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Titlebook: Automated Reasoning; 10th International J Nicolas Peltier,Viorica Sofronie-Stokkermans Conference proceedings 2020 Springer Nature Switzerl

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发表于 2025-3-21 17:50:22 | 显示全部楼层 |阅读模式
期刊全称Automated Reasoning
期刊简称10th International J
影响因子2023Nicolas Peltier,Viorica Sofronie-Stokkermans
视频video
学科分类Lecture Notes in Computer Science
图书封面Titlebook: Automated Reasoning; 10th International J Nicolas Peltier,Viorica Sofronie-Stokkermans Conference proceedings 2020 Springer Nature Switzerl
影响因子.This two-volume set LNAI 12166 and 12167 constitutes the refereed proceedings of the 10th International Joint Conference on Automated Reasoning, IJCAR 2020, held in Paris, France, in July 2020.* In 2020, IJCAR was a merger of the following leading events, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems), ITP (International Conference on Interactive Theorem Proving), and TABLEAUX (International Conference on Analytic Tableaux and Related Methods)..The 46 full research papers, 5 short papers, and 11 system descriptions presented together with two invited talks were carefully reviewed and selected from 150 submissions. The papers focus on the following topics:.Part I: SAT; SMT and QBF; decision procedures and combination of theories; superposition; proof procedures; non classical logics.Part II: interactive theorem proving/ HOL; formalizations; verification; reasoning systems and tools.*The conference was held virtually due to the COVID-19 pandemic...Chapter ‘A Fast Verified Liveness Analysis in SSA Form’ is available open access under a Creative Commons Attribution 4.0 International License via link.spr
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发表于 2025-3-21 21:10:35 | 显示全部楼层
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.
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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.
发表于 2025-3-22 09:28:49 | 显示全部楼层
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.
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发表于 2025-3-23 00:09:34 | 显示全部楼层
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.
发表于 2025-3-23 01:28:20 | 显示全部楼层
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.
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