(kernel) to increase the trustworthiness of proofs without requiring — yet supporting — explicit proof objects. Isabelle is available inside a flexible system...
13 KB (1,258 words) - 16:55, 2 June 2024
for Coq, Isabelle by Makarius Wenzel, and for Lean 4 by the leanprover developers. Freek Wiedijk has been keeping a ranking of proof assistants by the amount...
17 KB (1,202 words) - 07:39, 2 August 2024
Tobias Nipkow; Markus Wenzel; Lawrence C. Paulson (2002). Isabelle/HOL: A Proof Assistant for Higher-Order Logic. Berlin, Heidelberg: Springer-Verlag...
7 KB (725 words) - 02:22, 29 July 2024
settlements, towns, or villages), mines, and dams Locale (Isabelle), a module of the Isabelle proof assistant Locale ('Ndrangheta), the main local organizational...
1 KB (188 words) - 03:33, 3 July 2020
Logic for Computable Functions (category Proof assistants)
to HOL, HOL Light, and the Isabelle proof assistant that supports various logics. As of 2019, the Isabelle proof assistant still contains an implementation...
5 KB (614 words) - 12:41, 25 July 2024
search operation during the Iraq war Sledgehammer (Isabelle), a tool of the Isabelle proof assistant Sledgehammer (ride), a ride at Canada's Wonderland...
2 KB (250 words) - 17:11, 3 February 2024
Nunchaku or Nunchuk may also refer to: Nunchaku (Isabelle), a tool of the Isabelle proof assistant Nunchuk (G.I. Joe), a fictional character in the G...
425 bytes (85 words) - 12:30, 31 May 2023
Look up Isabelle or Isabelle in Wiktionary, the free dictionary. Isabelle is a French feminine given name Isabelle may also refer to: Isabelle (singer)...
2 KB (320 words) - 06:16, 16 January 2024
Fermat's Last Theorem. Lawrence Paulson makes the first release of Isabelle (proof assistant). Lee Sallows introduces the alphamagic square. January 11 – The...
8 KB (800 words) - 17:07, 16 June 2024
interactive and automatic theorem proving, in particular for the Isabelle proof assistant; he was the editor of the Journal of Automated Reasoning up to...
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unimportant detail. Nitpicking may also refer to: Nitpick (Isabelle), a tool of the Isabelle proof assistant A form of hypercriticism, thus a pathologic or pejorative...
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target Intelligible semi-automated reasoning, the formal proof language of the Isabelle proof assistant Isar, a German river Isar Nuclear Power Plant, on the...
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Coq implementation. There is also a verified implementation in Isabelle (proof assistant) from which programs in Haskell and other (functional) languages...
14 KB (2,041 words) - 12:21, 12 April 2024
Kepler conjecture (category Computer-assisted proofs)
of a formal proof of the Kepler conjecture using a combination of the Isabelle and HOL Light proof assistants. In 2017, the formal proof was accepted...
22 KB (2,700 words) - 01:20, 19 August 2024
hashing or exponential trees. There is a verified implementation in Isabelle (proof assistant). Both functional correctness and time bounds are proved. Efficient...
16 KB (2,354 words) - 22:07, 24 August 2024
Presburger arithmetic (category Proof theory)
For example, the Coq proof assistant system features the tactic omega for Presburger arithmetic and the Isabelle proof assistant contains a verified quantifier...
24 KB (3,219 words) - 09:13, 12 August 2024
QED manifesto (category Proof assistants)
presented. The Archive of Formal Proofs a similar (refereed) repository of proofs in Isabelle/HOL. [1] A repository of proofs in Coq. UniMath "Coq library...
5 KB (567 words) - 19:52, 12 November 2023
Fuenmayor (May 2017). "Types, Tableaus and Gödel's God in Isabelle/HOL". Archive of Formal Proofs. ISSN 2150-914X. Quentin Canterel (2015). The Jolly Coroner:...
28 KB (3,617 words) - 11:46, 2 July 2024
Mizar system (category Proof assistants)
for writing mathematical definitions and proofs, a proof assistant, which is able to mechanically check proofs written in this language, and a library...
13 KB (1,213 words) - 19:09, 12 August 2024
IsaPlanner is a proof planner for the interactive proof assistant, Isabelle. Originally developed by Lucas Dixon as part of his PhD thesis at the University...
3 KB (295 words) - 13:13, 26 February 2023
Automated reasoning (section Proof systems)
essentially another proof assistant for classical higher order logic. Coq Developed in France, Coq is another automated proof assistant, which can automatically...
14 KB (1,352 words) - 14:24, 5 September 2024
Automated theorem proving (redirect from Automatic proof system)
specification. Automated theorem provers have been integrated with proof assistants, including Isabelle/HOL. Applications of theorem provers are also found in natural...
29 KB (2,945 words) - 22:08, 9 August 2024
Formal verification (redirect from Program proof)
discharging these obligations using either proof assistants (interactive theorem provers) (such as HOL, ACL2, Isabelle, Coq or PVS), or automatic theorem provers...
17 KB (1,811 words) - 14:30, 4 September 2024
Logical framework (category Proof assistants)
widely known Edinburgh Logical Framework, LF. Several more recent proof tools like Isabelle are based on this idea. Unlike a direct embedding, the logical...
7 KB (965 words) - 21:53, 4 November 2023
grounds that the DOJ's Antitrust Division had failed to meet the burden of proof that it would harm competition and result in consumer price increases. The...
418 KB (13,085 words) - 04:38, 13 August 2024
the decomposition can be helpful, because the formal definitions enable a proof that different methods must be used for verifying safety properties versus...
13 KB (1,738 words) - 21:31, 20 August 2024
solvers CHC SAT SMT Lightweight Alloy TLA+ Proof assistants ACL2 Agda Coq F* HOL Light HOL4 Idris Isabelle Isabelle/HOL Lean LEGO Mizar NuPRL PVS Twelf...
10 KB (1,081 words) - 12:05, 17 July 2024
Interactive Proof. Proofs have been done using embeddings of Separation Logic into interactive theorem provers such as the Coq proof assistant and HOL (proof assistant)...
28 KB (3,647 words) - 05:28, 22 June 2024
Gödel's incompleteness theorems (category Proof theory)
2009). A computer-verified proof of both incompleteness theorems was announced by Lawrence Paulson in 2013 using Isabelle (Paulson 2014). The main difficulty...
92 KB (12,132 words) - 22:29, 5 July 2024
known as non-chronological backtracking), e-graphs are extended to produce proof certificates. E-graphs are also used in the Simplify theorem prover of ESC/Java...
13 KB (1,893 words) - 16:11, 23 June 2024