Algebraic theory of processes
Theoretical Computer Science
Process algebra
The ESTEREL synchronous programming language: design, semantics, implementation
Science of Computer Programming
From algebra to operational semantics
Information Processing Letters
Theoretical Computer Science
Initial Algebra Semantics and Continuous Algebras
Journal of the ACM (JACM)
Compiling Esterel
A framework for comparing models of computation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A denotational model for instantaneous signal calculus
SEFM'12 Proceedings of the 10th international conference on Software Engineering and Formal Methods
Towards a modeling language for cyber-physical systems
Theories of Programming and Formal Methods
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A theory of programming is intended to support the practice of programming by relating each program to the specification of what it is intended to achieve. Our intention is to develop a signal calculus for event-based synchronous languages used for specification and programming of embedded systems. In this paper, we mainly tackle conceptually instantaneous reactions, i.e., zero-time reactions. The delay-time reactions will be investigated in the follow-up work. To explore the semantic definition of instantaneous reactions (I-calculus), a set of algebraic laws is provided, which can be used to reduce all instantaneous reactions to a normal form algebraically. The normal form, surprisingly, exposes the internal implicit dependence explicitly. Consequently, that two differently written reactions happen to mean the same thing can be proved from the equations of an algebraic presentation.