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Main Authors:	Neumann, Eike, Pauly, Arno, Pradic, Cécilia
Format:	Preprint
Published:	2024
Subjects:	Logic in Computer Science Logic 03D30, 08A50, 68Q17
Online Access:	https://arxiv.org/abs/2403.13975
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Minimal covers in the Weihrauch degrees
by: Lempp, Steffen, et al.
Published: (2023)

Foundational Analysis Of The Solvability Complexity Index: The Weihrauch-SCI Intermediate Hierarchy
by: Sorg, Christopher
Published: (2026)

Weihrauch problems as containers
by: Pradic, Cécilia, et al.
Published: (2025)

Computably discrete represented spaces
by: Neumann, Eike, et al.
Published: (2025)

Embeddability of graphs and Weihrauch degrees
by: Cipriani, Vittorio, et al.
Published: (2023)

There is a deep 1-generic set
by: Li, Ang
Published: (2024)

Finite model theory for pseudovarieties and universal algebra: preservation, definability and complexity
by: Ham, Lucy, et al.
Published: (2022)

Finitely Bounded Homogeneity Turned Inside-Out
by: Rydval, Jakub
Published: (2021)

The Weihrauch degree of finding Nash equilibria in multiplayer games
by: Crook, Tonicha, et al.
Published: (2021)

Computability of Initial Value Problems
by: Brattka, Vasco, et al.
Published: (2024)

The Myhill isomorphism theorem does not generalize much
by: Pradic, Cécilia
Published: (2025)

Variants of Solovay reducibility
by: Titov, Ivan
Published: (2024)

The weakness of finding descending sequences in ill-founded linear orders
by: Goh, Jun Le, et al.
Published: (2024)

Finding descending sequences through ill-founded linear orders
by: Goh, Jun Le, et al.
Published: (2020)

On the incomputability of computable dimension
by: Staiger, Ludwig
Published: (2019)

On Chaitin's Heuristic Principle and Halting Probability
by: Salehi, Saeed
Published: (2023)

More on the indivisibility of $\mathbb{Q}$
by: Pauly, Arno
Published: (2024)

Problems with fixpoints of polynomials of polynomials
by: Pradic, Cécilia, et al.
Published: (2026)

SMB algebras II: On the Constraint Satisfaction Problem over Semilattices of Mal'cev Blocks
by: Marković, Petar, et al.
Published: (2026)

Flexible constraint satisfiability and a problem in semigroup theory
by: Jackson, Marcel
Published: (2015)

Why the classes P and NP are not well-defined finitarily
by: Anand, Bhupinder Singh
Published: (2024)

Sequential discontinuity and first-order problems
by: Pauly, Arno, et al.
Published: (2024)

Algebra of Self-Replication
by: Moss, Lawrence S.
Published: (2023)

Information vs Dimension -- an Algorithmic Perspective
by: Reimann, Jan
Published: (2024)

Implicit automata in λ-calculi III: affine planar string-to-string functions
by: Pradic, Cécilia, et al.
Published: (2024)

Strong Kurtz Randomness and Binary Expansions of Reordered Computable Numbers
by: Hertling, Peter, et al.
Published: (2025)

A Logspace Constructive Proof of L=SL
by: Buss, Sam, et al.
Published: (2025)

A Constructive Proof of Rice's Theorem and the Halting Problem via Hilbert's Tenth Problem
by: Brossard, Jonathan
Published: (2026)

Solovay reducibility implies S2a-reducibility
by: Titov, Ivan
Published: (2024)

A total Solovay reducibility and totalizing of the notion of speedability
by: Merkle, Wolfgang, et al.
Published: (2024)

From Witness-Space Sharpness To Family-Pointwise Exactness For The Solvability Complexity Index
by: Sorg, Christopher
Published: (2026)

Refutability as Recursive as Provability
by: Cattabriga, Paola
Published: (2024)

Chains and antichains in the Weihrauch lattice
by: Lempp, Steffen, et al.
Published: (2024)

Regainingly approximable numbers and sets
by: Hertling, Peter, et al.
Published: (2023)

Arithmetics within the Linear Time Hierarchy
by: Pollett, Chris
Published: (2025)

Complexities of Well-Quasi-Ordered Substructural Logics
by: Galatos, Nikolaos, et al.
Published: (2025)

The Galvin-Prikry Theorem in the Weihrauch lattice
by: Marcone, Alberto, et al.
Published: (2024)

A jump operator on the Weihrauch degrees
by: Andrews, Uri, et al.
Published: (2024)

Choiceless Polynomial Space
by: Ferrarotti, Flavio, et al.
Published: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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