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There is a page named "HOL theorem prover family" on Wikipedia
- HOL (Higher Order Logic) denotes a family of interactive theorem proving systems using similar (higher-order) logics and implementation strategies. Systems...7 KB (725 words) - 02:22, 29 July 2024
- HOL Light is a proof assistant for classical higher-order logic. It is a member of the HOL theorem prover family. Compared with other HOL systems, HOL...4 KB (152 words) - 19:29, 29 February 2024
- higher-order logic and closely related to the logics of the HOL theorem prover family. The theorem proving systems TPS and ETPS are based on Q0. In August 2009...9 KB (1,135 words) - 18:33, 25 October 2023
- Proof assistant (redirect from Interactive theorem prover)proof of its formal specification. HOL theorem provers – A family of tools ultimately derived from the LCF theorem prover. In these systems the logical core...17 KB (1,202 words) - 07:39, 2 August 2024
- Satisfiability modulo theories (redirect from CVC Lite theorem prover)solvers, and the CVC format[citation needed] used by the CVC automated theorem prover. The SMT-LIB format also comes with a number of standardized benchmarks...46 KB (4,370 words) - 12:31, 12 August 2024
- Holonomy (redirect from Ambrose-Singer holonomy theorem)following theorem holds: If the dimension of the local holonomy group is constant, then the local and restricted holonomy agree: Hol p ∗ ( ω ) = Hol p 0 ...41 KB (5,870 words) - 20:52, 23 April 2024
- Pillai–Selberg theorem and Erdős–Delange theorem. In 2005, Avigad et al. employed the Isabelle theorem prover to devise a computer-verified variant of...59 KB (8,434 words) - 14:01, 10 August 2024
- and by John Harrison in 2009 using HOL Light (Harrison 2009). A computer-verified proof of both incompleteness theorems was announced by Lawrence Paulson...92 KB (12,132 words) - 22:29, 5 July 2024
- ML (programming language) (category ML programming language family)Historically, ML was conceived to develop proof tactics in the LCF theorem prover (whose language, pplambda, a combination of the first-order predicate...13 KB (1,461 words) - 10:36, 14 May 2024
- been used to prove impossibility theorems. Tang and Lin used SAT solvers to prove Arrow's theorem and other classic impossibility theorems. Geist and Endriss...29 KB (3,558 words) - 15:26, 22 December 2023
- Twelf (category Theorem proving software systems)programming languages. As such, it is closely related to Coq and Isabelle/HOL/HOL Light. However, unlike those systems, Twelf proofs are typically developed...7 KB (789 words) - 21:57, 22 August 2024
- Sunflower Lemma of Erdős and Rado (Formal proof development in Isabelle/HOL, Archive of Formal Proofs) The original term for this concept was " Δ {\displaystyle...18 KB (2,888 words) - 17:05, 21 March 2024
- Jordan normal form (redirect from Jordan canonical form theorem)calculus is defined as follows: Fix a bounded operator T. Consider the family Hol(T) of complex functions that is holomorphic on some open set G containing...43 KB (6,836 words) - 12:37, 25 June 2024
- version, the rely-guarantee method, in a theorem prover: Isabelle/HOL. 2005: Ábrahám's PhD thesis provides a way to prove multithreaded Java programs correct...49 KB (5,613 words) - 21:30, 20 August 2024
- disparate complexity of the fifth postulate, and believed it could be proved as a theorem from the other four. Many attempted to find a proof by contradiction...44 KB (6,018 words) - 09:27, 4 August 2024
- Natural language processing Programming language theory Computational linguistics Syntax analysis Formal verification Automated theorem proving v t e...5 KB (587 words) - 23:47, 16 August 2024
- OCaml (category ML programming language family)(OPAM). OCaml was initially developed in the context of automated theorem proving, and is used in static analysis and formal methods software. Beyond...37 KB (4,002 words) - 23:49, 3 August 2024
- second-order arithmetic is, and suffices to prove the axioms of second-order arithmetic. This result is termed Frege's theorem because it was noticed that in developing...48 KB (5,361 words) - 07:20, 20 August 2024
- The students are attempting to prove the formula for the Euler characteristic in algebraic topology, which is a theorem about the properties of polyhedra...40 KB (4,993 words) - 01:23, 27 July 2024
- Quaternion (section Lagrange's four-square theorem)at Wikimedia Commons Paulson, Lawrence C. Quaternions (Formal proof development in Isabelle/HOL, Archive of Formal Proofs) Quaternions – Visualisation...96 KB (12,653 words) - 17:28, 27 August 2024
- father of James." Hegel and all who believe in what Marshal Smuts calls "holism," will say: "Before you can understand this statement, you must know who
- projective theorem has a translation to a Euclidean version, although the Euclidean result is often messier to state and prove. Desargue's theorem illustrates