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* Exercise on looping Turing machines.David A. Madore2023-11-211-0/+71
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* Exercise showing that the indices of total functions is not semi-decidable ↵David A. Madore2023-11-211-0/+140
| | | | nor co-semi-decidable.
* Fix various mistakes (or notational blunders) noted during lecture on ↵David A. Madore2023-11-201-5/+5
| | | | 2023-11-20.
* The graph of the Ackermann function is p.r.David A. Madore2023-11-201-0/+235
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* More exercises on computability.David A. Madore2023-11-191-13/+250
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* Some exercises on computability.David A. Madore2023-11-171-0/+350
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* Fix various mistakes (or notational blunders) noted during lecture on ↵David A. Madore2023-11-171-21/+24
| | | | 2023-11-17.
* Beta-reduction and strong normalization (to be continued).David A. Madore2023-11-161-0/+41
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* More properties of typing, incl. the substitution lemma.David A. Madore2023-11-161-6/+97
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* Some properties of derivation in simply-typed lambda-calculus.David A. Madore2023-11-161-0/+111
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* Give an example of a fully written out derivation tree.David A. Madore2023-11-151-0/+39
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* Rules of the simply-typed lambda-calculus.David A. Madore2023-11-151-3/+122
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* Various curiosities.David A. Madore2023-11-151-3/+32
| | | | (Thanks to Thierry Martinez for most of these suggestions.)
* Type systems for logic.David A. Madore2023-11-151-1/+67
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* Curry's paradox (an interlude).David A. Madore2023-11-151-0/+88
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* Typing and termination.David A. Madore2023-11-151-0/+41
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* Tasks in a typing system.David A. Madore2023-11-151-1/+45
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* More examples of languages with interesting type systems.David A. Madore2023-11-151-4/+47
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* Use of typing systems beyond value control.David A. Madore2023-11-151-0/+36
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* Minor clarification.David A. Madore2023-11-141-2/+3
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* Generalities about polymorphism.David A. Madore2023-11-141-14/+64
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* Basic set of slides on typing.David A. Madore2023-11-141-0/+296
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* Fix mistakes in numbering of recursive functions.David A. Madore2023-11-081-5/+8
| | | | (Thanks, "RRt".)
* Rephrase for clarity.David A. Madore2023-11-081-2/+2
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* Typos.David A. Madore2023-11-061-3/+3
| | | | (Thanks, Ilia.)
* Reread up to Rice's theorem.David A. Madore2023-11-041-97/+166
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* Apparently "francais" is now obsolete. Sigh.David A. Madore2023-11-031-1/+1
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* Switch to Latin Modern font (and fudge some line breaks).David A. Madore2023-11-031-3/+4
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* Reformulate formalizations of Turing reduction.David A. Madore2023-11-031-21/+23
| | | | (Still not happy about this.)
* Typo.David A. Madore2023-11-021-1/+1
| | | | (Thanks, "jeanas".)
* One formalization of Turing reduction was wrong: quick fix (to be improved!).David A. Madore2023-11-021-5/+5
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* A few things about Turing reduction.David A. Madore2023-11-021-3/+128
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* Many-to-one reduction, and a new proof of Rice's theorem.David A. Madore2023-11-021-1/+160
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* Rice's theorem.David A. Madore2023-11-021-0/+88
| | | | Thanks, "jeanas" for the reminder that this is important.
* Numbering of recursive functions (compute explicit code for sum function).David A. Madore2023-11-011-4/+14
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* Minor changes.David A. Madore2023-11-011-4/+4
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* Googological meditation.David A. Madore2023-11-011-5/+39
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* Untyped lambda-calculus and a recursive type.David A. Madore2023-11-011-0/+36
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* Typo.David A. Madore2023-11-011-1/+1
| | | | (Thanks, Fabrice!)
* Various minor corrections and clarifications.David A. Madore2023-10-301-9/+13
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* Some comments and final thoughts.David A. Madore2023-10-301-11/+109
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* Equivalence of functions representable in the lambda-calculus and recursive ↵David A. Madore2023-10-301-4/+205
| | | | functions.
* Representation of p.r. functions by terms of the lambda-calculus.David A. Madore2023-10-301-12/+138
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* Representation of functions by terms of the lambda-calculus.David A. Madore2023-10-301-2/+38
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* A remark on arity.David A. Madore2023-10-301-0/+53
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* Outermost-leftmost (normal order) reduction; Church numerals.David A. Madore2023-10-251-2/+99
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* More about beta-reduction.David A. Madore2023-10-201-16/+119
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* Lambda-calculus: terms and bound variables.David A. Madore2023-10-201-1/+112
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* Busy beaver function.David A. Madore2023-10-191-0/+95
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* Decidable and semi-decidable sets.David A. Madore2023-10-191-1/+233
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