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» Reasoning in Logic about Continuous Systems
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HYBRID
2003
Springer
13 years 10 months ago
A Hoare Logic for Single-Input Single-Output Continuous-Time Control Systems
This paper presents a Hoare-style logic for reasoning about the frequency response of control systems in the continuous-time domain. Two properties, the gain (amplitude) and phase ...
Richard J. Boulton, Ruth Hardy, Ursula Martin
JELIA
2004
Springer
13 years 10 months ago
Reasoning About Quantum Systems
Abstract. A new logic is proposed for reasoning about quantum systems. The logic embodies the postulates of quantum physics and it was designed from the semantics upwards by identi...
Paulo Mateus, Amílcar Sernadas
ENTCS
2007
91views more  ENTCS 2007»
13 years 4 months ago
A Logic for Reasoning about Generic Judgments
This paper presents an extension of a proof system for encoding generic judgments, the logic FOλ∆ of Miller and Tiu, with an induction principle. The logic FOλ∆ is itself an...
Alwen Tiu
AMAI
2007
Springer
13 years 5 months ago
A new modal logic for reasoning about space: spatial propositional neighborhood logic
It is widely accepted that spatial reasoning plays a central role in artificial intelligence, for it has a wide variety of potential applications, e.g., in robotics, geographical...
Antonio Morales, Isabel Navarrete, Guido Sciavicco
ENTCS
2008
136views more  ENTCS 2008»
13 years 5 months ago
Multimodal Separation Logic for Reasoning About Operational Semantics
We show how to reason, in the proof assistant Coq, about realistic programming languages using a combination of separation logic and heterogeneous multimodal logic. A heterogeneou...
Robert Dockins, Andrew W. Appel, Aquinas Hobor