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Lecture 9

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MAYANK PANDEY,MNNIT ALLAHABAD, INDIA 1 HM Logic with Recursion Mayank Pandey Motilal Nehru National Institute of Technology, Allahabad, Uttar Pradesh, India
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Page 1: Lecture 9

MAYANK PANDEY,MNNIT ALLAHABAD, INDIA 1

HM Logic with Recursion

Mayank Pandey

Motilal Nehru National Institute of Technology,

Allahabad, Uttar Pradesh, India

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Verifying Reactive Systems

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Verifying Reactive Systems

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Verifying Reactive Systems

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Power of HM Logic

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Power of HM Logic

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Power of HM Logic

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Temporal Properties: Can’t be expressed

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Temporal Properties: Can’t be expressed

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Temporal Properties: Can’t be expressed

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Solution:

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Solution:

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Solution:

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Solving Equations:

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Solving Equations:

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Solving Equations:

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The Lattice theory

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The Lattice theory

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Supremum and Infimum

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Supremum and Infimum

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Complete Lattice and monotonic functions

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Complete Lattice and monotonic functions

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Tarski’s Theorem

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Tarski’s Theorem

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Computing Fixed Points

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Computing Fixed Points

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Computing Fixed Point

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HM Logic: Denotational Semantics

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The Correspondence Theorem

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Image Finite LTS

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HM Logic and Strong Bisimilarity


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