proof assistant造句

• Proof assistants require a human user to give hints to the system.
• The proof assistant Coq has also supported type classes in recent versions.
• The proof checking feature makes dependently typed languages closely related to proof assistants.
• Program extraction using realizability is implemented in some proof assistants such as Coq.
• This was added to the Half proof assistant ( a variant of Alf ).
• However, outside the field of automated proof assistants, this is rarely done in practice.
• He led the Coq project in the 1990s with Christine Paulin, who developed the Coq proof assistant.
• In 2005, Benjamin Werner and Georges Gonthier formalized a proof of the theorem inside the Coq proof assistant.
• Many such systems are primarily intended for interactive use by human mathematicians : these are known as proof assistants.
• For this second reason, the CoC and its variants have been the basis for Coq and other proof assistants.
• This approach was sufficiently modular to allow them to formally prove the correctness of the machine in the Matita proof assistant.
• The incompleteness theorems are among a relatively small number of nontrivial theorems that have been transformed into formalized theorems that can be completely verified by proof assistant software.
• A fully formal proof, checked with the Coq proof assistant, was announced in September 2012 by Georges Gonthier and fellow researchers at Microsoft Research and INRIA.
• One reason that this particular aspect of intuitionistic logic is so valuable is that it enables practitioners to utilize a wide range of computerized tools, known as proof assistants.
• He is known for his work in interactive and automatic theorem proving, in particular for the Isabelle proof assistant; he is the editor of the Journal of Automated Reasoning.
• There is an ongoing open-source effort to formalize G鰀el's proof to a level that is suitable for automated theorem proving or at least computer verification via proof assistants.
• A considerable amount of mathematics has been formalized using this system and modern proof assistants such as HoTT Coq library and HoTT Agda library, that developed the univalent ideas in new directions.
• The project used two proof assistants; HOL Light and Isabelle . " Annals of Mathematics " accepted the proof in 2005; but was only 99 % sure of the proof.
• There are two standard ways of interacting with proof assistants : by writing a series of tactic invocations ( Coq style ), or by interactively elaborating a proof term ( Agda style ).
• "' Georges Gonthier "'is one of the leading practitioners in Feit Thompson proof of the odd-order theorem . ( Both were written using the proof assistant Coq .)