Pith. sign in

REVIEW 1 cited by

homotopy.io: a proof assistant for finitely-presented globular $n$-categories

Not yet reviewed by Pith; the record is open.

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 2402.13179 v1 pith:PA623DBX submitted 2024-02-20 cs.LO math.CT

classification cs.LOmath.CT
keywords prooftoolassistantcategoriesdescribeessentialfinitely-presentedhomotopy
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We present the proof assistant homotopy.io for working with finitely-presented semistrict higher categories. The tool runs in the browser with a point-and-click interface, allowing direct manipulation of proof objects via a graphical representation. We describe the user interface and explain how the tool can be used in practice. We also describe the essential subsystems of the tool, including collapse, contraction, expansion, typechecking, and layout, as well as key implementation details including data structure encoding, memoisation, and rendering. These technical innovations have been essential for achieving good performance in a resource-constrained setting.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

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

  1. From Provable Correctness to Probabilistic Generation: A Comparative Review of Program Synthesis Paradigms

    cs.PL 2025-07 conditional

    A bachelor's thesis surveys deductive, inductive, sketch-based, LLM-based, and neuro-symbolic program synthesis, emphasizing correctness versus usability trade-offs.

Pith tools