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The HOL Light theorem prover
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HOL LIGHT HOL Light is an interactive theorem prover / proof checker. It is written in Objective CAML (OCaml) and uses the toplevel from OCaml as its front end. This is the HOL Light homepage: https://hol-light.github.io/ and this is the root of the Github code repository: https://github.com/jrh13/hol-light Basic installation instructions are below. For more detailed information on usage, see the Tutorial: https://hol-light.github.io/tutorial.pdf Refer to the reference manual for more details of individual functions: https://hol-light.github.io/references/HTML/reference.html (HTML files) https://hol-light.github.io/references/reference.pdf (one PDF file) * * * * * * * * INSTALLATION The Objective CAML (OCaml) implementation is a prerequisite for running HOL Light. HOL Light should work with any recent version of OCaml; I've tried it on at least 3.04, 3.06, 3.07+2, 3.08.1, 3.09.3, 3.10.0, 3.11.2, 4.00, 4.05 and 4.14. 1. OCaml: there are packages for many Linux distributions. For example, on a debian derivative like Ubuntu, you may just need to do the following: sudo apt-get install ocaml Alternatively you can download binaries directly, or get sources and build them (which in my experience is usually trouble-free). See the OCaml Web page for downloads and other information. http://caml.inria.fr/ocaml/index.en.html 2. Dependencies: HOL Light uses camlp5 and zarith (num for OCaml version < 4.14). If you have OPAM installed on your machine, running the following command inside this directory will create a local OPAM switch which uses the latest OCaml version that fully supports features of as well as all dependencies installed: make switch eval $(opam env) To manually install dependencies, the DEPENDENCIES chapter of this document explains it. Now for HOL Light itself. The instructions below assume a Unix-like environment such as Linux [or Cygwin (see www.cygwin.com) under Windows], but the steps automated by the Makefile are easy enough to invoke manually. There's more detail on doing that in the Tutorial. (0) You can download the HOL Light sources from the Github site. For example, the following will copy the code from the trunk of the Github repository into a new directory 'hol-light': git clone https://github.com/jrh13/hol-light.git The above is now the recommended way of getting HOL Light. There are also gzipped tar files on the HOL Light Web page, but they are only for quite old versions and will probably be difficult to use with recent versions of OCaml. You should next enter the 'hol-light' directory that has been created: cd ./hol-light There are now two alternatives: launch the OCaml toplevel and directly load the HOL Light source files into it, or create a standalone image with all the HOL Light sources pre-loaded. The latter is more convenient, but requires a separate checkpointing program, which may not be available for some platforms. First the basic approach: (1) Do 'make'. This ought to build the appropriate syntax extension file ('pa_j.cmo') for the version of OCaml that you're using. If you have the camlp4 or camlp5 libraries in a non-standard place rather than /usr/local/lib/ocaml/camlp4 or /usr/local/lib/ocaml/camlp5 then you may get an error like this Error while loading "pa_extend.cmo": file not found in path. in which case you should add the right directory to CAMLP4LIB or CAMLP5LIB, e.g. export CAMLP5LIB=$HOME/mylib/ocaml/camlp5 (2) If you are using a Unix-like environment, simply run `./hol.sh`. This should rebuild all the core HOL Light theories, and terminate after a few minutes with the usual OCaml prompt, something like: Camlp5 parsing version (HOL-Light) 8.03.00 # HOL Light is now ready for the user to start proving theorems. If you are not using a Unix-like environment, do 'ocaml'. (Actually for OCaml >= 4.02 I prefer 'ocaml -safe-string' to avoid mutable strings, while you may need something else like 'ocamlnum' on some platforms --- see [*] below.) If you are using OCaml 4.14, you need to create a top-level OCaml using 'ocamlmktop -o ocaml-hol' and use 'ocaml-hol' because the default 'ocaml' does not have 'compiler-libs' that is necessary to run HOL Light. At the OCaml prompt '#', do '#use "hol.ml";;' (the '#' is part of the command, not the prompt) followed by a newline. You can also use the load process (2) in other directories, but you should either set the environment variable HOLLIGHT_DIR to point to the directory containing the HOL source files, or change the first line of "hol.ml" to give that explicitly, from let hol_dir = ref (try Sys.getenv "HOLLIGHT_DIR" with Not_found -> Sys.getcwd());; to, for example let hol_dir = "/home/johnh/hol-light";; or let hol_dir = "/usr/share/hol";; Now for the alternative approach of building a standalone image. The level of convenience depends on the checkpointing program you have installed. As of 2024, there are three programs you can use. (1) DMTCP: you can download from here: https://github.com/dmtcp/dmtcp/releases To build DMTCP, please refer to https://github.com/dmtcp/dmtcp/blob/master/INSTALL.md . HOL Light does not have convenient commands or scripts to exploit DMTCP, but you can proceed as follows: 1. Start ocaml running under the DMTCP coordinator: dmtcp_launch ocaml 2. Use ocaml to load HOL Light as usual, for example: #use "hol.ml";; 3. From another terminal, issue the checkpoint command: dmtcp_command -kc This will kill the ocaml process once checkpointing is done. 4. Step 3 created a checkpoint of the OCaml process and a shell script to invoke it, both in the directory in which ocaml was started. Running that should restore the OCaml process with all your state and bindings: ./dmtcp_restart_script.sh (2) CRIU: CRIU is similar to DMTCP but faster. However, it requires sudo priviledge depending on your environment (e.g., WSL2). you can download from here: https://criu.org/Download/criu To build CRIU, please refer to https://criu.org/Installation . To checkpoint, 1. Start ocaml process and load HOL Light. 2. From another terminal, run criu dump -o dump.log -t <ocaml process id> --shell-job 3. To restore, run criu restore -o restore.log --shell-job Please refer to https://criu.org/Simple_loop for details. (3) selfie: This is a convenient OCaml checkpointing tool developed by Quentin Carbonneaux. Please git clone git://c9x.me/selfie.git and run `make selfie.cma` from the directory. Open ocaml and run # #load "selfie.cma";; # #use "selfie.ml";; Now you can use `snap "output.img";;` to checkpoint the process. The directories "Library" and "Examples" may give an idea of the kind of thing that might be done, or may be useful in further work. Thanks to Carl Witty for help with Camlp4 porting and advice on checkpointing programs. * * * * * * * * DEPENDENCIES 1. zarith or num: The HOL Light system uses the OCaml "Num" library or "Zarith" library for rational arithmetic. If OCaml 4.14 is used, HOL Light will use Zarith. You can install it using the OCaml package manager "opam" by opam install zarith If OCaml 4.05 is used, HOL Light will use Num which is included in the core system. If you are using an OCaml version between 4.06 and 4.13, Num must be installed separately because it is no longer included in the core system. You can use "opam" by opam install num Alternatively you can download the sources from here https://github.com/ocaml/num and build and install them following the instructions on that page, for example git clone https://github.com/ocaml/num mynums cd mynums make all sudo make install [assuming no earlier errors] 2. camlp5: this is needed to run HOL Light under any OCaml >= 3.10. Somtimes you need a recent version of camlp5 to be compatible with your OCaml. For example, OCaml 4.05 is compatible with camlp5 7.10 and OCaml 4.14 is compatible with camlp5 8.02 and 8.03. I recommend downloading the sources for a recent version from https://github.com/camlp5/camlp5/releases ('tags' tab has full series) and building it in "strict" mode before installing it, thus: cd software/camlp5-rel701 [or wherever you unpacked sources to] ./configure --strict make sudo make install [assuming no earlier errors] There are also packages for camlp5, so you may be able to get away with just something like sudo apt-get install camlp5 or opam pin add camlp5 <version (e.g., 7.10 for ocaml 4.05)> However, you may get a version in "transitional" instead of "strict" mode (do "camlp5 -pmode" to check which you have). * * * * * * * * [*] HOL Light uses the OCaml 'num' library for multiple-precision rationals. On many platforms, including Linux and native Windows, this will be loaded automatically by the HOL root file 'hol.ml'. However, OCaml on some platforms (notably Cygwin) does not support dynamic loading, hence the need to use 'ocamlnum', a toplevel with the 'num' library already installed. You can make your own with: ocamlmktop -o ocamlnum nums.cma
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