Effectful Mealy Machines

Elena Di Lavore; Filippo Bonchi; Mario Rom\'an

Effectful Mealy Machines

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2410.10627 v4 pith:A76KQTLT submitted 2024-10-14 cs.LO math.CT

Effectful Mealy Machines

Filippo Bonchi , Elena Di Lavore , Mario Rom\'an This is my paper

classification cs.LO math.CT

keywords mealyeffectfulmachinesbisimilaritycausalgeneralizationintroducemonoidal

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

Effectful Mealy machines, which we introduce, are a generalization of Mealy machines with global effects determined by an effectful triple. We provide semantics of effectful Mealy machines in terms of both bisimilarity and traces: bisimilarity is characterized syntactically, via uniform feedback; traces are constructed coinductively in terms of streams. We prove that this framework characterizes standard causal processes and existing flavours of Mealy machine, bisimilarity, and trace equivalence. In the commutative case, we introduce a monoidal generalization of Raney's causal functions: monoidal causal processes.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Finite Observations, Infinite Behaviour: bicategorical semantics for stateful monoidal processes
cs.LO 2026-07 accept novelty 7.5

Behaviours of stateful monoidal processes are equivalence classes of compatible finite observations in discard bicategories, yielding functorial feedback semantics and a categorified compactness theorem for closed relations.