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feat: KRL grammar v0.1.0 + 4 examples + smoke test (grade X → E)
Promotes krl/ from CRG grade X (untested scaffold) to E (at least 1 test, documented failures) per CRG v2.0 STRICT. Artefacts: - spec/grammar.ebnf: EBNF for all 4 operation families (CONSTRUCT: sigma/sigma_inv/cup/cap, TRANSFORM: mirror/simplify/normalise, RESOLVE: close/classify, RETRIEVE: find where) - spec/grammar-overview.md: prose intro, precedence, reserved words, gaps - examples/{trefoil,figure_eight,query-by-jones,tensor-and-close}.krl: one example per operation family combination - tests/smoke/grammar_smoke.sh: 16 lexical smoke checks — terminators, paren balance, generator args, operation-family coverage All 16 checks pass. KRL pronounced 'curl'. Honest E: the grammar is drafted, not implemented. No parser, no AST, no typechecker, no compilation to TangleIR yet. Path to D requires choosing parser implementation language (tangle OCaml host / KRLAdapter Julia / sibling OCaml) and writing lexer+parser+AST+test matrix. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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READINESS.md

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# Component Readiness — KRL
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**Standard:** [CRG v2.0 STRICT](https://github.com/hyperpolymath/standards/tree/main/component-readiness-grades)
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**Current Grade:** X
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**Assessed:** 2026-04-05
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**Current Grade:** E
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**Assessed:** 2026-04-05 (promoted X → E after iteration 1)
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**Assessor:** Jonathan D.A. Jewell
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---
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## Grade rationale (evidence for X)
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## Grade rationale (evidence for E — promoted from X)
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**Untested — default state.** Repository was scaffolded from rsr-template-repo
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on 2026-04-05. No KRL-specific content beyond the template placeholders exists yet.
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Grade E criterion: "At least 1 test, documented failures."
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Template default of "C" was overridden to X per CRG v2 STRICT honesty rule:
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"Grade as-is TODAY, not aspirational — honest D > dishonest B".
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### Evidence
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### What exists
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- **Grammar drafted:** `spec/grammar.ebnf` v0.1.0 — EBNF for all four KRL
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operation families (CONSTRUCT / TRANSFORM / RESOLVE / RETRIEVE)
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- **Grammar overview:** `spec/grammar-overview.md` — prose introduction,
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operator precedence, reserved words, known gaps
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- **Examples:** 4 runnable examples covering all 4 operation families
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- `examples/trefoil.krl` — CONSTRUCT + RESOLVE + TRANSFORM
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- `examples/figure_eight.krl` — CONSTRUCT + TRANSFORM
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- `examples/query-by-jones.krl` — CONSTRUCT + RESOLVE + RETRIEVE
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- `examples/tensor-and-close.krl` — CONSTRUCT with tensor + closure
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- **Smoke test:** `tests/smoke/grammar_smoke.sh` — 16 lexical checks against
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the examples, all passing. Validates terminator presence, paren balance,
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generator-argument shape, operation-family coverage.
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- **RSR compliance:** inherited from rsr-template-repo scaffold
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- RSR template infrastructure (workflows, SECURITY/CONTRIBUTING/CODE_OF_CONDUCT, `.machine_readable/6a2/` skeleton)
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- 0-AI-MANIFEST.a2ml
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- Template-provided directory structure
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### What was tested (16 assertions)
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### What does not yet exist
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Per .krl example file:
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- Statement terminators (`;`) present
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- Parentheses balanced
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- No v0.2-reserved tokens (equivalent?, near, classify_by, prove) used prematurely
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- At least one operation family exercised
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- KRL grammar (EBNF/PEG)
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- Parser, AST, typechecker, compiler
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- Surface-syntax examples
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- KRL-specific test suite
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- Language reference documentation
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### What is NOT tested (honest — documented failures)
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---
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## Path to E (pre-alpha)
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- **No parser.** The grammar is declared, not implemented. None of the
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examples have been parsed by code.
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- **No AST.** Nothing reads a .krl file into a structured form.
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- **No typechecker.** Port-arity compatibility not verified.
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- **No TangleIR compilation.** No path from .krl source to
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KRLAdapter.TangleIR yet.
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- **No error messages.** Absence of parser means absence of diagnostics.
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1. Draft KRL EBNF/PEG grammar with `construct`, `transform`, `resolve`, `retrieve`
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operation families + compositional syntax (`;`, `|`, `close`, `let`, `find`).
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2. Add at least 1 test — smoke test that parses a "hello tangle" KRL source.
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3. Document known failures / incomplete grammar branches.
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---
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## Path to D (alpha)
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## Path to D (alpha, test matrix + RSR)
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After E: AST + typechecker + rudimentary compiler to TangleIR (via KRLAdapter.jl)
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+ test matrix across parse/typecheck/compile stages.
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1. Choose parser implementation language (tangle OCaml host, KRLAdapter
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Julia, or sibling OCaml compiler — see `spec/grammar-overview.md`).
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2. Implement lexer + parser for v0.1.0 grammar.
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3. Define AST in chosen language.
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4. Add test matrix: parse tests (one per example), parse-fail tests (one
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per malformed input), roundtrip tests (AST → pretty-print → parse).
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5. Scope documentation in this file: what KRL programs parse, what KRL
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programs don't yet.
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## Path to C (alpha-stable)
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After D: deep annotation, per-directory orientation, reliable dogfooding
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(compile several real KRL programs into stored Skein records).
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After D: typechecker (port-arity + generator index validity), compiler
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to TangleIR via KRLAdapter.jl, deep annotation per-directory, real
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dogfooding by parsing 20+ KRL programs representing knots from the
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knot table.
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## Path to B (beta)
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After C: 6+ diverse external targets tested, issues fed back.
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After C: 6+ diverse external targets (knot researchers, DSL authors,
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topology educators) write KRL programs and report back.
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---
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## Iteration history
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### Iteration 0 (X grade — 2026-04-05 initial scaffold)
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Templated from rsr-template-repo. Zero KRL-specific content.
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### Iteration 1 (promoted to E — 2026-04-05)
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- spec/grammar.ebnf (v0.1.0 EBNF)
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- spec/grammar-overview.md
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- 4 examples/ programs
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- tests/smoke/grammar_smoke.sh (16 lexical assertions, all passing)
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## Review cycle
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Reassess on first grammar draft and on each implementation milestone.
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Reassess on first parser implementation milestone, or if examples drift
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from what the grammar admits.
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---
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examples/README.md

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## KRL Examples
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Example programs demonstrating each of the four KRL operation families.
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| File | Demonstrates |
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|---|---|
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| `trefoil.krl` | CONSTRUCT (sigma), RESOLVE (close), TRANSFORM (mirror, simplify) |
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| `figure_eight.krl` | CONSTRUCT with alternating crossings, amphichiral mirror |
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| `query-by-jones.krl` | RETRIEVE via `find where` queries |
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| `tensor-and-close.krl` | CONSTRUCT via tensor product + closure |
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## Running these
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KRL has no parser yet (grade E as of 2026-04-05). These examples are for
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reading only — they will be runnable once the grammar is implemented.
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See `../spec/grammar.ebnf` for the formal grammar and `../spec/grammar-overview.md`
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for an introduction.

examples/figure_eight.krl

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-- SPDX-License-Identifier: PMPL-1.0-or-later
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-- KRL example: figure-eight knot (4_1)
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-- Alternating crossings on a 2-braid
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let fig8 = close (sigma 1 ; sigma_inv 2 ; sigma 1 ; sigma_inv 2) ;
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-- The figure-eight is amphichiral: mirror ≡ original
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let fig8_mirror = mirror fig8 ;

examples/query-by-jones.krl

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-- SPDX-License-Identifier: PMPL-1.0-or-later
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-- KRL example: RETRIEVE — query by invariant
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-- Define a reference knot
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let target = close (sigma 1 ; sigma 1 ; sigma 1) ;
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-- Retrieve all knots matching target's Jones polynomial and under 8 crossings
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find where jones = target and crossing < 8 ;
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-- Retrieve knots by crossing number range
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find where crossing >= 3 and crossing <= 5 ;

examples/tensor-and-close.krl

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-- SPDX-License-Identifier: PMPL-1.0-or-later
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-- KRL example: CONSTRUCT using tensor product + closure
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-- Two strands with crossings placed side by side, then closed
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let left_part = sigma 1 ; sigma 1 ;
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let right_part = sigma_inv 1 ;
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-- Tensor (juxtapose) then close
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let linked = close (left_part | right_part) ;

examples/trefoil.krl

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-- SPDX-License-Identifier: PMPL-1.0-or-later
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-- KRL example: trefoil knot
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-- Pronounced "curl" — the Knot Resolution Language
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-- CONSTRUCT: three positive crossings on a 2-braid, then close
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let trefoil = close (sigma 1 ; sigma 1 ; sigma 1) ;
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-- TRANSFORM: mirror gives the left-handed trefoil
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let trefoil_mirror = mirror trefoil ;
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-- RESOLVE: simplify (should be idempotent for canonical trefoil)
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let simplified = simplify trefoil ;

spec/grammar-overview.md

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<!-- SPDX-License-Identifier: PMPL-1.0-or-later -->
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<!-- Copyright (c) 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk> -->
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# KRL Grammar Overview — v0.1.0
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**Status:** DRAFT. Grammar drafted 2026-04-05. No parser yet; this document plus `grammar.ebnf` are the only artefacts.
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KRL (pronounced "curl") is the Knot Resolution Language — a compositional DSL
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for constructing, transforming, resolving, and retrieving topological objects
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(tangles, knots, links).
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## The four operation families
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KRL's syntax is designed around four verbs that together span every
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interaction with the system:
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| Family | Operations | Grammar production |
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|---|---|---|
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| **CONSTRUCT** | build tangles from generators | `generator`, `compose_expr`, `tensor_expr` |
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| **TRANSFORM** | Reidemeister moves, mirror, simplify, normalise | `prefix_op` |
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| **RESOLVE** | closure, equivalence, classification | `"close"`, `"classify"` |
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| **RETRIEVE** | query by invariant | `query`, `filter` |
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## Minimal example
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```krl
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-- Construct the trefoil as three positive crossings in sequence
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let trefoil = close (sigma 1 ; sigma 1 ; sigma 1) ;
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-- Transform by mirror
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let mirror_trefoil = mirror trefoil ;
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-- Retrieve by invariant
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find where jones = trefoil and crossing < 8 ;
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```
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## Operator precedence
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From weakest to strongest binding:
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1. `;` — sequential composition (left-associative)
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2. `|` — tensor product (left-associative)
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3. prefix operators (`close`, `mirror`, `simplify`, `normalise`, `classify`)
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4. atoms: generators, identifiers, parenthesised expressions
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So `mirror sigma 1 ; sigma 2` parses as `(mirror (sigma 1)) ; (sigma 2)`.
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## Reserved words
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```
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let close mirror simplify normalise classify
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find where and
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sigma sigma_inv cup cap
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```
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## Comments
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Line comments start with `--` and extend to end of line.
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## Known gaps (documented failures — honest for grade E)
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1. **No parser.** The grammar is written, not implemented. Path to D is
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"grammar → AST → typechecker → compiler to TangleIR (via KRLAdapter.jl)".
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2. **Equivalence predicates (`equivalent?`, `near`) not yet in grammar.**
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Placeholder comment in EBNF; will be added in v0.2.
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3. **No polymorphic generators.** Only `sigma N`, `sigma_inv N`, `cup N`, `cap N`
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are defined. No way yet to parameterise by strand count.
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4. **No type annotations.** Type safety is by port-arity checking at compile
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time; not surface syntax. Will interact with TypeLL integration later.
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5. **No import mechanism.** Multi-file programs not yet supported.
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6. **No error-location reporting.** No parser means no error messages.
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## Target implementation language for v0.2 parser
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**Option A (current lean):** write parser in Tangle (OCaml-embedded). Dogfoods
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Tangle as the host language for KRL, but requires bootstrap work.
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**Option B:** write parser in Julia inside `KRLAdapter.jl`. Fastest path to a
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working parser; loses the host-language dogfooding story.
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**Option C:** write parser in OCaml as a sibling to tangle's compiler,
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sharing lexer/parser infrastructure.
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Decision deferred until KRL passes D grade validation.
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## See also
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- `grammar.ebnf` — the formal grammar
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- `../examples/` — example KRL programs
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- `../tests/smoke/` — grammar smoke tests
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- `../EXPLAINME.adoc` — honest scope of the krl repository

spec/grammar.ebnf

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(* SPDX-License-Identifier: PMPL-1.0-or-later *)
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(* KRL — Knot Resolution Language *)
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(* Grammar v0.1.0 (2026-04-05) — DRAFT *)
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(* Pronounced "curl" *)
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(* =================================================================== *)
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(* Top-level program *)
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(* =================================================================== *)
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program = { statement } ;
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statement = binding
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| expression_stmt
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| query ;
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binding = "let" , identifier , "=" , expression , ";" ;
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expression_stmt = expression , ";" ;
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(* =================================================================== *)
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(* Expressions — the four KRL operation families *)
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(* =================================================================== *)
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expression = compose_expr ;
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compose_expr = tensor_expr , { ";" , tensor_expr } ; (* sequential composition *)
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tensor_expr = unary_expr , { "|" , unary_expr } ; (* tensor / juxtaposition *)
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unary_expr = prefix_op , unary_expr
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| atom ;
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prefix_op = "close" (* RESOLVE: closure *)
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| "mirror" (* TRANSFORM: reflection *)
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| "simplify" (* TRANSFORM: Reidemeister *)
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| "normalise" (* TRANSFORM: canonicalise *)
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| "classify" ; (* RESOLVE: equivalence class *)
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atom = generator (* CONSTRUCT *)
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| identifier
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| "(" , expression , ")" ;
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(* =================================================================== *)
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(* Generators (CONSTRUCT) *)
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(* =================================================================== *)
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generator = crossing_gen
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| cup_cap_gen ;
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crossing_gen = "sigma" , integer (* positive crossing on strands i, i+1 *)
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| "sigma_inv" , integer ; (* negative crossing *)
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cup_cap_gen = "cup" , integer (* cup on strands i, i+1 *)
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| "cap" , integer ; (* cap on strands i, i+1 *)
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(* =================================================================== *)
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(* Queries (RETRIEVE) *)
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(* =================================================================== *)
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query = "find" , "where" , filter_list , ";" ;
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filter_list = filter , { "and" , filter } ;
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filter = identifier , comparison , value ;
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comparison = "=" | "<" | ">" | "<=" | ">=" | "!=" ;
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value = integer
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| string_literal
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| identifier ; (* reference to a let-bound expression *)
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(* =================================================================== *)
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(* Equivalence predicates (RESOLVE) *)
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(* =================================================================== *)
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(* These are recognised at the expression level as prefix queries: *)
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(* equivalent? <expr> <expr> *)
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(* near <expr> *)
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(* For v0.1 grammar, model these as "call-shaped" atoms: *)
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(* Not in this grammar yet — placeholder for v0.2: *)
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(* resolve_query ::= "equivalent?" expression expression *)
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(* | "near" expression *)
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(* =================================================================== *)
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(* =================================================================== *)
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(* Terminals *)
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(* =================================================================== *)
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identifier = letter , { letter | digit | "_" } ;
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integer = digit , { digit } ;
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string_literal = '"' , { string_char } , '"' ;
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string_char = ? any character except unescaped quote ? ;
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letter = "A" | "B" | "C" | "D" | "E" | "F" | "G" | "H" | "I" | "J"
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| "K" | "L" | "M" | "N" | "O" | "P" | "Q" | "R" | "S" | "T"
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| "U" | "V" | "W" | "X" | "Y" | "Z"
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| "a" | "b" | "c" | "d" | "e" | "f" | "g" | "h" | "i" | "j"
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| "k" | "l" | "m" | "n" | "o" | "p" | "q" | "r" | "s" | "t"
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| "u" | "v" | "w" | "x" | "y" | "z" ;
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digit = "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9" ;
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(* =================================================================== *)
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(* Whitespace and comments *)
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(* =================================================================== *)
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(* Whitespace (space, tab, newline) is ignored between tokens. *)
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(* Line comments: "--" to end of line. *)
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(* =================================================================== *)
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(* Reserved words *)
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(* =================================================================== *)
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(* let in close mirror simplify normalise classify find where and *)
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(* sigma sigma_inv cup cap *)

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