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https://github.com/palmskog/fitch
Certified proof checker for Fitch-style propositional logic proofs
https://github.com/palmskog/fitch
cakeml coq fitch-proofs hol4 ocaml ott propositional-logic
Last synced: 2 months ago
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Certified proof checker for Fitch-style propositional logic proofs
- Host: GitHub
- URL: https://github.com/palmskog/fitch
- Owner: palmskog
- License: mit
- Created: 2016-03-29T21:44:50.000Z (over 8 years ago)
- Default Branch: master
- Last Pushed: 2023-11-21T18:50:18.000Z (about 1 year ago)
- Last Synced: 2023-11-21T19:33:35.153Z (about 1 year ago)
- Topics: cakeml, coq, fitch-proofs, hol4, ocaml, ott, propositional-logic
- Language: Standard ML
- Size: 169 KB
- Stars: 6
- Watchers: 3
- Forks: 2
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
Fitch
=====
A certified proof checker for Fitch-style propositional logic proofs as defined in the book [Logic for Computer Science](http://www.cambridge.org/gb/academic/subjects/computer-science/programming-languages-and-applied-logic/logic-computer-science-modelling-and-reasoning-about-systems-2nd-edition) by Huth and Ryan.
Requirements
------------
Coq definitions and proofs:
- [Coq](https://coq.inria.fr) (8.16 or later)
- [Coq Ott library](https://github.com/ott-lang/ott) (0.33 or later)
HOL4 definitions and proofs:
- [`HOL4 Kananaskis-13`](https://hol-theorem-prover.org)
Executable OCaml checkers:
- [`OCaml 4.05`](https://ocaml.org) (or later)
- [`menhir`](http://gallium.inria.fr/~fpottier/menhir/)
- [`OCamlbuild`](https://github.com/ocaml/ocamlbuild)
- [`ocamlfind`](https://ocaml.org)
Executable CakeML checker:
- [`HOL4 Kananaskis-13`](https://hol-theorem-prover.org)
- [`CakeML 1009`](https://github.com/CakeML/cakeml/releases/tag/v1009)
Building Coq definitions and proofs
-----------------------------------
Make sure Ott's Coq auxiliary library has been installed in Coq's `user-contrib` library directory. One easy way to install Ott and its Coq library is via [opam](http://opam.ocaml.org/doc/Install.html):
```
opam repo add coq-released https://coq.inria.fr/opam/released
opam install coq-ott
```
Then, run `make`. This will compile the Coq syntax and relational definitions and check all proofs.
Building HOL4 definitions and proofs
------------------------------------
Run `make hol`. This will compile the HOL4 syntax and relational definitions and check all proofs.
Building the OCaml checkers
---------------------------
To build the default executable checker program, run `make checker`. Example proofs (`.nd` files) can then be checked as follows:
$ ./checker.native examples/imp.nd
To generate an OCaml program with the alternative Prolog file format parser, run `make prolog` in the root directory. Example proofs (`.pl` files) can then be checked as follows:
$ ./prolog.native examples/imp_perm.pl
Building the CakeML checker
--------------------------
A verified executable checker in [CakeML](https://cakeml.org) can be obtained using the CakeML proof-producing synthesis tool ("compiler frontend 1"). To generate it, go to the `cakeml` directory and adjust the `CAKEMLDIR` variable in the `Holmake` file to point to the directory with CakeML release 1009. Then, run `Holmake`.
For convenience, a pretty-printed [version](https://gist.github.com/palmskog/a988783a000ae6319eed15819eeb60ac) of the verified CakeML code is available; note that the pretty-printing itself has not been verified. Moreover, there is currently no parser for for the surface syntax.
Documentation
-------------
To generate a document (`fitch.pdf`) describing the proof system and proofs, run `make fitch.pdf` (requires LaTeX and Ott).