Dyadic obligations: proofs and countermodels via hypersequents

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Ciabattoni, Agata, Oliveti, Nicola, Parent, Xavier
Format:	Preprint
Publié:	2024
Sujets:	Logic in Computer Science
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Internal and External Calculi: Ordering the Jungle without Being Lost in Translations
par: Lyon, Tim S., et autres
Publié: (2023)

Defeasible Conditional Obligation in a Two-tiered Preference-based Semantics (Extended Version)
par: Parent, Xavier
Publié: (2026)

Toward Robust Legal Text Formalization into Defeasible Deontic Logic using LLMs
par: Horner, Elias, et autres
Publié: (2025)

A proof theory of (omega-)context-free languages, via non-wellfounded proofs
par: Das, Anupam, et autres
Publié: (2024)

Classification and deontic explosion for contrary-to-duty obligations
par: Kjos-Hanssen, Bjørn
Publié: (2026)

Support + Belief = Decision Trust
par: Aldini, Alessandro, et autres
Publié: (2024)

A proof-theoretic approach to abstract interpretation
par: D'Silva, Vijay, et autres
Publié: (2026)

Bijective proofs for Eulerian numbers of types B and D
par: Santocanale, Luigi
Publié: (2021)

A proof theory of right-linear (omega-)grammars via cyclic proofs
par: Das, Anupam, et autres
Publié: (2024)

A logic of judgmental existence and its relation to proof irrelevance
par: Pezlar, Ivo
Publié: (2024)

The proof theory and semantics of second-order (intuitionistic) tense logic
par: Becker, Justus, et autres
Publié: (2026)

A linear proof language for second-order intuitionistic linear logic
par: Díaz-Caro, Alejandro, et autres
Publié: (2023)

Wider systems for linear logic with fixed points: proof theory and complexity
par: Das, Anupam, et autres
Publié: (2026)

The failure of cut-elimination in cyclic proof for first-order logic with inductive definitions
par: Oda, Yukihiro, et autres
Publié: (2021)

Generalisation of proof simulation procedures for Frege systems by M.L.~Bonet and S.R.~Buss
par: Kozhemiachenko, Daniil
Publié: (2024)

A comparison of three kinds of monotonic proof-theoretic semantics and the base-incompleteness of intuitionistic logic
par: d'Aragona, Antonio Piccolomini
Publié: (2025)

Symbolic ω-automata with obligations
par: Di Stefano, Luca
Publié: (2025)

A study of cut-elimination for a non-labelled cyclic proof system for propositional dynamic logics
par: Oda, Yukihiro
Publié: (2025)

A study for recovering the cut-elimination property in cyclic proof systems by restricting the arity of inductive predicates
par: Oda, Yukihiro, et autres
Publié: (2022)

Short proofs without interference
par: Rebola-Pardo, Adrian
Publié: (2025)

An ecumenical view of proof-theoretic semantics
par: Nascimento, Victor, et autres
Publié: (2023)

Synthesizing nested relational queries from implicit specifications: via model theory and via proof theory
par: Benedikt, Michael, et autres
Publié: (2022)

A concise proof of Commoner's theorem
par: Jancar, Petr
Publié: (2024)

Between proof construction and SAT-solving
par: Schubert, Aleksy, et autres
Publié: (2024)

On the role of connectivity in Linear Logic proofs
par: Di Donna, Raffaele, et autres
Publié: (2025)

Towards solid abelian groups: A formal proof of Nöbeling's theorem
par: Asgeirsson, Dagur
Publié: (2023)

Computational expressivity of (circular) proofs with fixed points
par: Curzi, Gianluca, et autres
Publié: (2023)

Cyclic proof theory of positive inductive definitions
par: Curzi, Gianluca, et autres
Publié: (2025)

Non-wellfounded parsimonious proofs and non-uniform complexity
par: Acclavio, Matteo, et autres
Publié: (2024)

A precise proof of the n-variable Bekic principle
par: Xu, Jun
Publié: (2025)

Rewriting and Completeness of Sum-Over-Paths in Dyadic Fragments of Quantum Computing
par: Vilmart, Renaud
Publié: (2023)

Birkhoff style proof systems for hybrid-dynamic quantum logic
par: Gaina, Daniel
Publié: (2024)

Bayesian Networks and Proof-Nets: the proof-theory of Bayesian Inference
par: Di Guardia, Rémi, et autres
Publié: (2026)

A syntactic proof of decidability for the logic of bunched implication BI
par: Ramanayake, Revantha
Publié: (2016)

Sharing proofs with predicative theories through universe-polymorphic elaboration
par: Felicissimo, Thiago, et autres
Publié: (2023)

Lean-SMT: An SMT tactic for discharging proof goals in Lean
par: Mohamed, Abdalrhman, et autres
Publié: (2025)

Reduction Free Normalisation for a proof irrelevant type of propositions
par: Coquand, Thierry
Publié: (2021)

Intuitionistic modal logics: new and simpler decidability proofs for FIK and LIK
par: Balbiani, Philippe, et autres
Publié: (2025)

Bayesian Networks and Proof-Nets: a proof-theoretical account of Bayesian Inference
par: Ehrhard, Thomas, et autres
Publié: (2024)

A method for the automated generation of proof exercises with comparable levels of proving complexity
par: Mendes, João, et autres
Publié: (2026)

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'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"9272b72d78d7f92f1dab682b40d267dd"
language	"fr"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790716022.3117 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "9272b72d78d7f92f1dab682b40d267dd" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; VUFIND_SESSION=9272b72d78d7f92f1dab682b40d267dd; language=fr"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"47554"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2406_09088/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2406_09088/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790716022.3068
REQUEST_TIME	1790716022

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler