[图书][B] Institution-independent model theory

R Diaconescu - 2008 - books.google.com
A model theory that is independent of any concrete logical system allows a general handling
of a large variety of logics. This generality can be achieved by applying the theory of …

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 …

Hybridization of institutions

MA Martins, A Madeira, R Diaconescu… - … Conference on Algebra …, 2011 - Springer
Modal logics are successfully used as specification logics for reactive systems. However,
they are not expressive enough to refer to individual states and reason about the local …

What is a Logic? In memoriam Joseph Goguen

T Mossakowski, J Goguen, R Diaconescu… - … universalis: towards a …, 2007 - Springer
This paper builds on the theory of institutions, a version of abstract model theory that
emerged in computer science studies of software specification and semantics. To handle …

Generalised graded interpolation

R Diaconescu - International Journal of Approximate Reasoning, 2023 - Elsevier
We develop an initial study of interpolation for graded consequence relations, which are
many-valued consequence relations that arise in connection to many-valued/fuzzy logics …

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 …

An institution-independent proof of Craig Interpolation Theorem

R Diaconescu - Studia Logica, 2004 - Springer
We formulate a general institution-independent (ie independent of the details of the actual
logic formalised as institution) version of the Craig Interpolation Theorem and prove it in …

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 …

Preservation in many-valued truth institutions

R Diaconescu - Fuzzy Sets and Systems, 2023 - Elsevier
The theory of L-institutions represents an axiomatic category-based approach to many-
valued truth model theory. Technically, L-institutions are many-valued truth extensions of …

An institution-independent proof of the Robinson consistency theorem

D Gaina, A Popescu - Studia Logica, 2007 - Springer
We prove an institutional version of A. Robinson's Consistency Theorem. This result is then
appliedto the institution of many-sorted first-order predicate logic and to two of its variations …