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Mœbius: metaprogramming using contextual types: the stage where system f can pattern match on itself., , , and . Proc. ACM Program. Lang., 6 (POPL): 1-27 (2022)Mechanizing Proofs about Mendler-style Recursion., , and . LFMTP, page 1:1-1:9. ACM, (2016)Verifying Termination and Reduction Properties about Higher-Order Logic Programs.. J. Autom. Reason., 34 (2): 179-207 (2005)Instantiation of Existentially Quantified Variables in Inductive Specification Proofs., and . AISC, volume 1476 of Lecture Notes in Computer Science, page 247-258. Springer, (1998)Optimizing Higher-Order Pattern Unification., and . CADE, volume 2741 of Lecture Notes in Computer Science, page 473-487. Springer, (2003)Reasoning with Higher-Order Abstract Syntax and Contexts: A Comparison., and . ITP, volume 6172 of Lecture Notes in Computer Science, page 227-242. Springer, (2010)Programs Using Syntax with First-Class Binders., and . ESOP, volume 10201 of Lecture Notes in Computer Science, page 504-529. Springer, (2017)Index-Stratified Types (Extended Version)., , and . CoRR, (2018)A type-theoretic foundation for programming with higher-order abstract syntax and first-class substitutions.. POPL, page 371-382. ACM, (2008)POPLMark reloaded: Mechanizing proofs by logical relations., , , , , , and . J. Funct. Program., (2019)