🐧 **HOL4 – interactive theorem prover**
HOL4 is an interactive theorem prover for classical higher-order logic. It provides a platform for formalising mathematics. The post HOL4 – interactive theorem prover appeared first on LinuxLinks.
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HOL4 is an interactive theorem prover for classical higher-order logic. It provides a platform for formalising mathematics. The post HOL4 – interactive theorem prover appeared first on LinuxLinks.
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Original post on igeek.gamer-geek-news.com
igeek.gamer-geek-news.com
July 12, 2026 at 8:11 AM
🐧 **HOL4 – interactive theorem prover**
HOL4 is an interactive theorem prover for classical higher-order logic. It provides a platform for formalising mathematics. The post HOL4 – interactive theorem prover appeared first on LinuxLinks.
📰 Source: LinuxLinks
🔗 Link […]
HOL4 is an interactive theorem prover for classical higher-order logic. It provides a platform for formalising mathematics. The post HOL4 – interactive theorem prover appeared first on LinuxLinks.
📰 Source: LinuxLinks
🔗 Link […]
Are you considering HOL4 or HOL Light?
March 27, 2025 at 9:55 PM
Are you considering HOL4 or HOL Light?
GOL in GOL in HOL: Verified circuits in Conway’s game of life. ~ Magnus O. Myreen and Mario Carneiro. drops.dagstuhl.de/storage/00li... #ITP #HOL4
September 23, 2025 at 6:41 PM
GOL in GOL in HOL: Verified circuits in Conway’s game of life. ~ Magnus O. Myreen and Mario Carneiro. drops.dagstuhl.de/storage/00li... #ITP #HOL4
Mechanising Böhm trees and λη-completeness. ~ Chun Tian and Michael Norrish. drops.dagstuhl.de/storage/00li... #ITP #HOL4
September 23, 2025 at 6:45 PM
Mechanising Böhm trees and λη-completeness. ~ Chun Tian and Michael Norrish. drops.dagstuhl.de/storage/00li... #ITP #HOL4
I don't think "built into" is less of a thing in HOL4 and HOL Light than in the other systems. They are just ML libraries. So I would say HOL4 *does* have code generation because of the CakeML work.
January 13, 2025 at 5:15 PM
I don't think "built into" is less of a thing in HOL4 and HOL Light than in the other systems. They are just ML libraries. So I would say HOL4 *does* have code generation because of the CakeML work.
I only know HOL Light. But HOL4 has projects like for example CakeML, which really sounds exciting too 🤗
March 27, 2025 at 10:00 PM
I only know HOL Light. But HOL4 has projects like for example CakeML, which really sounds exciting too 🤗
YoutubeでHol4の実況動画主がアカウント毎バンになっているのはあの国が原因かな
April 27, 2025 at 2:35 PM
YoutubeでHol4の実況動画主がアカウント毎バンになっているのはあの国が原因かな
I have never heard of invalid tactics causing problems in real proofs. As noted above, HOL4 and HOL Light implement a check to catch them.
February 9, 2025 at 4:54 PM
I have never heard of invalid tactics causing problems in real proofs. As noted above, HOL4 and HOL Light implement a check to catch them.
Validation of HOL4's formal floating-point model. ~ Hugo Eidmann. www.diva-portal.org/smash/get/di... #ITP #HOL4
August 9, 2024 at 3:42 PM
Validation of HOL4's formal floating-point model. ~ Hugo Eidmann. www.diva-portal.org/smash/get/di... #ITP #HOL4
So I built MoscowML for my Raspberry Pi 4B, and it *can* be used to build HOL4.
Curiously, MoscowML appears to perform better than PolyML's bytecode interpreter on my Pi. That's so strange to me (but I guess it shouldn't be: PolyML's interpreter is not optimized at all!).
Curiously, MoscowML appears to perform better than PolyML's bytecode interpreter on my Pi. That's so strange to me (but I guess it shouldn't be: PolyML's interpreter is not optimized at all!).
March 29, 2025 at 5:48 PM
So I built MoscowML for my Raspberry Pi 4B, and it *can* be used to build HOL4.
Curiously, MoscowML appears to perform better than PolyML's bytecode interpreter on my Pi. That's so strange to me (but I guess it shouldn't be: PolyML's interpreter is not optimized at all!).
Curiously, MoscowML appears to perform better than PolyML's bytecode interpreter on my Pi. That's so strange to me (but I guess it shouldn't be: PolyML's interpreter is not optimized at all!).
我是一名来自中国的高中生，也是一位忠实的hol4玩家，我很希望尝试hol4的桌游版本！！！爱来自中国！！
January 17, 2025 at 3:46 PM
我是一名来自中国的高中生，也是一位忠实的hol4玩家，我很希望尝试hol4的桌游版本！！！爱来自中国！！
Lines 873-946 of HOL4/src/0/Term.sml are what I'm referring to; I'm not sure what algorithm it employs tbh (what would I cite in my notes?).
github.com/HOL-Theorem-...
github.com/HOL-Theorem-...
HOL/src/0/Term.sml at develop · HOL-Theorem-Prover/HOL
Canonical sources for HOL4 theorem-proving system. Branch develop is where “mainline development” occurs; when develop passes our regression tests, master is merged forward to catch up. - HOL-The...
github.com
April 12, 2025 at 2:24 PM
Lines 873-946 of HOL4/src/0/Term.sml are what I'm referring to; I'm not sure what algorithm it employs tbh (what would I cite in my notes?).
github.com/HOL-Theorem-...
github.com/HOL-Theorem-...
—HoL4 k0Mo0 3StassS? Q`haCeeS?
—Nada, pero si quieres te enseño a escribir...
—Nada, pero si quieres te enseño a escribir...
November 28, 2024 at 4:01 AM
—HoL4 k0Mo0 3StassS? Q`haCeeS?
—Nada, pero si quieres te enseño a escribir...
—Nada, pero si quieres te enseño a escribir...
HOL4 has made its documentation documents all available online in modern HTML format! Here's the "description" document, for example:
hol-theorem-prover.org/docs/trindem...
hol-theorem-prover.org/docs/trindem...
The HOL Logic in ML - HOL: Description
Reference description of the HOL system: the kernel, the libraries, and the theories distributed with HOL.
hol-theorem-prover.org
June 25, 2026 at 3:33 PM
HOL4 has made its documentation documents all available online in modern HTML format! Here's the "description" document, for example:
hol-theorem-prover.org/docs/trindem...
hol-theorem-prover.org/docs/trindem...
Doesn't polyml have this? I thought it is how HOL4 and Isabelle save their state?
December 18, 2025 at 11:04 PM
Doesn't polyml have this? I thought it is how HOL4 and Isabelle save their state?
Readings shared January 13, 2025. jaalonso.github.io/vestigium/po... #ITP #Coq #Rocq #HOL4 #CommonLisp #Programming #Math
January 14, 2025 at 7:57 AM
Readings shared January 13, 2025. jaalonso.github.io/vestigium/po... #ITP #Coq #Rocq #HOL4 #CommonLisp #Programming #Math
A formal proof of R(4,5)=25. ~ Thibault Gauthier, Chad E. Brown. arxiv.org/abs/2404.01761 #ITP #HOL4 #Math
April 3, 2024 at 4:27 PM
A formal proof of R(4,5)=25. ~ Thibault Gauthier, Chad E. Brown. arxiv.org/abs/2404.01761 #ITP #HOL4 #Math
Note that HOL4 has a notion of reduction (by Bruno Barras?), so in that sense is closer to Isabelle's simp.
April 21, 2025 at 4:03 PM
Note that HOL4 has a notion of reduction (by Bruno Barras?), so in that sense is closer to Isabelle's simp.
Readings shared December 9, 2025. jaalonso.github.io/vestigium/po... #AI #FunctionalProgramming #HOL4 #HOL-Light #Haskell #ITP #IsabelleHOL #LeanProver #Math
Readings shared December 9, 2025
The readings shared in Bluesky on 9 December 2025 are:
The equational theories project: Advancing collaborative mathematical research at scale. ~ Terence Tao et als. #ITP #LeanProver #Math
Formalized
jaalonso.github.io
December 10, 2025 at 10:16 AM
Readings shared December 9, 2025. jaalonso.github.io/vestigium/po... #AI #FunctionalProgramming #HOL4 #HOL-Light #Haskell #ITP #IsabelleHOL #LeanProver #Math
GOL in GOL in HOL: Verified circuits in Conway's game of life. ~ Magnus O. Myreen, Mario Carneiro. arxiv.org/abs/2504.00263 #ITP #HOL4
GOL in GOL in HOL: Verified Circuits in Conway's Game of Life
Conway's Game of Life (GOL) is a cellular automaton that has captured the interest of hobbyists and mathematicians alike for more than 50 years. The Game of Life is Turing complete, and people have be...
arxiv.org
April 2, 2025 at 9:00 AM
GOL in GOL in HOL: Verified circuits in Conway's game of life. ~ Magnus O. Myreen, Mario Carneiro. arxiv.org/abs/2504.00263 #ITP #HOL4
Candle: A verified implementation of HOL Light. ~ Oskar Abrahamsson et als. link.springer.com/article/10.1... #ITP #HOL4 #HOL_Light
Candle: A Verified Implementation of HOL Light (Extended Version) - Journal of Automated Reasoning
This paper presents a fully verified interactive theorem prover for higher-order logic, more specifically: a fully verified clone of HOL Light. Our verification proof of this new system results in an ...
link.springer.com
December 9, 2025 at 10:29 AM
Candle: A verified implementation of HOL Light. ~ Oskar Abrahamsson et als. link.springer.com/article/10.1... #ITP #HOL4 #HOL_Light
Thanks. Since HOL4 won't build on my Raspberry Pi, but HOL Light builds just fine, it looks like my choice has been made for me: HOL Light it is!
March 28, 2025 at 12:49 AM
Thanks. Since HOL4 won't build on my Raspberry Pi, but HOL Light builds just fine, it looks like my choice has been made for me: HOL Light it is!
Silly question, but HOL4 doesn't have code generation, does it? (I mean, ostensibly you could point at CakeML, but I mean "code generation" more built into it, like Coq and Isabelle.)
January 13, 2025 at 5:01 PM
Silly question, but HOL4 doesn't have code generation, does it? (I mean, ostensibly you could point at CakeML, but I mean "code generation" more built into it, like Coq and Isabelle.)
It's still strange to me the assorted notations used by HOLs for Lists and Cons.
Isabelle/HOL - "x#xs"
HOL4 - "x::xs"
HOL Light - "CONS x xs"
HOLzero - does not define a list datatype!
Isabelle/HOL - "x#xs"
HOL4 - "x::xs"
HOL Light - "CONS x xs"
HOLzero - does not define a list datatype!
April 28, 2025 at 2:43 PM
It's still strange to me the assorted notations used by HOLs for Lists and Cons.
Isabelle/HOL - "x#xs"
HOL4 - "x::xs"
HOL Light - "CONS x xs"
HOLzero - does not define a list datatype!
Isabelle/HOL - "x#xs"
HOL4 - "x::xs"
HOL Light - "CONS x xs"
HOLzero - does not define a list datatype!