Mathesis
Mathesis is a human-friendly Python library for computational formal logic (including mathematical, symbolic, philosophical logic), formal semantics, and theorem proving. It is particularly well-suited for:
- Students learning logic and educators teaching it
- Researchers in fields like logic, philosophy, linguistics, computer science, and many others
Documentation: https://digitalformallogic.github.io/mathesis/
Installation
pip install mathesis
Key features
- Interactive theorem proving for humans (proof assistant)
- Automated reasoning (theorem prover)
- Define models and check validity of inferences in the models
- JupyterLab/Jupyter Notebook support
- Output formulas/proofs in LaTeX
- Customizable ASCII/Unicode syntax (like
A -> B,A → B,A ⊃ Bfor the conditional)
Supported logics
Propositional logics
| Truth Table | Tableau | Natural Deduction | Sequent Calculus | |
|---|---|---|---|---|
| Classical logic | ✅ | ✅ | ✅ | ✅ |
| Many-valued logics | ✅ | - | - | - |
| Intuitionistic logic | n/a | - | - | ✅ |
In Progress
- Modal logics
- Fuzzy logics
- Substructural logics
- Epistemic, doxastic, deontic logics
- Temporal logics
First-order logics (quantified, predicate logics)
| Model | Tableau | Natural Deduction | Sequent Calculus | |
|---|---|---|---|---|
| Classical logic | ✅ | ✅ | ✅ | - |
In Progress
- Many-valued logics
- Modal logics
- Intuitionistic logic
- Fuzzy logics
- Substructural logics
- Higher-order logics
Development status
Proof theories
- Tableaux (semantic tableaux, analytic tableaux)
- Unsigned tableaux
- Signed tableaux
- Hilbert systems
- Hilbert systems
- Natural deduction
- Generic natural deduction
- Gentzen-style natural deduction (Output)
- Fitch-style natural deduction
- Sequent calculi (Gentzen-style sequent calculi)
- Two-sided sequent calculi
- Hilbert systems in sequent calculus
- Natural deduction in sequent calculus
Semantics
- Truth tables
- Set-theoretic models
- Possible world semantics (Kripke semantics)
- Algebraic semantics
- Game-theoretic semantics
- Category-theoretic semantics
Internals
Roadmap
- Add tests (WIP)
- Hilbert systems
- Natural deduction
- Boolean algebra
- Type theory
- Metatheorems
- Output graphical representations of models
- Support tptp syntax
Metadata
Release files for mathesis 0.7.2
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | |
|---|---|---|---|
| mathesis-0.7.2.tar.gz | 22.4 kB | Details |
Built distribution (wheel)
| File | Interpreter | ABI | Platform | Reset |
|---|---|---|---|---|
| mathesis-0.7.2-py3-none-any.whl | Python 3 | none | any | Details |
Total release size: 56.9 kB
Release files / mathesis-0.7.2.tar.gz
| Download URL | mathesis-0.7.2.tar.gz |
|---|---|
| Size | 22.4 kB |
| Tags | Source |
|
SHA-256 checksum How to use checksums |
a91c89659d65b23946c4b8cfb20bdce47d8c9f144c181a99144774b6f238d76a
|
|
BLAKE2b-256 checksum How to use checksums |
c93beffeaf3f4011f642f8c7442b6f9b1ad5bd3c09f6dcc7e8699be1c6b35afa
|
| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
poetry/2.2.0 CPython/3.13.7 Darwin/23.6.0
|
Release files / mathesis-0.7.2-py3-none-any.whl
| Download URL | mathesis-0.7.2-py3-none-any.whl |
|---|---|
| Size | 34.5 kB |
| Tags | Python 3 |
|
SHA-256 checksum How to use checksums |
3fe9190f853fcefd7c1284d3d47a882c847b290d5654285f8dc3f463d4bea219
|
|
BLAKE2b-256 checksum How to use checksums |
cea830dd68c356cf1ac09d27e934066b88ec6ae51d4050dc0adf37da3e604ddb
|
| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
poetry/2.2.0 CPython/3.13.7 Darwin/23.6.0
|