Isabelle/HOL Theories of Algebras for Iteration, Infinite Executions and Correctness of Sequential Computations
PulseAugur coverage of Isabelle/HOL Theories of Algebras for Iteration, Infinite Executions and Correctness of Sequential Computations — every cluster mentioning Isabelle/HOL Theories of Algebras for Iteration, Infinite Executions and Correctness of Sequential Computations across labs, papers, and developer communities, ranked by signal.
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Lean Theorem Prover's AI Reliability Discussed; 'Common Side Effects' Season 2 Announced
The Lean Theorem Prover, a tool used in formal verification and by mathematicians, is being discussed for its reliability and potential applications in AI. This discussion highlights its role in software engineering and…
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Mathematicians explore Lean Theorem Prover for AI and reliability
Mathematicians can benefit from understanding the Lean Theorem Prover, a tool increasingly used for formal verification in mathematics and computer science. This prover offers enhanced reliability and is being explored …
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LogiKEy methodology uses proof assistants to teach logic
A new methodology called LogiKEy is being presented for teaching logic to students across computer science, mathematics, and philosophy. This approach utilizes a single proof assistant, Isabelle/HOL, to encode various o…
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LogiKEy methodology uses proof assistants to teach logic
Researchers have developed the LogiKEy methodology, a novel approach to teaching logic to students across computer science, mathematics, and philosophy. This method utilizes the Isabelle/HOL proof assistant as a univers…
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Gödel's Ontological Argument Ported to Lean 4
Researchers have successfully ported a dataset concerning Gödel's and Scott's ontological arguments from Isabelle/HOL to the Lean 4 programming language. This comprehensive port maintains the original structure, includi…
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New GUARD framework autoformalizes argumentative inferences with LLMs and theorem provers
Researchers have developed a neuro-symbolic framework called GUARD to address the challenge of autoformalizing argumentative material inferences. This system uses large language models to construct and formalize candida…
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New embeddings for monadic second-order logic developed in Isabelle/HOL
Researchers have developed three distinct embeddings for monadic second-order logic (MSO) within the Isabelle/HOL theorem prover. These embeddings include a deep embedding, a maximal-shallow embedding, and a minimal-sha…
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HybridProver framework enhances LLM-driven theorem proving
Researchers have developed HybridProver, a novel framework that integrates large language models (LLMs) with traditional tactic-based theorem proving. This approach uses proof sketches as an intermediate representation …
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New embeddings for first-order modal logic in Isabelle/HOL developed
Researchers have developed new methods for embedding first-order modal logic (FML) within Isabelle/HOL, a higher-order logic theorem prover. This work extends prior research from propositional logic to the more complex …
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New framework grounds ODRL policies in UFO-L ontology
Researchers have developed a new framework for understanding ODRL policies by grounding them in the UFO-L ontology. This approach clarifies the normative positions, authority structures, and power dynamics inherent in O…
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New Abduction Prover boosts automation for proof assistants
Researchers have developed an Abduction Prover designed to enhance automation in proof search for proof assistants like Isabelle/HOL. This new tool aims to reduce the cost of formal verification by using abductive reaso…