Automatic Proof and Disproof in Isabelle/HOL

Autor: Lukas Bulwahn, Jasmin Christian Blanchette, Tobias Nipkow
Rok vydání: 2011
Předmět:
Zdroj: Frontiers of Combining Systems ISBN: 9783642243639
FroCoS
DOI: 10.1007/978-3-642-24364-6_2
Popis: Isabelle/HOL is a popular interactive theorem prover based on higherorder logic. It owes its success to its ease of use and powerful automation. Much of the automation is performed by external tools: The metaprover Sledgehammer relies on resolution provers and SMT solvers for its proof search, the counterexample generator Quickcheck uses the ML compiler as a fast evaluator for ground formulas, and its rival Nitpick is based on the model finder Kodkod, which performs a reduction to SAT. Together with the Isar structured proof format and a new asynchronous user interface, these tools have radically transformed the Isabelle user experience. This paper provides an overview of the main automatic proof and disproof tools.
Databáze: OpenAIRE