Julienne
发表于 2025-3-21 17:50:22
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梯田
发表于 2025-3-21 21:10:35
Reasoning About Algebraic Structures with Implicit Carriers in Isabelle/HOLctures in addition to reasoning in algebraic structures. We present an approach for this using classes and locales with implicit carriers. This involves using function liftings to implement some aspects of dependent types and using embeddings of algebras to inherit theorems. We also formalise a theory of filters based on partial orders.
gene-therapy
发表于 2025-3-22 04:15:06
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使厌恶
发表于 2025-3-22 07:52:53
Andrew Kakabadse,Nada KakabadseThis paper describes the design of the normalising tactic . for the Lean prover. This tactic improves on existing tactics by extending commutative rings with a binary exponent operator. An inductive family of types represents the normal form, enforcing various invariants. The design can also be extended with more operators.
CYN
发表于 2025-3-22 09:28:49
https://doi.org/10.1057/978-1-349-94994-6A fundamental theorem states that every field admits an algebraically closed extension. Despite its central importance, this theorem has never before been formalised in a proof assistant. We fill this gap by documenting its formalisation in Isabelle/HOL, describing the difficulties that impeded this development and their solutions.
flimsy
发表于 2025-3-22 15:03:39
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Abrupt
发表于 2025-3-22 20:51:06
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高调
发表于 2025-3-23 00:09:34
Algebraically Closed Fields in Isabelle/HOLA fundamental theorem states that every field admits an algebraically closed extension. Despite its central importance, this theorem has never before been formalised in a proof assistant. We fill this gap by documenting its formalisation in Isabelle/HOL, describing the difficulties that impeded this development and their solutions.
irreparable
发表于 2025-3-23 01:28:20
Formalization of Forcing in Isabelle/ZFWe formalize the theory of forcing in the set theory framework of Isabelle/ZF. Under the assumption of the existence of a countable transitive model of ., we construct a proper generic extension and show that the latter also satisfies .. In doing so, we remodularized Paulson’s . library.
玩笑
发表于 2025-3-23 08:15:10
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