The given article provides some views on the development of problems formalization and representation a notion «sense», which is being conceptualized by an outstanding German philosopher Gottlob Frege, what’s mainly analyzed elaborated in his work “On Sense Reference”. key critical theories understanding «sense» according to Frege are characterized conceptual aspect, that is, paradigmatic conce...

Type assignment systems for λ-calculus based on intersection types are a general framework for building models of λ-calculus (known as filter-models) which are useful tools for reasoning in a finitary way about the denotational intepretation of terms. Indeed the denotation of a term is the set of types derivable for it and a type is a “finite piece” of information on such a denotation. This app...

This paper presents the semantics of CafeOBJ system and language. CafeOBJ is a succesor of the famous algebraic specification and programming language OBJ but adding several new primitive paradigms to the traditional OBJ language, such as rewriting logic, and behavioural concurrent specification. We do not address here the detalied mathematical aspects of CafeOBJ semantics (which sometimes coul...

The lazy evaluation of the λ-calculus, both in call-by-name and in call-by-value setting, is studied. Starting from a logical descriptions of two topological models of such calculi, a pre-order relation on terms, stratified by types, is defined, which grasps exactly the two operational semantics we want to model. Such a relation can be used for building two fully abstract models.

We show that the ideal sets of an argumentation framework can be characterized by two kinds of logical models: ideal models (2-valued logical models) and p-stable models (2-valued logical models). We also show that the maximal ideal set of an argumentation framework can be characterized by the well-founded+ model (a 3-valued logical model). These results argue for the logical foundations of the...