Abstract: This chapter contains sections titled: The Typed Lambda-Calculus, Sets With Structure, Interpretations, A Result Relating the Operational Semantics and Standard Interpretation of Λ T, ...

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A complete proof in Agda of the Church-Rosser theorem for untyped λ-calculus formalizing the methods by Komori-Matsuda-Yamakawa (2014) and the proof by Nagele-van Oostrom-Sternagel (2016); reuses the ...

Lambda-calculus and type theory form a foundational framework in computer science and mathematical logic, offering a formal approach to modelling computation and reasoning about programs. At its core, ...

Abstract: The aim of this article is double. From one side we survey the knowledge we have acquired these last ten years about the lattice of all λ-theories (equational extensions of untyped ...