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Archive of Formal Proofs, Volume 2025
Volume 2025, 2025
- Christoph Benzmüller, Dana S. Scott:
Notes on Gödel's and Scott's Variants of the Ontological Argument (Isabelle/HOL dataset). - Emin Karayel:
Negatively Associated Random Variables. - Louis Cheung, Christine Rizkallah:
Formalised Burrows-Wheeler Transform. - Katherine Kosaian, Zili Wang, Elizabeth Sloan:
Mission-time Linear Temporal Logic. - Zili Wang, Katherine Kosaian:
Mission-time Linear Temporal Logic to Regular Expressions. - Tetsuya Sato, Yasuhiko Minamide:
Differential Privacy. - Michikazu Hirata:
Differential Privacy using Quasi-Borel Spaces. - Angeliki Koutsoukou-Argyraki, Lawrence C. Paulson:
Transitive Union-Closed Families. - Pablo Manrique:
Quantum Fourier Transform. - Stepan Holub, Martin Raska, Stepán Starosta, Tobias Nipkow:
Power Operator for Lists. - Dmitriy Traytel:
Formalization of (Conflict-)Serializability and Strict Two-Phase Locking. - Emin Karayel, Derek Khu, Kuldeep S. Meel, Yong Kiam Tan, Seng Joe Watt:
Verification of the CVM algorithm with a New Recursive Analysis Technique. - Benjamin Puyobro, Benoît Ballenghien, Burkhart Wolff:
A Proof of Hilbert Basis Theorem and an Extension to Formal Power Series. - Sophie Tourret, Lawrence C. Paulson:
Compactness Theorem for First-Order Logic. - Mohammad Abdulaziz:
Elementary Graph Traversal Algorithms. - Balázs Tóth:
First Order Clause. - Zili Wang, Katherine Kosaian, Alec Rosentrater:
Language Partitioning for Mission-time Linear Temporal Logic. - Benjamin Puyobro:
Morley's Theorem. - Vivek Soorya Maadoori, Syed Mohammad Meesum, Shiv Pillai, T. V. H. Prathamesh, Aditya Swami:
Formal Proof of Dilworth's Theorem. - Filip Maric, Jelena Markovic:
Formalization of Gyrovector Spaces as Models of Hyperbolic Geometry and Special Relativity. - Christian Pardillo Laursen, Simon Foster:
The Kolmogorov-Chentsov theorem. - Benoît Ballenghien:
Sophie Germain's Theorem. - Benoît Ballenghien, Benjamin Puyobro, Burkhart Wolff:
Definition and Elementary Properties of Ultrametric Spaces. - Ievgen Ivanov:
Completeness of Decreasing Diagrams for the Least Uncountable Cardinality. - René Thiemann, Christian Sternagel, Christina Kirk, Martin Avanzini, Bertram Felgenhauer, Julian Nagele, Thomas Sternagel, Sarah Winkler, Akihisa Yamada:
First-Order Rewriting. - Christina Kirk:
Proof Terms for Term Rewriting. - Yiran Duan, Lukas Stevens:
A Verified Reduction Algorithm from MLSSmf to MLSS. - Christoph Benzmüller:
Faithful Logic Embeddings in HOL - Deep and Shallow (Isabelle/HOL dataset). - Benoît Ballenghien, Burkhart Wolff:
CSP Semantics over Restriction Spaces. - Benoît Ballenghien, Benjamin Puyobro, Burkhart Wolff:
Restriction Spaces: a Fixed-Point Theory. - Benoît Ballenghien, Benjamin Puyobro, Burkhart Wolff:
Examples of Restriction Spaces. - Benoît Ballenghien, Benjamin Puyobro, Burkhart Wolff:
Ultrametric Structure for Restriction Spaces. - Lawrence C. Paulson:
Farey Sequences and Ford Circles. - Simon Foster:
Shallow Expressions. - Tobias Nipkow, Markus Gschoßmann, Felix Krayer, Fabian Lehr, Bruno Philipp, August Martin Stimpfle, Kaan Taskin, Akihisa Yamada:
Context-Free Grammars and Languages. - Simon Wimmer:
Munta: A Verified Model Checker for Timed Automata.

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