Vampire (theorem prover)
![]() | This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages)
|
Original author(s) | Andrei Voronkov[1] |
---|---|
Developer(s) | Vampire team |
Stable release | 4.5.1
/ 2020-07-15 |
Written in | C++ |
Available in | Vampire Modified BSD Licence[2] |
Type | Automated theorem proving |
Website | vprover |
Vampire is an automatic theorem prover for first-order classical logic developed in the Department of Computer Science at the University of Manchester. Up to Version 3, it was developed by Andrei Voronkov together with Kryštof Hoder and previously with Alexandre Riazanov. Since Version 4, the development has involved a wider international team including Laura Kovacs, Giles Reger, and Martin Suda. Since 1999 it has won at least 53 trophies in the "world cup for theorem provers" (the CADE ATP System Competition) including the most prestigious FOF division and the theory-reasoning TFA division.[3][4]
Background
Vampire's kernel implements the calculi of ordered binary resolution and superposition for handling equality. The splitting rule and negative equality splitting can be simulated by the introduction of new predicate definitions and dynamic folding of such definitions. A DPLL-style algorithm splitting is also supported. A number of standard redundancy criteria and simplification techniques are used for pruning the search space: tautology deletion, subsumption resolution, rewriting by ordered unit equalities, basicness restrictions and irreducibility of substitution terms. The reduction ordering used is the standard Knuth–Bendix ordering.
A number of efficient indexing techniques are used to implement all major operations on sets of terms and clauses. Run-time algorithm specialisation is used to accelerate forward matching.
Although the kernel of the system works only with clausal normal forms, the preprocessor component accepts a problem in the full first-order logic syntax, clausifies it and performs a number of useful transformations before passing the result to the kernel. When a theorem is proven, the system produces a verifiable proof, which validates both the clausification phase and the refutation of the conjunctive normal form.
Along with proving theorems, Vampire has other related functionalities such as generating interpolants.
Executables can be obtained from the system website.[5] As of November 2020, Vampire is released under modified version of the BSD 3-clause licence which explicitly permits commercial use. Previous versions were available under a proprietary non-commercial licence.
References
- ^ "History". vprover.github.io. Retrieved 24 May 2018.
- ^ "Vampire Licence (Modified BSD)". vprover.github.io. Retrieved 2 November 2022.
- ^ Riazanov, A.; Voronkov, A. (2002). "The design and implementation of VAMPIRE". AI Communications. 15 (2–3/2002): 91–110. ISSN 0921-7126.
- ^ Voronkov, A. (1995). "The anatomy of vampire". Journal of Automated Reasoning. 15 (2): 237–265. doi:10.1007/BF00881918.
- ^ "Vampire". vprover.github.io. Retrieved 2 November 2022.
External links
- No URL found. Please specify a URL here or add one to Wikidata.
- Use dmy dates from April 2022
- Articles lacking reliable references from May 2018
- All articles lacking reliable references
- Justapedia articles that are too technical from December 2009
- Articles with invalid date parameter in template
- All articles that are too technical
- Articles with multiple maintenance issues
- Official website missing URL
- Theorem proving software systems
- Department of Computer Science, University of Manchester
- All stub articles
- Logic stubs