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# Lecture Notes #
[[Week1]] (13 Sept)
+[[Week1]] (13 Sept) Applications; Basics of Lambda Calculus; Comparing Different Languages
+
+Week2 (20 Sept) Reduction and Convertibility; Combinators; Evaluation Strategies and Normalization; Decidability; Lists and Numbers
+
+Week3 (27 Sept) Recursion with Fixed Point Combinators
+
+Introducing the notion of a "continuation", which technique we'll now already have used a few times
# Still To Come #
This is very sketchy at this point, but it should give a sense of our intended scope.
## More on the "pure" or untyped lambda calculus ##

1. Eta reduction and "extensionality"
1. Different evaluation strategies (call by name, call by value, etc.)
1. Strongly normalizing vs weakly normalizing vs nonnormalizing; ChurchRosser Theorem(s)
1. Lambda calculus compared to combinatorial logic
1. Churchlike encodings of numbers, defining addition and multiplication
1. Defining the predecessor function; alternate encodings for the numbers
1. Homogeneous sequences or "lists"; how they differ from pairs, triples, etc.
1. Representing lists as pairs
1. Representing lists as folds
1. Typical higherorder functions: map, filter, fold
1. Recursion exploiting the foldlike representation of numbers and lists ([[!wikipedia Deforestation (computer science)]], [[!wikipedia Zipper (data structure)]])
1. General recursion using omega
1. The Y combinator(s); more on evaluation strategies
1. Introducing the notion of a "continuation", which technique we'll now already have used a few times

## Types ##
1. Product or record types, e.g. pairs and triples