# The Transformation Logics

arXiv: https://arxiv.org/abs/2304.09639 · HTML: https://mlsanity.com/paper/2304.09639/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 45 references that are in the map.
- First posted on arXiv 19 Apr 2023.

## Builds on (most cited first, 2 of 2)

- [Querying Log Data with Metric Temporal Logic (Technical Report)](https://mlsanity.com/paper/1703.08982/) (2017)
- [Stream Reasoning in Temporal Datalog](https://mlsanity.com/paper/1711.04013/) (2017)

## Abstract (arXiv)

We introduce a new family of temporal logics designed to finely balance the trade-off between expressivity and complexity. Their key feature is the possibility of defining operators of a new kind that we call transformation operators. Some of them subsume existing temporal operators, while others are entirely novel. Of particular interest are transformation operators based on semigroups. They enable logics to harness the richness of semigroup theory, and we show them to yield logics capable of creating hierarchies of increasing expressivity and complexity which are non-trivial to characterise in existing logics. The result is a genuinely novel and yet unexplored landscape of temporal logics, each of them with the potential of matching the trade-off between expressivity and complexity required by specific applications.