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Model checking properties are often described by means of finite automata. Any particular such automaton divides the set of infinite trees into finitely many classes, according to which state has an infinite run. Building the full type…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Klaus Aehlig

In this paper we define the closure under weak convergence of the class of p-tempered {\alpha}-stable distributions. We give necessary and sufficient conditions for convergence of sequences in this class. Moreover, we show that any element…

概率论 · 数学 2013-06-11 Michael Grabchak

The Algebraic lambda-calculus and the Linear-Algebraic lambda-calculus extend the lambda-calculus with the possibility of making arbitrary linear combinations of terms. In this paper we provide a fine-grained, System F-like type system for…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Pablo Arrighi , Alejandro Diaz-Caro

In this paper we consider a type system with a universal type $\omega$ where any term (whether open or closed, $\beta$-normalising or not) has type $\omega$. We provide this type system with a realisability semantics where an atomic type is…

逻辑 · 数学 2009-05-05 Fairouz Kamareddine , Karim Nour

The infinitary lambda calculi pioneered by Kennaway et al. extend the basic lambda calculus by metric completion to infinite terms and reductions. Depending on the chosen metric, the resulting infinitary calculi exhibit different notions of…

计算机科学中的逻辑 · 计算机科学 2018-05-18 Patrick Bahr

We study invertibility of $\lambda$-terms modulo $\lambda$-theories. Here a fundamental role is played by a class of $\lambda$-terms called finite hereditary permutations (FHP) and by their infinite generalisations (HP). More precisely,…

计算机科学中的逻辑 · 计算机科学 2026-04-27 Antonio Bucciarelli , Arturo De Faveri , Giulio Manzonetto , Antonino Salibra

The formal system lambda-delta is a typed lambda calculus that pursues the unification of terms, types, environments and contexts as the main goal. lambda-delta takes some features from the Automath-related lambda calculi and some from the…

计算机科学中的逻辑 · 计算机科学 2008-09-25 F. Guidi

Let $U(p)$ denote the Atkin operator of prime index $p$. Honda and Kaneko proved infinite families of congruences of the form $f|U(p) \equiv 0 \pmod{p}$ for weakly holomorphic modular forms of low weight and level and primes $p$ in certain…

数论 · 数学 2015-04-15 Scott Ahlgren , Nickolas Andersen

We introduce a ``two-particle factorization'' condition which allows us to formulate the homogeneous Boltzmann equation for non-reversible collision kernels in terms of an entropy inequality. This formulation yields an H-Theorem. We provide…

数学物理 · 物理学 2026-05-06 Giada Basile , Dario Benedetto

We investigate the intersection problem for finite semigroups, which asks for a given set of regular languages, represented by recognizing morphisms to finite semigroups, whether there exists a word contained in their intersection. We…

形式语言与自动机理论 · 计算机科学 2018-06-14 Lukas Fleischer

In the folklore of linear logic, a common intuition is that the structure of finiteness spaces, introduced by Ehrhard, semantically reflects the strong normalization property of cut-elimination. We make this intuition formal in the context…

计算机科学中的逻辑 · 计算机科学 2016-03-24 Michele Pagani , Christine Tasson , Lionel Vaux

In this paper, we introduce a new class of optimization problems whose objective functions are weakly homogeneous relative to the constraint sets. By using the normalization argument in asymptotic analysis, we prove two criteria for the…

最优化与控制 · 数学 2022-04-29 Vu Trung Hieu

This paper studies normalisation by evaluation for typed lambda calculus from a categorical and algebraic viewpoint. The first part of the paper analyses the lambda definability result of Jung and Tiuryn via Kripke logical relations and…

计算机科学中的逻辑 · 计算机科学 2022-08-19 Marcelo Fiore

We show that the question whether a term is typable is decidable for type systems combining inclusion polymorphism with parametric polymorphism provided the type constructors are at most unary. To prove this result we first reduce the…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Sabine Glesner , Karl Stroetmann

We comment on recent results in the field of information based complexity, which state (in a number of different settings), that approximation of infinitely differentiable functions is intractable and suffers from the curse of…

数值分析 · 数学 2013-04-04 Jan Vybiral

In the course of classifying the homogeneous permutations, Cameron introduced the viewpoint of permutations as structures in a language of two linear orders, and this structural viewpoint is taken up here. The majority of this thesis is…

逻辑 · 数学 2018-05-14 Samuel Braunfeld

The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane-Emden type, including the following two model problems: $ -\Delta_p u = u^q + \mu$ and $F_k[-u] = u^q +…

偏微分方程分析 · 数学 2007-05-23 Nguyen Cong Phuc , Igor E. Verbitsky

We show that the homotopy category of a combinatorial stable model category $\ck$ is well generated. It means that each object $K$ of $\Ho(\ck)$ is an iterated weak colimit of $\lambda$-compact objects for some cardinal $\lambda$. A natural…

范畴论 · 数学 2009-12-03 J. Rosicky

This paper gives a uniform-theoretic refinement of classical homotopy theory. Both cubical sets (with connections) and uniform spaces admit classes of weak equivalences, special cases of classical weak equivalences, appropriate for the…

代数拓扑 · 数学 2021-09-20 Sanjeevi Krishnan , Crichton Ogle

In this article we show that hybrid type-logical grammars are a fragment of first-order linear logic. This embedding result has several important consequences: it not only provides a simple new proof theory for the calculus, thereby…

计算机科学中的逻辑 · 计算机科学 2014-05-27 Richard Moot