A Unified framework for Testing linear-invariant properties arnab bhattacharyya CSAIL, MIT Joint work with ELENA GRIG

Feb 24, 2013

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A Unified framework for Testing linear-invariant properties arnab bhattacharyya CSAIL, MIT Joint work with ELENA GRIG

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Linear Time-Invariant Systems

Linear Time-Invariant Systems. Quote of the Day The longer mathematics lives the more abstract – and therefore, possibly also the more practical – it becomes. Eric Temple Bell.

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An Introduction to Parallel Computation and Ρ -Completeness Theory by Raymond Greenlaw. Joint work with :. Larry Ruzzo Department of Computer Science University of Washington. Jim Hoover Computing Science Department University of Alberta. Outline. Introduction Parallel Models of Computation

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Linear Time-Invariant Systems

Linear Time-Invariant Systems. Discrete-Time LTI Systems: Convolution Sum Continuous-Time LTI Systems: Convolution Integral Properties of LTI Systems Causal LTI Systems Described by Differential and Difference Equations Singularity Functions. Discrete-Time LTI Systems.

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Testing Affine-Invariant Properties

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Parallel Computation and Algorithms by Raymond Greenlaw Armstrong Atlantic State University. Joint work with:. Jim Hoover Computer Science Department University of Alberta. Pilar de la Torre Department of Computer Science University of New Hampshire. Alex Schaffer

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Temporal Logic Constraints in the Biochemical Abstract Machine BIOCHAM François Fages, Project-team: Contraintes, INRIA Rocquencourt http://contraintes.inria.fr/. Joint work with : Nathalie Sylvain Laurence

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Linear Shift-Invariant Systems

Linear Shift-Invariant Systems. Linear. If x(t) and y(t) are two input signals to a system, the system is linear if H[a*x(t) + b*y(t)] = aH[x(t)] + bH[y(t)] Where H specifies the transformation performed on the signal by the system. Shift Invariant.

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Linear Time Invariant systems

Linear Time Invariant systems. definitions, Laplace transform, solutions, stability. Lumpedness and causality. Definition: a system is lumped if it can be described by a state vector of finite dimension. Otherwise it is called distributed . Examples:

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Formal Languages in the Biochemical Abstract Machine BIOCHAM François Fages, INRIA Rocquencourt http://contraintes.inria.fr/. Joint work with : Nathalie Sylvain Laurence

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Biological Validation as Model-Checking François Fages, INRIA Rocquencourt http://contraintes.inria.fr/. Joint work with : Laurence Nathalie Sylvain

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Sequential and Parallel Algorithms for Some Problems on Trees by Raymond Greenlaw Armstrong Atlantic State University. Joint work with:. R. Petreschi Department of Computer Science University of Rome La Sapienza. P. de la Torre Department of Computer Science University of New Hampshire.

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Linear Time Invariant Systems

Linear Time Invariant Systems. Definitions A linear system may be defined as one which obeys the Principle of Superposition , which may be stated as follows:

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Correlation testing for affine invariant properties on

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