Theorem Proving in Higher Order Logics

On the Utility of Formal Methods in the Development and Certification of Software.- Formal Techniques in Software Engineering: Correct Software and Safe Systems.- Separation Logic for Small-Step cminor.- Formalising Java’s Data Race Free Guarantee.- Finding Lexicographic Orders for Termination Proofs in Isabelle/HOL.- Formalising Generalised Substitutions.- Extracting Purely Functional Contents from Logical Inductive Types.- A Modular Formalisation of Finite Group Theory.- Verifying Nonlinear Real Formulas Via Sums of Squares.- Verification of Expectation Properties for Discrete Random Variables in HOL.- A Formally Verified Prover for the Description Logic.- Proof Pearl: The Termination Analysis of Terminator.- Improving the Usability of HOL Through Controlled Automation Tactics.- Verified Decision Procedures on Context-Free Grammars.- Using XCAP to Certify Realistic Systems Code: Machine Context Management.- Proof Pearl: De Bruijn Terms Really Do Work.- Proof Pearl: Looping Around the Orbit.- Source-Level Proof Reconstruction for Interactive Theorem Proving.- Proof Pearl: The Power of Higher-Order Encodings in the Logical Framework LF.- Automatically Translating Type and Function Definitions from HOL to ACL2.- Operational Reasoning for Concurrent Caml Programs and Weak Memory Models.- Proof Pearl: Wellfounded Induction on the Ordinals Up to ? 0.- A Monad-Based Modeling and Verification Toolbox with Application to Security Protocols.- Primality Proving with Elliptic Curves.- HOL2P - A System of Classical Higher Order Logic with Second Order Polymorphism.- Building Formal Method Tools in the Isabelle/Isar Framework.- Simple Types in Type Theory: Deep and Shallow Encodings.- Mizar’s Soft Type System.