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INF110 (logique et fondements de l'informatique)
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Discuss continuation-passing-style.
David A. Madore
2023-12-12
1
-2
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+53
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Typing of call/cc.
David A. Madore
2023-12-12
1
-1
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+128
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A brief description of continuations and call/cc.
David A. Madore
2023-12-12
1
-2
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+111
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Slightly expand slide on Hilbert system.
David A. Madore
2023-12-12
1
-2
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+13
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A brief word about the S,K,I combinators.
David A. Madore
2023-12-12
1
-0
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+44
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A brief word on Curry-Howard for sequent calculus, and the lambda-bar-calculus.
David A. Madore
2023-12-12
1
-0
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+62
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Sketch of proof of cut elimination, and applications thereof.
David A. Madore
2023-12-12
1
-6
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+91
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Better use of mathpartir.
David A. Madore
2023-12-12
1
-88
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+88
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Examples of cut elimination steps.
David A. Madore
2023-12-12
1
-15
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+76
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Start talking about cut elimination.
David A. Madore
2023-12-11
1
-0
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+79
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Equivalence of sequent calculus with natural deduction.
David A. Madore
2023-12-11
1
-0
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+55
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Sequent calculus: better discuss structural rules.
David A. Madore
2023-12-11
1
-0
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+38
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Make the fix less confusing.
David A. Madore
2023-12-11
1
-6
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+3
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Fix a mistake: contraction rule cannot be dispensed with.
David A. Madore
2023-12-09
1
-10
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+7
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(See discussion in example 3.1.3 in Troelstra & Schwichtenberg: the system I presented is essentially their G2i, and the contraction rule is necessary.)
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Fix various mistakes noted during lecture on 2023-12-08.
David A. Madore
2023-12-08
1
-9
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+12
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Thinko.
David A. Madore
2023-12-05
1
-1
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+1
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Various minor changes (upon re-reading).
David A. Madore
2023-12-05
1
-17
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+28
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Examples of sequent calculus proofs.
David A. Madore
2023-12-04
1
-3
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+74
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The rules of sequent calculus.
David A. Madore
2023-12-04
1
-0
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+84
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Functoriality of connectors and of logical formulae.
David A. Madore
2023-12-04
1
-24
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+123
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Positive and negative occurrences.
David A. Madore
2023-12-04
1
-0
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+43
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A start of polymorphism, and substitution for type/prop variables.
David A. Madore
2023-12-04
1
-2
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+35
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Comments on negation and double negation.
David A. Madore
2023-12-04
1
-0
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+40
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Curry-Howard: a recapitulation.
David A. Madore
2023-12-04
1
-4
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+47
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Various minor changes or additions.
David A. Madore
2023-12-04
1
-1
/
+21
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More discussion of the logical connectors.
David A. Madore
2023-12-04
1
-4
/
+53
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Non-uniqueness of proofs.
David A. Madore
2023-12-03
1
-1
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+57
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Various examples of Curry-Howard.
David A. Madore
2023-12-03
1
-1
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+81
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Curry-Howard correspondence for true and false.
David A. Madore
2023-12-03
1
-1
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+32
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An example of Curry-Howard with disjunction.
David A. Madore
2023-12-03
1
-0
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+41
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Remarks on products and sums.
David A. Madore
2023-12-03
1
-2
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+44
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Curry-Howard correspondence for disjunction.
David A. Madore
2023-12-03
1
-0
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+31
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An example of Curry-Howard with implication.
David A. Madore
2023-12-03
1
-0
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+31
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An example of Curry-Howard with conjunction.
David A. Madore
2023-12-03
1
-4
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+74
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Curry-Howard correspondence for implication alone.
David A. Madore
2023-12-03
1
-0
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+44
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Brouwer-Heyting-Kolmogorov interpretation of logical connectives.
David A. Madore
2023-12-03
1
-1
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+28
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A few more important tautologies.
David A. Madore
2023-12-03
1
-1
/
+5
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Various informal explanations of constructive math / intuitionism.
David A. Madore
2023-12-02
1
-0
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+142
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Classical logic.
David A. Madore
2023-12-02
1
-3
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+71
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Proof of negation vs reduction ad absurdum.
David A. Madore
2023-12-02
1
-0
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+54
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Examples of non-tautologies.
David A. Madore
2023-12-02
1
-3
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+37
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Some important tautologies.
David A. Madore
2023-12-02
1
-0
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+58
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Yet another presentation of natural deduction proofs (flag presentation).
David A. Madore
2023-12-02
1
-2
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+38
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Another presentation of natural deduction proofs.
David A. Madore
2023-12-02
1
-2
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+49
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An exercise on a possible representation of pairs in functional programming ↵
David A. Madore
2023-12-01
1
-5
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+146
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languages.
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Another exercise on various "loopy" reductions.
David A. Madore
2023-12-01
1
-1
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+120
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Give two examples of natural deduction proofs (written in sequent style).
David A. Madore
2023-11-30
1
-0
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+41
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Some exercises on the untyped lambda-calculus.
David A. Madore
2023-11-30
1
-0
/
+286
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Minor fixes.
David A. Madore
2023-11-30
1
-3
/
+3
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Much longer explanation of the Y (and also Z) combinator.
David A. Madore
2023-11-28
1
-5
/
+139
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