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Some philosophical issues concerning theories of combinators

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Category theory and programming language semantics: An overview
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Type Inference with Recursive Type Equations
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General Introduction and Motivation
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The $$\lambda $$-Calculus as a Formal System of Symbolic Logic and the Container Notation
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Levy Labels and Recursive Types
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“Wave-Style” Geometry of Interaction Models in Rel Are Graph-Like Lambda-Models
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Decidability Properties of Recursive Types
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Combinatory Logic, Language, and Cognitive Representations
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On the problem of deciding equality in partial combinatory algebras and in a formal system
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Term rewriting systems from Church-Rosser to Knuth-Bendix and beyond
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Tω as a Universal Domain
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Map theory
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References
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Applications of infinitary lambda calculus
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Highlights in infinitary rewriting and lambda calculus
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Bibliography
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Lambda-Calculus and Combinators in the 20th Century
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Modular Construction of Fixed Point Combinators and Clocked Böhm Trees
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