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Archive of Formal Proofs, Volume 2024
Volume 2024, 2024
- Achim D. Brucker, Amy Stell:

(Extended) Interval Analysis. - Sebastián Buss:

Decomposition of totally ordered hoops. - Cameron Calk, Georg Struth:

Higher Globular Catoids and Quantales. - Tobias Nipkow:

Region Quadtrees. - Azucena Garvía Bosshard, Christoph Sprenger

, Jonathan Bootle:
The Sumcheck Protocol. - Pasquale Noce:

Information Flow Control via Stateful Intransitive Noninterference in Language IMP. - Terru Stübinger, Lars Hupel:

Go Code Generation for Isabelle. - Georg Struth, Tanguy Massacrier:

Cubical Categories. - Jakob Schulz, Emin Karayel:

Karatsuba Multiplication on Integers. - Axel Bergström, Tjark Weber:

Verified QBF Solving. - Jamie Chen:

Wieferich-Kempner Theorem. - Ata Keskin:

Doob's Upcrossing Inequality and Martingale Convergence Theorem. - Xavier Parent, Christoph Benzmüller:

Conditional normative reasoning as a fragment of HOL (Isabelle/HOL dataset). - Yong Kiam Tan, Jiong Yang:

Approximate Model Counting. - Manuel Eberl:

Continued Fractions. - Manuel Eberl:

Kummer's congruence. - Alexander Treml:

Uncertainty Principle. - Palle Raabjerg, Johannes Åman Pohjola, Tjark Weber:

Broadcast Psi-calculi. - Peter Gammie:

ConcurrentHOL. - Emin Karayel:

Derandomization with Conditional Expectations. - Andrei Herasimau, Jonathan Julián Huerta y Munive, Leonardo Lima, Martin Raszyk, Dmitriy Traytel:

A Verified Proof Checker for Metric First-Order Temporal Logic. - Vincent Trélat:

Substitutions for Lambda-Free Higher-Order Terms. - René Thiemann, Fabian Mitterwallner, Aart Middeldorp:

Undecidability Results on Orienting Single Rewrite Rules. - Achim D. Brucker, Nicolas Méric, Burkhart Wolff:

Isabelle/DOF. - Sage Binder, Katherine Kosaian:

Pick's Theorem. - Sarah Tilscher, Simon Wimmer:

LL(1) Parser Generator. - Shuhao Song, Bowen Yao:

Prime Number Theorem with Remainder Term. - Yannick Stade, Sarah Tilscher, Helmut Seidl:

Partial Correctness of the Top-Down Solver. - Jakob Schulz:

Schönhage-Strassen Multiplication. - Yosuke Ito:

Actuarial Mathematics. - Matthew Brecknell, David Greenaway, Johannes Hölzl, Fabian Immler, Gerwin Klein, Rafal Kolanski, Japheth Lim, Michael Norrish, Norbert Schirmer, Salomon Sickert, Thomas Sewell, Harvey Tuch, Simon Wimmer:

AutoCorres2. - Andrei Popescu, Jamie Wright:

More Operations on Lazy Lists. - Andrei Popescu, Jamie Wright:

Relative Security. - Brijesh Dongol, Matthew Griffin, Andrei Popescu, Jamie Wright:

Secret-Directed Unwinding. - Gergely Buday, Andrei Popescu:

Countable Sums and Discrete (Sub)Distributions. - Akihisa Yamada, René Thiemann:

Sorted Terms. - Mike Stannett:

The Stone-Cech Compactification. - René Thiemann, Akihisa Yamada:

Verifying a Decision Procedure for Pattern Completeness. - Michikazu Hirata:

The Lévy-Prokhorov Metric. - Michikazu Hirata:

The Riesz Representation Theorem. - Katherine Kosaian, Yong Kiam Tan:

Formalizing Coppersmith's Method. - René Thiemann:

A Preprocessor for Linear Diophantine Equalities and Inequalities. - Tobias Nipkow:

Alpha-Beta Pruning. - Eugene W. Stark:

Enriched Category Basics. - Eugene W. Stark:

Residuated Transition Systems II: Categorical Properties. - Michikazu Hirata:

Coproduct Measure. - Richard Schmoetten, Jacques D. Fleuriot:

Lie Groups and Algebras. - Simon Wimmer, Peter Lammich:

Worklist Algorithms. - Rayhana Amjad, Rob van Glabbeek, Liam O'Connor:

Definitive Set Semantics for LTL3. - Simon Wimmer, Peter Lammich:

Difference Bound Matrices. - Jamie Wright, Andrei Popescu:

A formalized programming language with speculative execution. - Fabián Fernando Serrano Suárez, Thaynara Arielly de Lima, Mauricio Ayala-Rincón:

Compactness Theorem for Propositional Logic and Combinatorial Applications. - Niklas Krofta:

Topological Groups. - Lawrence C. Paulson:

Ramsey Number Bounds. - Dominique Unruh:

With-Type - Poor man's dependent types. - Dominique Unruh:

Without Loss of Generality. - Lawrence C. Paulson:

An Exponential Improvement for Diagonal Ramsey. - Pasquale Noce:

Extension of Stateful Intransitive Noninterference with Inputs, Outputs, and Nondeterminism in Language IMP. - Emin Karayel, Zixuan Fan:

Rabin's Closest Pair of Points Algorithm. - Manuel Eberl:

A simple proof that π is irrational. - Manuel Eberl:

Concrete bounds for Chebyshev's prime counting functions. - Maximilian P. L. Haslbeck:

NREST: Nondeterministc RESult monad with Time. - Martin Desharnais:

Abstract Substitution. - Manuel Eberl, Peter Lammich:

Parallel Shear Sort. - Manuel Eberl:

The Karatsuba Square Root Algorithm. - Louis Cheung, Christine Rizkallah:

Formally Verified Suffix Array Construction. - Angeliki Koutsoukou-Argyraki:

Wooley's Discrete Inequality. - James Baxter, Dustin Bryant:

The Elementary Theory of the Category of Sets. - Eric Ren, Sage Binder, Katherine Kosaian:

Babai's Nearest Plane Algorithm. - Martin Desharnais, Balázs Tóth:

A Modular Formalization of Superposition. - Martin Desharnais:

Minimal, Maximal, Least, and Greatest Elements w.r.t. Restricted Ordering. - Manuel Eberl:

The Boustrophedon Transform, the Entringer Numbers, and Related Sequences. - Martin Desharnais:

SCL Simulates Nonredundant Ground Resolution. - Dominique Unruh:

The Tensor Product on Hilbert Spaces. - Sage Binder, Zilin Jiang:

Two Theorems on Hermitian Matrices. - Thomas Holme Surlykke:

Impossibility of the Dissection of a Cube. - Mantas Baksys:

A Generalization of the Cauchy-Davenport theorem. - Filip Smola, Jacques D. Fleuriot:

Deep Embedding of Intuitionistic Linear Logic. - Filip Smola, Jacques D. Fleuriot:

Linear Resources and Process Compositions. - Manuel Eberl:

The Sum-of-Squares Function and Jacobi's Two-Square Theorem. - Manuel Eberl:

Combinatorial q-Analogues. - Manuel Eberl:

The Rogers-Ramanujan Identities. - Manuel Eberl:

Theta Functions.

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