Abstract
We introduce static and dynamic algebras for specifying combinations of modules communicating among them via shared second-order variables. In the static algebra, atomic modules are classes of structures. They are composed using operations of extended Codd’s relational algebra, or, equivalently, first-order logic with least fixed point. The dynamic algebra has essentially the same syntax, but with a specification of inputs and outputs in addition. In the dynamic setting, atomic modules are formalized in any framework that allows for the specification of their input-output behaviour by means of model expansion. Algebraic expressions are interpreted by binary relations on structures. We demonstrate connections of the dynamic algebra with a modal temporal logic and deterministic while programs.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
