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Infinitary proof theory: the multiplicative additive case
D Baelde, A Doumane, A Saurin - 2016 - hal.science
Infinitary and regular proofs are commonly used in fixed point logics. Being natural
intermediate devices between semantics and traditional finitary proof systems, they are …
intermediate devices between semantics and traditional finitary proof systems, they are …
Bounded linear types in a resource semiring
DR Ghica, AI Smith - … Languages and Systems: 23rd European Symposium …, 2014 - Springer
Bounded linear types have proved to be useful for automated resource analysis and control
in functional programming languages. In this paper we introduce a bounded linear ty** …
in functional programming languages. In this paper we introduce a bounded linear ty** …
On the infinitary proof theory of logics with fixed points
A Doumane - 2017 - hal.science
The subject of this thesis is the proof theory of logics with fixed points, such as the μ-
calculus, linear-logic with fixed points, etc. These logics are usually equipped with finitary …
calculus, linear-logic with fixed points, etc. These logics are usually equipped with finitary …
Topos and stacks of deep neural networks
JC Belfiore, D Bennequin - arxiv preprint arxiv:2106.14587, 2021 - arxiv.org
Every known artificial deep neural network (DNN) corresponds to an object in a canonical
Grothendieck's topos; its learning dynamic corresponds to a flow of morphisms in this topos …
Grothendieck's topos; its learning dynamic corresponds to a flow of morphisms in this topos …
Full abstraction for the quantum lambda-calculus
P Clairambault, M De Visme - Proceedings of the ACM on Programming …, 2019 - dl.acm.org
Quantum programming languages permit a hardware independent, high-level description of
quantum algorithms. In particular, the quantum λ-calculus is a higher-order language with …
quantum algorithms. In particular, the quantum λ-calculus is a higher-order language with …
Higher order bayesian networks, exactly
C Faggian, D Pautasso, G Vanoni - Proceedings of the ACM on …, 2024 - dl.acm.org
Bayesian networks are graphical first-order probabilistic models that allow for a compact
representation of large probability distributions, and for efficient inference, both exact and …
representation of large probability distributions, and for efficient inference, both exact and …
Structural focalization
RJ Simmons - ACM Transactions on Computational Logic (TOCL), 2014 - dl.acm.org
Focusing, introduced by Jean-Marc Andreoli in the context of classical linear logic [Andreoli
1992], defines a normal form for sequent calculus derivations that cuts down on the number …
1992], defines a normal form for sequent calculus derivations that cuts down on the number …
A theory of effects and resources: adjunction models and polarised calculi
PL Curien, M Fiore, G Munch-Maccagnoni - ACM SIGPLAN Notices, 2016 - dl.acm.org
We consider the Curry-Howard-Lambek correspondence for effectful computation and
resource management, specifically proposing polarised calculi together with presheaf …
resource management, specifically proposing polarised calculi together with presheaf …
Game semantics in string diagrams
PA Melliès - 2012 27th Annual IEEE Symposium on Logic in …, 2012 - ieeexplore.ieee.org
A dialogue category is a symmetric monoidal category equipped with a notion of tensorial
negation. We establish that the free dialogue category is a category of dialogue games and …
negation. We establish that the free dialogue category is a category of dialogue games and …
On the endogenesis of Twitter's Spritzer and Gardenhose sample streams
Many recent publications deal with trend analysis, event detection or opinion mining on
social media data. Twitter, as the most important microblogging service, is often in the focus …
social media data. Twitter, as the most important microblogging service, is often in the focus …