A Sound and Complete Deductive System for CTL* Verification

Developing a Verification and Training Phantom for Gynecological Brachytherapy System

Introduction Dosimetric accuracy is a major issue in the quality assurance (QA) program for treatment planning systems (TPS). An important contribution to this process has been a proper dosimetry method to guarantee the accuracy of delivered dose to the tumor. In brachytherapy (BT) of gynecological (Gyn) cancer it is usual to insert a combination of tandem and ovoid applicators with a complicat...

A Complete Deductive System for the μ-Calculus

The propositional μ-calculus as introduced by Kozen in [12] is considered. In that paper a finitary axiomatisation of the logic was presented but its completeness remained an open question. Here a different finitary axiomatisation of the logic is proposed and proved to be complete. The two axiomatisations are compared.

Probabilistic CTL*: The Deductive Way

Complex probabilistic temporal behaviours need to be guaranteed in robotics and various other control domains, as well as in the context of families of randomized protocols. At its core, this entails checking infinite-state probabilistic systems with respect to quantitative properties specified in probabilistic temporal logics. Model checking methods are not directly applicable to infinite-stat...

A Sound and Complete Proof System

A Sound and Complete Diagrammatic Reasoning System

Simple spider diagrams are a system of Venn-type diagrams that can be used to reason diagrammatically about sets, their cardinalities and their relationships. They extend the systems of Venn-Peirce diagrams investigated by Shin to include lower bounds for the cardinalities of the sets represented by the diagrams. This paper summarises the main syntax and semantics of simple spider diagrams and ...