The axiomatic approach to non-classical model theory
R Diaconescu - Mathematics, 2022 - mdpi.com
Institution theory represents the fully axiomatic approach to model theory in which all
components of logical systems are treated fully abstractly by reliance on category theory …
components of logical systems are treated fully abstractly by reliance on category theory …
Forcing and calculi for hybrid logics
D Găină - Journal of the ACM (JACM), 2020 - dl.acm.org
The definition of institution formalizes the intuitive notion of logic in a category-based setting.
Similarly, the concept of stratified institution provides an abstract approach to Kripke …
Similarly, the concept of stratified institution provides an abstract approach to Kripke …
Encoding hybridized institutions into first-order logic
R Diaconescu, A Madeira - Mathematical Structures in Computer …, 2016 - cambridge.org
A 'hybridization'of a logic, referred to as the base logic, consists of developing the
characteristic features of hybrid logic on top of the respective base logic, both at the level of …
characteristic features of hybrid logic on top of the respective base logic, both at the level of …
Modality across different logics
AR Freire, MA Martins - Logic Journal of the IGPL, 2024 - academic.oup.com
In this paper, we deal with the problem of putting together modal worlds that operate in
different logic systems. When evaluating a modal sentence, we argue that it is not sufficient …
different logic systems. When evaluating a modal sentence, we argue that it is not sufficient …
[HTML][HTML] An exercise on the generation of many-valued dynamic logics
In the last decades, dynamic logics have been used in different domains as a suitable
formalism to reason about and specify a wide range of systems. On the other hand, logics …
formalism to reason about and specify a wide range of systems. On the other hand, logics …
Quasi-varieties and initial semantics for hybridized institutions
R Diaconescu - Journal of Logic and Computation, 2016 - ieeexplore.ieee.org
We define and develop the concept of quasi-variety for models of hybrid logics and we apply
this for determining initial semantics for classes of hybrid logics theories. The hybrid logic is …
this for determining initial semantics for classes of hybrid logics theories. The hybrid logic is …
Implicit Kripke semantics and ultraproducts in stratified institutions
R Diaconescu - Journal of Logic and Computation, 2017 - academic.oup.com
We propose stratified institutions (a decade old generalized version of the theory of
institutions of Goguen and Burstall) as a fully abstract model theoretic approach to modal …
institutions of Goguen and Burstall) as a fully abstract model theoretic approach to modal …
Omitting types theorem in hybrid dynamic first-order logic with rigid symbols
In the present contribution, we prove an Omitting Types Theorem (OTT) for an arbitrary
fragment of hybrid dynamic first-order logic with rigid symbols (ie symbols with fixed …
fragment of hybrid dynamic first-order logic with rigid symbols (ie symbols with fixed …
Representing 3/2-institutions as stratified institutions
R Diaconescu - Mathematics, 2022 - mdpi.com
On the one hand, the extension of ordinary institution theory, known as the theory of stratified
institutions, is a general axiomatic approach to model theories where the satisfaction is …
institutions, is a general axiomatic approach to model theories where the satisfaction is …
Foundations and techniques for software reconfigurability
ALC Madeira - 2013 - search.proquest.com
The qualifier reconfigurable is used for software systems which behave differently in different
modes of operation (often called configurations) and commute between them along their …
modes of operation (often called configurations) and commute between them along their …