In this paper we brie y discuss two constructions of the Mizar language rede nitions and registrations. We focus on practical aspects of using them in Mizar texts to be e ectively processed by the Mizar Verifier. We describe situations when rede nitions can be and should be replaced by corresponding registrations.

Focus particles interact with the focused constituent in a sentence. The particle only presents a challenge to formalizing this relationship as while it commonly precedes the focused constituent, only can also follow it. A syntactic account of these constructions is presented that captures the unique properties of only’s distribution within the framework presented in Kayne (1998) and offers sup...

In this paper, we survey some well-known approaches proposed as general models for calculi dealing with names (like e.g. process calculi with namepassing). We focus on (pre)sheaf categories, nominal sets, permutation algebras and named sets. We study the relationships among these models, which allow for transferring techniques and constructions from one model to the other.

After a discussion of different types of models being involved in the process of numerical simulation we focus on an analysis of air flow for civil engineering constructions. All models are derived from a product data model based on Industry Foundation Classes (IFC).

Each of these sentences can be compared with one or more of the others to demonstrate the presence of either the syntactic, semantic or pragmatic component. Sentences 1a and 1b both provide the same statement about the world and are thus semantically equivalent, but they differ in terms of their syntax (seen with the change in word order) and pragmatics (seen with the fronting, hence focus, of ...

Succinct non-interactive arguments (SNARGs) enable verifying NP statements with lower complexity than required for classical NP verification. Traditionally, the focus has been on minimizing the length of such arguments; nowadays researches have focused also on minimizing verification time, by drawing motivation from the problem of delegating computation. A common relaxation is a preprocessing S...

This dossier focuses on the framing of migratory phenomena as a crisis, with particular focus what discourses crisis do to reception. It brings together contributions from researchers various disciplines, who investigate both discursive constructions migration and migration.

This expository paper is based on the theory of imaginary geometry, due to Sheffield and Miller. We aim to explain enough of the theory for the reader to understand the main constructions and some basic interactions between them in a short time. We suppress the more technical aspects when possible to focus attention on building geometric intuition.

We use information theory to study recovering sets RL and strongly cancellative sets CL on different lattices. These sets are special classes of recovering pairs and cancellative sets previously discussed in the papers of Simonyi, Frankl, and Füredi. We mainly focus on the lattices Bn and D k l . Specifically, we find upper bounds and constructions for the sets RBn , CBn , and CDk l .

We discuss multiscale representations of discrete manifold-valued data. As it turns out that we cannot expect general manifold-analogues of biorthogonal wavelets to possess perfect reconstruction, we focus our attention on those constructions which are based on upscaling operators which are either interpolating or midpoint-interpolating. For definable multiscale decompositions we obtain a stabi...