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Background Dental calculus, calcified oral plaque biofilm, contains microbial and host biomolecules that can be used to study historic microbiome communities and host responses. Dental calculus does not typically accumulate as much today as historically,
Irina M. Velsko +10 more
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Reduction in a linear lambda-calculus with applications to operational semantics [PDF]
We study beta-reduction in a linear lambda-calculus derived from Abramsky's linear combinatory algebras. Reductions are classified depending on whether the redex is in the computationally active part of a term ("surface" reductions) or whether it is ...
Simpson, Alexander, Alex Simpson
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A new graphical calculus of proofs [PDF]
We offer a simple graphical representation for proofs of intuitionistic logic, which is inspired by proof nets and interaction nets (two formalisms originating in linear logic).
Sandra Alves +2 more
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A calculus for overloaded functions with subtyping
We present a simple extension of typed λ-claculus where functions can be overloaded by adding different “pieces of code”. In short, the code of an overloaded function is formed by several branches of code; the branch to execute is chosen, when the function is applied, according to a particular selection rule which ...
CASTAGNA G., GHELLI, GIORGIO, LONGO G.
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Functional calculus for generators of analytic semigroups of operators
We construct a functional calculus for generators of one-parameter bounded analytic semigroups of operators on a Banach space. The calculus symbol class consist of the Laplace image of the convolution algebra $\cal S'_+$ of tempered distributions with ...
O. V. Lopushansky, S. V. Sharyn
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The Bang Calculus and the Two Girard's Translations [PDF]
We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be ...
Giulio Guerrieri, Giulio Manzonetto
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Uniqueness of Taylor’s functional calculus [PDF]
Two uniqueness results concerning Fréchet module structures over algebras of holomorphic functions defined on some complex manifolds are presented, containing as particular cases uniqueness theorems for J. L. Taylor’s analytic functional calculi for commuting
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EXPTIME tableaux for the coalgebraic mu-calculus [PDF]
The coalgebraic approach to modal logic provides a uniform framework that captures the semantics of a large class of structurally different modal logics, including e.g. graded and probabilistic modal logics and coalition logic.
Pattinson, Dirk +2 more
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Taylor Functional Calculus [PDF]
The notion of spectrum of an operator is one of the central concepts of operator theory. It is closely connected with the existence of a functional calculus which provides important information about the structure of Banach space operators.The situation for commuting n -tuples of Banach space operators is much more complicated.
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Operator representations of function algebras and functional calculus [PDF]
This paper deals with some operator representations \(\Phi\) of a weak*-Dirichlet algebra \(A\), which can be extended to the Hardy spaces \(H^{p}(m)\), associated to \(A\) and to a representing measure \(m\) of \(A\), for \(1\leq p\leq\infty\).
Adina Juratoni, Nicolae Suciu
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