Interactive Theorem Proving

Table of Contents

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   Book Overview
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   Chapter 1 Physical Addressing on Real Hardware in Isabelle/HOL
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   Chapter 2 Towards Certified Meta-Programming with Typed T emplate -C oq
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   Chapter 3 Formalizing Ring Theory in PVS
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   Chapter 4 Software Tool Support for Modular Reasoning in Modal Logics of Actions
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   Chapter 5 Backwards and Forwards with Separation Logic
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   Chapter 6 A Coq Formalisation of SQL’s Execution Engines
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   Chapter 7 A Coq Tactic for Equality Learning in Linear Arithmetic
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   Chapter 8 The Coinductive Formulation of Common Knowledge
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    Chapter 9 Tactics and Certificates in Meta Dedukti
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    Chapter 10 A Formalization of the LLL Basis Reduction Algorithm
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    Chapter 11 A Formal Proof of the Minor-Exclusion Property for Treewidth-Two Graphs
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    Chapter 12 Verified Analysis of Random Binary Tree Structures
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    Chapter 13 HOL Light QE
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    Chapter 14 Efficient Mendler-Style Lambda-Encodings in Cedille
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    Chapter 15 Verification of PCP-Related Computational Reductions in Coq
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    Chapter 16 ProofWatch: Watchlist Guidance for Large Theories in E
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    Chapter 17 Reification by Parametricity
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    Chapter 18 Verifying the LTL to Büchi Automata Translation via Very Weak Alternating Automata
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    Chapter 19 CalcCheck : A Proof Checker for Teaching the “Logical Approach to Discrete Math”
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    Chapter 20 Understanding Parameters of Deductive Verification: An Empirical Investigation of KeY
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    Chapter 21 Software Verification with ITPs Should Use Binary Code Extraction to Reduce the TCB
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    Chapter 22 Proof Pearl: Constructive Extraction of Cycle Finding Algorithms
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    Chapter 23 Fast Machine Words in Isabelle/HOL
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    Chapter 24 Relational Parametricity and Quotient Preservation for Modular (Co)datatypes
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    Chapter 25 Towards Verified Handwritten Calculational Proofs
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    Chapter 26 A Formally Verified Solver for Homogeneous Linear Diophantine Equations
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    Chapter 27 Formalizing Implicative Algebras in Coq
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    Chapter 28 Boosting the Reuse of Formal Specifications
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    Chapter 29 Towards Formal Foundations for Game Theory
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    Chapter 30 Verified Timing Transformations in Synchronous Circuits with $$\lambda \pi $$ -Ware
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    Chapter 31 A Formal Equational Theory for Call-By-Push-Value
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    Chapter 32 Program Verification in the Presence of Cached Address Translation
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    Chapter 33 Verified Tail Bounds for Randomized Programs
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    Chapter 34 Verified Memoization and Dynamic Programming
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    Chapter 35 MDP + TA = PTA: Probabilistic Timed Automata, Formalized (Short Paper)
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    Chapter 36 Formalization of a Polymorphic Subtyping Algorithm
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    Chapter 37 An Agda Formalization of Üresin and Dubois’ Asynchronous Fixed-Point Theory