Towards a Taxonomy for Reversible Computation Approaches

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Reversible Computation (RC 2023)

Abstract

Reversible computation is a paradigm allowing computation to proceed not only in the usual, forward direction, but also backwards. Reversible computation has been studied in a variety of models, including sequential and concurrent programming languages, automata, process calculi, Turing machines, circuits, Petri nets, event structures, term rewriting, quantum computing, and others. Also, it has found applications in areas as different as low-power computing, debugging, simulation, robotics, database design, and biochemical modeling. Thus, while the broad idea of reversible computation is the same in all the areas, it has been interpreted and adapted to fit the various settings. The existing notions of reversible computation however have never been compared and categorized in detail. This work aims at being a first step** stone towards a taxonomy of the approaches that co-exist under the term reversible computation. We hope that such a work will shed light on the relation among the various approaches.

I. Lanese has been partially supported by French ANR project DCore ANR-18-CE25-0007 and INdAM-GNCS Project CUP_E55F22000270001 “Proprietà qualitative e quantitative di sistemi reversibili”. I. Ulidowski has been partially supported by JSPS Fellowship grant S21050. G. Vidal has been partially supported by grant PID2019-104735RB-C41 funded by MCIN/AEI/ 10.13039/501100011033. J.A. Miszczak has been partially supported by NCN grant 2019/33/B/ST6/02011.

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Notes

  1. 1.

    In the following we mainly use the term model to refer to the instances of reversible computation that we consider. Indeed, many of our examples are (formal) models. However, we think that our taxonomy can be applied also to more concrete entities, such as languages, applications or systems.

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Acknowledgements

This work refines and extends the results of discussions that occurred during the meetings of the COST Action IC1405 on Reversible Computation – Extending Horizons of Computing. We thank all the participants to such discussions. The authors were partially supported by the COST Action IC1405. We thank the anonymous referees for their helpful comments.

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Glück, R. et al. (2023). Towards a Taxonomy for Reversible Computation Approaches. In: Kutrib, M., Meyer, U. (eds) Reversible Computation. RC 2023. Lecture Notes in Computer Science, vol 13960. Springer, Cham. https://doi.org/10.1007/978-3-031-38100-3_3

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