[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 …

[图书][B] CASL reference manual: The complete documentation of the common algebraic specification language

PD Mosses - 2004 - books.google.com
CASL, the Common Algebraic Specification Language, was designed by the members of
CoFI, the Common Framework Initiative for algebraic specification and development, and is …

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 …

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 …

[PDF][PDF] Heterogeneous specification and the heterogeneous tool set

T Mossakowski - 2005 - Citeseer
For the specification of large software systems, heterogeneous multi-logic specifications are
needed, since complex problems have different aspects that are best specified in different …

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 …

Institution-independent ultraproducts

R Diaconescu - Fundamenta Informaticæ, 2003 - content.iospress.com
We generalise the ultraproducts method from conventional model theory to an institution-
independent (ie independent of the details of the actual logic formalised as an institution) …

Elementary diagrams in institutions

R Diaconescu - Journal of Logic and Computation, 2004 - ieeexplore.ieee.org
We generalize the method of diagrams from conventional model theory to a simple
institution-independent (ie independent of the details of the actual logic formalized as an …

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 …