci.
- 2008

### Towards a Programming Language for Interaction Nets

- Computer Science, LinguisticsElectron. Notes Theor. Comput. Sci.
- 2005

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