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Mathematics of Program Construction

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Cover of 'Mathematics of Program Construction'

Table of Contents

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    Book Overview
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    Chapter 1 On the aesthetics of diagrams
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    Chapter 2 Generalising monads
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    Chapter 3 A proof rule for control loops
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    Chapter 4 Relation-algebraic derivation of spanning tree algorithms
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    Chapter 5 An application of program derivation techniques to 18th-century mathematics
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    Chapter 6 Nested datatypes
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    Chapter 7 An approach to object-orientation in action systems
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    Chapter 8 Layered graph traversals and Hamiltonian path problems — An algebraic approach
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    Chapter 9 A unifying framework for correct program construction
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    Chapter 10 Computation calculus bridging a formalization gap
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    Chapter 11 An elementary derivation of the alternating bit protocol
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    Chapter 12 A set-theoretic model for real-time specification and reasoning
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    Chapter 13 Polytypic downwards accumulations
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    Chapter 14 Formal derivation of a loadable asynchronous counter
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    Chapter 15 A semantic approach to secure information flow
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    Chapter 16 Slack elasticity in concurrent computing
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    Chapter 17 Beyond fun: Order and membership in polytypic imperative programming
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    Chapter 18 Convergence of program transformers in the metric space of trees
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    Chapter 19 Realizability of monotone coinductive definitions and its application to program synthesis
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    Chapter 20 Calculating a round-robin scheduler
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