[PDF] Top 20 Generalized connectives for multiplicative linear logic
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Generalized connectives for multiplicative linear logic
... any generalized connective C (P,Q) cannot be ...Non-decomposable connectives represent a new challenging research subject in linear logic: a denotational semantics and the geometry of ... Voir le document complet
17
Deep inference and expansion trees for second-order multiplicative linear logic
... could imagine an isomorphism 0 ∼ = ∀a.a in a version of our proof nets which is extended with additives and exponentials. However, in this case 0 would not be initial. 9. Conclusions In this paper we have investigated ... Voir le document complet
31
Interaction Graphs: Full Linear Logic
... exponential connectives for full linear logic in a way that preserves the quantitative aspects of the ...exponential connectives along the same lines as in our work on (bounded) ... Voir le document complet
16
A crash course on generalized possibilistic logic
... The Modal Logic Tradition. In this approach, the idea is to represent the belief modality at the syntactic level using a necessity symbol that prefixes propositions from a standard propositional language, and ... Voir le document complet
16
A crash course on generalized possibilistic logic
... The Modal Logic Tradition. In this approach, the idea is to represent the belief modality at the syntactic level using a necessity symbol that prefixes propositions from a standard propositional language, and ... Voir le document complet
17
Proof Nets for First-Order Additive Linear Logic
... nets for first-order additive linear logic, the fragment of linear logic with sum, product, and first-order universal and existential ...quantification. For the other, ... Voir le document complet
23
An application of parallel cut elimination in unit-free multiplicative linear logic to the Taylor expansion of proof nets
... abusively identify − → a with any enumeration (a 1 , . . . , a n ) ∈ A n of its elements, and write 209 − → a , − → b for the union of disjoint families − → a and − → b . If − → γ is a family of trees or cuts, we ... Voir le document complet
18
Cones as a model of intuitionistic linear logic
... required for taking into account modern probabilistic languages used in Bayesian ...be generalized using a well-suited notion of ordered Banach space or pos- itive ... Voir le document complet
20
Contraction-free proofs and finitary games for Linear Logic
... semantics for logic goes back at least to Loren- zen [19], and to Blass [4] for linear ...exponential connectives, and among them none rule out infinite ... Voir le document complet
20
Linear Generalized ElGamal Encryption Scheme
... 3 Linear Encryption Boneh et ...called Linear, in- tended to take the place of DDH in groups - in partic- ular, bilinear groups (Joux and Nguyen, 2003) - where DDH is ...easy. For this setting, the ... Voir le document complet
12
An explicit formula for the free exponential modality of linear logic
... When linear logic was introduced by Jean-Yves Girard, twenty years ago, it was soon realized by Robert Seely and others that the multiplicative fragment of the logic should be interpreted in a ... Voir le document complet
13
An explicit formula for the free exponential modality of linear logic
... When linear logic was introduced by Jean-Yves Girard, twenty years ago, it was soon realized by Robert Seely (among a few others) that the multiplicative fragment of the logic should be ... Voir le document complet
35
Hybrid Linear Logic, revisited
... (Hybrid Linear Logic) is an extension of intuitionistic linear logic (ILL) that has been used as a framework for specifying systems that exhibit certain ...hybrid connectives (at ... Voir le document complet
19
Polynomial time in untyped elementary linear logic
... model: multiplicative exponential linear ...a linear setting ...encoding for which erasure cannot be deduced in the linear world. For this reason, we follow [14] where, rather ... Voir le document complet
41
Object calculi in linear logic
... accounted for in the fragment L using (an algebraic restriction of) simply-typed lambda terms to encode quantifiers and quantified variables occurring in method def- ...the linear connectives of L ... Voir le document complet
35
Par Means Parallel: Multiplicative Linear Logic Proofs as Concurrent Functional Programs
... The linear concurrent functional calculus GV in [37] is more similar in spirit to λ ` ...to linear logic, it displays no connection between computation and the full normalization process leading to ... Voir le document complet
37
Quantitative Game Semantics for Linear Logic
... easily generalized to other (even similar) ...Take, for example, the case of subsystems of Girard’s linear logic capturing complexity classes: there are at least three distinct subsystems of ... Voir le document complet
22
Higher-order distributions for differential linear logic.
... Differential Linear Logic · Categorical semantics · Topological vec- tor ...λ-calculus for coherent spaces led Girard to Linear Logic [9] and the understanding of the use of resources ... Voir le document complet
21
Vectorial Languages and Linear Temporal Logic
... Temporal Logic We will show that there exists a tight link between languages defined by logical conditions and languages defined by “equivalent” vectorial ...algorithm for a given automaton one must be able ... Voir le document complet
13
A unifying framework for specifying generalized linear models for categorical data
... 30. Linear predictor η: It can be written as the product of the design matrix Z and the vector of parameters β (Fahrmeir and Tutz, ...effect. For example, if X 1 has a ... Voir le document complet
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