Compositionality for Quantitative Specifications

Uli Fahrenberg (1) , Jan Křetínský (2) , Axel Legay (1) , Louis-Marie Traonouez (1)

1 ESTASYS - Efficient STAtistical methods in SYstems of systems
2 IST Austria - Institute of Science and Technology [Klosterneuburg, Austria]

We provide a framework for compositional and iterative design and verification of systems with quantitative information, such as rewards, time or energy. It is based on disjunctive modal transition systems where we allow actions to bear various types of quantitative information. Throughout the design process the actions can be further refined and the information made more precise. We show how to compute the results of standard operations on the systems, including the quotient (residual), which has not been previously considered for quantitative non-deterministic systems. Our quantitative framework has close connections to the modal nu-calculus and is compositional with respect to general notions of distances between systems and the standard operations.

Domaines: Informatique [cs]; Théorie et langage formel [cs.FL]

Uli Fahrenberg, Jan Křetínský, Axel Legay, Louis-Marie Traonouez. Compositionality for Quantitative Specifications. [Research Report] Inria Rennes. 2014. ⟨hal-01088154⟩