A survey of abstract algebraic logic
Algebraic logic was born in the XIXth century with the work of Boole, De Morgan, Peirce,
Schröder, etc. on classical logic, see [12, 16]. They took logical equivalence rather than truth …
Schröder, etc. on classical logic, see [12, 16]. They took logical equivalence rather than truth …
Institutions: Abstract model theory for specification and programming
JA Goguen, RM Burstall - Journal of the ACM (JACM), 1992 - dl.acm.org
There is a population explosion among the logical systems used in computing science.
Examples include first-order logic, equational logic, Horn-clause logic, higher-order logic …
Examples include first-order logic, equational logic, Horn-clause logic, higher-order logic …
General logics
J Meseguer - Studies in Logic and the Foundations of Mathematics, 1989 - Elsevier
General Logics* Page 1 Logic Colloquium '87 Ha. Ebbinghaus et al. (Editors) 0 Elsevier Science
Publishers BV (North-Holland), 1989 215 General Logics* JosC Meseguer SRI International …
Publishers BV (North-Holland), 1989 215 General Logics* JosC Meseguer SRI International …
[BOG][B] Foundations of algebraic specification and formal software development
D Sannella - 2012 - Springer
As its title promises, this book provides foundations for software specification and formal
software development from the perspective of work on algebraic specification. It …
software development from the perspective of work on algebraic specification. It …
[BOG][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 …
of a large variety of logics. This generality can be achieved by applying the theory of …
Rewriting logic as a logical and semantic framework
Rewriting logic [40] is proposed as a logical framework in which other logics can be
represented, and as a semantic framework for the specification of languages and systems …
represented, and as a semantic framework for the specification of languages and systems …
Institution morphisms
J Goguen, G Roşu - Formal aspects of computing, 2002 - Springer
Institutions formalise the intuitive notion of logical system, including syntax, semantics, and
the relation of satisfaction between them. Our exposition emphasises the natural way that …
the relation of satisfaction between them. Our exposition emphasises the natural way that …
[BOG][B] Categories for software engineering
JL Fiadeiro - 2005 - books.google.com
Why Another Book on Category Theory? In the past ten years, several books have been
published on category t-ory either by computer scientists or having computer scientists as a …
published on category t-ory either by computer scientists or having computer scientists as a …
Definitional trees
S Antoy - International Conference on Algebraic and Logic …, 1992 - Springer
Rewriting is a computational paradigm that specifies the actions, but not the control. We
introduce a hierarchical structure representing, at a high level of abstraction, a form of …
introduce a hierarchical structure representing, at a high level of abstraction, a form 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 …
components of logical systems are treated fully abstractly by reliance on category theory …