cvc5: A versatile and industrial-strength SMT solver

H Barbosa, C Barrett, M Brain, G Kremer… - … Conference on Tools …, 2022 - Springer
Abstract cvc5 is the latest SMT solver in the cooperating validity checker series and builds
on the successful code base of CVC4. This paper serves as a comprehensive system …

Metitarski: Past and future

LC Paulson - International Conference on Interactive Theorem …, 2012 - Springer
A brief overview is presented of MetiTarski 4, an automatic theorem prover for real-valued
special functions: ln, \exp, sin, cos, etc. MetiTarski operates through a unique interaction …

Magnushammer: A transformer-based approach to premise selection

M Mikuła, S Tworkowski, S Antoniak… - arxiv preprint arxiv …, 2023 - arxiv.org
This paper presents a novel approach to premise selection, a crucial reasoning task in
automated theorem proving. Traditionally, symbolic methods that rely on extensive domain …

Learning-assisted automated reasoning with Flyspeck

C Kaliszyk, J Urban - Journal of Automated Reasoning, 2014 - Springer
The considerable mathematical knowledge encoded by the Flyspeck project is combined
with external automated theorem provers (ATPs) and machine-learning premise selection …

Satallax: An automatic higher-order prover

CE Brown - … Reasoning: 6th International Joint Conference, IJCAR …, 2012 - Springer
Satallax is an automatic higher-order theorem prover that generates propositional clauses
encoding (ground) tableau rules and uses MiniSat to test for unsatisfiability. We describe the …

Seventeen provers under the hammer

M Desharnais, P Vukmirović, J Blanchette… - … on Interactive Theorem …, 2022 - inria.hal.science
One of the main success stories of automatic theorem provers has been their integration into
proof assistants. Such integrations, or" hammers," increase proof automation and hence …

[HTML][HTML] Designing normative theories for ethical and legal reasoning: LogiKEy framework, methodology, and tool support

C Benzmüller, X Parent, L van der Torre - Artificial intelligence, 2020 - Elsevier
A framework and methodology—termed LogiKEy—for the design and engineering of ethical
reasoners, normative theories and deontic logics is presented. The overall motivation is the …

Refinement reflection: complete verification with SMT

N Vazou, A Tondwalkar, V Choudhury… - Proceedings of the …, 2017 - dl.acm.org
We introduce Refinement Reflection, a new framework for building SMT-based deductive
verifiers. The key idea is to reflect the code implementing a user-defined function into the …

Automatic proof and disproof in Isabelle/HOL

JC Blanchette, L Bulwahn, T Nipkow - … , October 5-7, 2011. Proceedings 8, 2011 - Springer
Isabelle/HOL is a popular interactive theorem prover based on higher-order logic. It owes its
success to its ease of use and powerful automation. Much of the automation is performed by …

[HTML][HTML] Universal (meta-) logical reasoning: Recent successes

C Benzmüller - Science of Computer Programming, 2019 - Elsevier
Classical higher-order logic, when utilized as a meta-logic in which various other (classical
and non-classical) logics can be shallowly embedded, is suitable as a foundation for the …