How to make ad hoc proof automation less ad hoc
Georges Gonthier, Beta Ziliani, Aleksandar Nanevski, Derek R. Dreyer
Abstract
Georges Gonthier, Beta Ziliani, Aleksandar Nanevski, Derek R. Dreyer
Abstract
Most interactive theorem provers provide support for some form of user-customizable proof automation. In a number of popular systems, such as Coq and Isabelle, this automation is achieved primarily through tactics, which are programmed in a separate language from that of the prover's base logic. While tactics are clearly useful in practice, they can be difficult to maintain and compose because, unlike lemmas, their behavior cannot be specified within the expressive type system of the prover itself.
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Most interactive theorem provers provide support for some form of user-customizable proof automation. In a number of popular systems, such as Coq and Isabelle, this automation is achieved primarily through tactics, which are programmed in a separate language from that of the prover's base logic. While tactics are clearly useful in practice, they can be difficult to maintain and compose because, unlike lemmas, their behavior cannot be specified within the expressive type system of the prover itself.
Key concepts: Gas meter prover, Automated theorem proving, Computer science, Programming language, Proof assistant, Automation, Base (topology), Theoretical computer science