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HOL (Higher Order Logic) denotes a family of interactive theorem proving systems using similar (higher-order) logics and implementation strategies. Systems...

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...

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...

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...

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...

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 ⁡...

Pillai–Selberg theorem and Erdős–Delange theorem. In 2005, Avigad et al. employed the Isabelle theorem prover to devise a computer-verified variant of...

and by John Harrison in 2009 using HOL Light (Harrison 2009). A computer-verified proof of both incompleteness theorems was announced by Lawrence Paulson...

Historically, ML was conceived to develop proof tactics in the LCF theorem prover (whose language, pplambda, a combination of the first-order predicate...

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...

programming languages. As such, it is closely related to Coq and Isabelle/HOL/HOL Light. However, unlike those systems, Twelf proofs are typically developed...

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...

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...

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...

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...

Natural language processing Programming language theory Computational linguistics Syntax analysis Formal verification Automated theorem proving v t e...

(OPAM). OCaml was initially developed in the context of automated theorem proving, and is used in static analysis and formal methods software. Beyond...

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...

The students are attempting to prove the formula for the Euler characteristic in algebraic topology, which is a theorem about the properties of polyhedra...

at Wikimedia Commons Paulson, Lawrence C. Quaternions (Formal proof development in Isabelle/HOL, Archive of Formal Proofs) Quaternions – Visualisation...