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# SPDX-License-Identifier: MPL-2.0
# SPDX-FileCopyrightText: 2025-2026 Jonathan D.A. Jewell <j.d.a.jewell@open.ac.uk>
cff-version: 1.2.0
title: "echo-types: dependent fibres and indexed structured-loss models (Agda)"
message: "Please cite this software using the author and repository information below; no verified DOI is recorded."
type: software
authors:
- given-names: Jonathan
orcid: "https://orcid.org/0000-0002-3078-6652"
family-names: Jewell
email: j.d.a.jewell@open.ac.uk
repository-code: "https://github.com/hyperpolymath/echo-types"
url: "https://github.com/hyperpolymath/echo-types"
abstract: >
Constructive Agda formalisation of fibre-based "structured loss"
types. Defines Echo f y := Σ (x : A) , (f x ≡ y), shows it is
definitionally the homotopy fibre (echo↔fib), and develops a
preorder-indexed diagram with a pointwise mediator property,
conditional function-level results, and scoped counterexamples
for selected lossy encodings. The ordinary checked roots use
--safe --without-K; separate Cubical and postulated presentations
have distinct trust boundaries. Novelty and priority are unresolved.
See docs/foundation.adoc for dated coverage and verification limits.
keywords:
- agda
- indexed family
- homotopy fibre
- structured loss
- reindexing
- formal methods
- mechanised metatheory
license: MPL-2.0
preferred-citation:
type: software
title: "echo-types: dependent fibres and indexed structured-loss models (Agda)"
authors:
- given-names: Jonathan
orcid: "https://orcid.org/0000-0002-3078-6652"
family-names: Jewell
url: "https://github.com/hyperpolymath/echo-types"
year: 2026