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CORR
2007
Springer
125views Education» more  CORR 2007»
13 years 7 months ago
Common knowledge logic in a higher order proof assistant?
This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality...
Pierre Lescanne
ICML
1989
IEEE
13 years 11 months ago
Higher-Order and Modal Logic as a Framework for Explanation-Based Generalization
Logic programming provides a uniform framework in which all aspects of explanation-based generalization and learning may be defined and carried out, but first-order Horn logic i...
Scott Dietzen, Frank Pfenning
BIRTHDAY
2010
Springer
13 years 7 months ago
Verifying the Modal Logic Cube Is an Easy Task (For Higher-Order Automated Reasoners)
Prominent logics, including quantified multimodal logics, can be elegantly embedded in simple type theory (classical higher-order logic). Furthermore, off-the-shelf reasoning syste...
Christoph Benzmüller
JC
2002
50views more  JC 2002»
13 years 7 months ago
Verifying Topological Indices for Higher-Order Rank Deficiencies
It has been known how to use computational fixed point theorems to verify existence and uniqueness of a true solution to a nonlinear system of equations within a small region abou...
R. Baker Kearfott, Jianwei Dian
CDC
2008
IEEE
121views Control Systems» more  CDC 2008»
14 years 1 months ago
Stability of a second order consensus algorithm with time delay
—In this paper, we investigate a second order consensus problem in a directed graph with non-uniform time delay. This problem arises naturally in real multi-agent systems such as...
Wen Yang, Andrea L. Bertozzi, Xiaofan Wang