Mathematics · proofs · softwareFind a work by title or subject, then follow its mathematics and evidence.
Completion and proof evidence are separate: a completed reading edition need not prove an open conjecture. Subject assignments are editorial finding aids, not evaluations. The completion and evidence labels reproduce the existing recorded assessments; a Lean contract covers only its declared claims. Read the status guide before interpreting them. Cross-disciplinary subjects have one primary home and may list related fields.
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Core paper
Typed systems, finite realization, seed rank, and packet coordinates.
Scoped release
Start here: choose a reading path
Core paper
Refinement, weighted transfer, and integral structure.
Scoped release
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Core paper
Nonlinear constructions, compatibility, and explicit obstructions.
Reading edition complete
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Core paper
Cyclic analytic families, reciprocal identities, and spectral information.
Reading edition complete
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Core paper
Polyphase decomposition, refinement, and signal operations.
Reading edition complete
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Core paper
Semigroup constructions and probabilistic and analytic applications.
Reading edition complete
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Core paper
Arithmetic packets, refinement towers, and local deformation.
Reading edition complete
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Core paper
Residual structures and completion under stated premises.
Scoped release
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Core paper
Arithmetic realization and comparison interfaces.
Reading edition complete
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Core paper
Patching, Hecke packets, and conditional automorphic constructions.
Reading edition complete
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Book / monograph
The collected core development, from packets and transfer to refinement and applications.
Reading edition complete
Book / monograph
Proof validity, discovery paths, interpretation, and review.
Scoped release
Book / monograph
Cyclic families, sequence constructions, reciprocal structure, and exact methods.
Reading edition complete
Software package
A finite certified-inference core with executable Lean sources and worked constructions.
Scoped release
Research program
Information, realizations, and a finite formal core.
Active development
Book / monograph
The ambient framework for realizations, projections, compatibility, residuals, and obstructions.
Scoped release
Research program
Set-theoretic structures, multiverse interfaces, and residual reflection.
Active development
Research program
Logical resolution and the structures used to represent it.
Active development
Research program
Canonical realization and the Block 34 finite formal development.
Active development
Book / monograph
Representability, finite descriptions, and explicit limits of realization.
Scoped release
Research program
Representations, their transformations, and compatibility.
Active development
Book / monograph
Resolution conditions and the information retained by a representation.
Reading edition complete
Book / monograph
Quadratic-form probability calculations, tail accuracy, and numerical evidence.
Reading edition complete
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Book / monograph
A separate continuation of the COS formal development.
Active development
Research program
Hypergraph structure, lumpability, and Bayesian refinement.
Reading edition complete
Research program
Certified Bayesian constructions and their publication sources.
Reading edition complete
Research program
ABC remains open. These results do not establish a uniform abc exponent.
Active development
Research program
The general ABC endpoint remains open. The newer RR8 branch is listed separately.
Reading edition complete
Research program
A finite arithmetic-reconstruction block with explicit rejection controls.
Active development
Research program
Scoped reductions, finite checks, and retained arithmetic routes.
Reading edition complete
Research program
Finite exact calculations and irrationality research routes.
Reading edition complete
Research program
Reader editions, finite results, and research evidence for both programs.
Reading edition complete
Research program
An extended Euler derivation connects reciprocal packets, infinite transforms, local supercongruences, Fibonacci transfers, polynomial calculus, exact quartic periods and binary inverses, finite Hurwitz modes and logarithmic/Stirling coordinates. The dyadic edge continuation includes exact tail factors, finite carries, row-specific cancellation and the remaining simplicity boundary.
Active development
Research program
A standalone reader PDF is supplied. This component does not include editable source.
Reader available, source qualification pending
Research program
Finite pairing and Gauss-cube calculations with an explicit primitive-root specialization. The analytic equality remains open.
Active development
Research program
Explicit algebraic Fourier and quotient constructions. Analytic orbit and special-value normalization remain unproved.
Active development
Research program
Weighted transport obstruction, arithmetic certificates, and rational interval comparison.
Active development
Research program
Finite torsion transport and separate distribution arguments. Inherited analytic inputs and the arithmetic comparison require further review.
Active development
Research program
The equality of the analytic and algebraic unit constructions remains open. Infinite-product analysis lies outside the finite Lean scope.
Reading edition complete
Research program
Actual cycle realization and comparison correspondence remain open. Sources marked uncompiled retain that status.
Reading edition complete
Research program
Finite examples and selected realization obligations.
Reading edition complete
Research program
The B05 valuation-hull continuation and finite formal controls.
Active development
Research program
Written reductions and bounded exact calculations for tau nonvanishing.
Reading edition complete
Research program
A scalar binary backend and its normalization development.
Active development
Research program
Structural limitations and conditional routes are stated explicitly. No abc proof is claimed.
Reading edition complete
Research program
Active development with exact binary image and quotient cardinality ranks, automatic checked finite-graph reconstruction, exact pin counts and the inherited two-world obstruction. Sparse forest/complexity results and wider transport and forcing claims remain open.
Active development
Research program
A cumulative two-axis calculus and rank-two p-adic lifting tool.
Active development
Research program
Packet reconstruction, edge recovery, and calibration.
Reading edition complete
Research program
A stratified universality development with traditional, visual, and formal companions.
Reading edition complete
Research program
Beta research software. Synthetic validation does not establish clinical validity.
Active development
Research program
General Strong Artin remains open. Historical checkpoints are separate formal projects.
Reading edition complete
Software package
A reference Python package, examples, tests, and editable mathematical manuscript.
Experiment / prototype
Book / monograph
The source files are available. Scientific scope, completion, and evidence from proofs or experiments still need assessment.
Needs assessment
Core paper
Exact finite algorithms, compilation, and computational realization.
Reading edition complete
Start here: choose a reading path
Book / monograph
Algebraic signal models and their mathematical foundations.
Scoped release
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Book / monograph
118-page reading edition. Bound self-review records cover 38 of 62 statement/proof pairs: 36 recorded as proved as written, two qualifications (memory domain and computability class), and 24 unreviewed. Coverage is not whole-book certification.
Reading edition complete
Software package
Constructive repairs, examples, and the accompanying reference implementation.
Scoped release
Book / monograph
Mathematical interfaces, computational representations, and reasoning constructions.
Scoped release
Book / monograph
Theoretical models and conditions for recursive improvement.
Reading edition complete
Book / monograph
Visual companion to the self-improvement development.
Reading edition complete
Book / monograph
Abstraction, grounding, and their mathematical interfaces.
Reading edition complete
Research program
Models and mathematical interfaces for machine understanding.
Reading edition complete
Experiment
Python experiments for interacting agent models.
Experiment / prototype
Experiment
An arithmetic training laboratory for J-Space models.
Experiment / prototype
Experiment
Causal interventions and tests in J-Space models.
Experiment / prototype
Experiment
J-Space constructions, machinery, and worked experiments.
Experiment / prototype
Experiment
Workspace construction and exploratory experiments.
Experiment / prototype
Research program
Operator and semantic interfaces, experiments, and their retained scientific history.
Reading edition complete
Research program
The LaTeX and PDF reading companion.
Reading edition complete
Research program · Incubator
The v0.61 multispace convergence research protocol.
Experiment / prototype
Software package
The v0.60 persistent fuzzy J-Space bridge implementation.
Experiment / prototype
Research program
The corrected 0.3.3 beta runtime passed 15 admission and CLI tests within the recorded fixture scope. Execution with a real checkpoint and scientific validation are still pending. The preserved 0.3.2 edition has documented defects.
Experiment / prototype
Research program
A finite synthetic semantic-witness construction. The recorded pilot with a real model remains blocked. The latest comparison checked the written scope, without rerunning or certifying Block 23.
Experiment / prototype
Research program
Stratified closure models and the Block 23 development.
Reading edition complete
Research program
The AVOC publication and formal source collection.
Reading edition complete
Research program · Incubator
The PRISM-1R implementation and research handoff.
Experiment / prototype
Research program
The PRISM-1 mathematical and computational development.
Experiment / prototype
Research program
Stratified relational workspaces and their mathematical interfaces.
Reading edition complete
Research program
The Block 15 Lean development for machine-theory structures.
Earlier checkpoint
Research program
The broader continuation accompanying the reviewed core volume.
Active development
Software package
The source files are available. Scientific scope, completion, and evidence from proofs or experiments still need assessment.
Needs assessment
Book / monograph
The source files are available. Scientific scope, completion, and evidence from proofs or experiments still need assessment.
Needs assessment
Core paper
Finite quantum constructions and seed representations.
Reading edition complete
Start here: choose a reading path
Book / monograph
Quantum models, channel interfaces, and circuit constructions.
Reading edition complete
Start here: choose a reading path
Book / monograph
Discrete and continuous model structures and local constructions.
Reading edition complete
Research program
The source files are available. Scientific scope, completion, and evidence from proofs or experiments still need assessment.
Needs assessment
Research program
The source files are available. Scientific scope, completion, and evidence from proofs or experiments still need assessment.
Needs assessment
Research program
The source files are available. Scientific scope, completion, and evidence from proofs or experiments still need assessment.
Needs assessment
Book / monograph
A working method connecting precise claims, construction, proof, computation, and contrary evidence.
Reading edition complete
Research program
A conceptual essay on representations and languages for machine reasoning. The revised monograph and HTML reading edition include editable sources and a documented editorial review.
Reading edition complete