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INF110 (logique et fondements de l'informatique)
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An example of Curry-Howard with implication.
David A. Madore
2023-12-03
1
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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
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+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
/
+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
/
+49
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*
An exercise on a possible representation of pairs in functional programming ↵
David A. Madore
2023-12-01
1
-5
/
+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
/
+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
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+139
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*
Highlight discharged hypotheses in natural deduction presentation.
David A. Madore
2023-11-28
1
-3
/
+7
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*
Fix various small mistakes or unclear points.
David A. Madore
2023-11-28
1
-9
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+8
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*
Alternative notation for multiple lambdas.
David A. Madore
2023-11-28
1
-2
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+3
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*
Avoid speaking of type "constructors", a word which might cause confusion.
David A. Madore
2023-11-28
1
-4
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+4
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Typo.
David A. Madore
2023-11-28
1
-1
/
+1
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*
Rules of inuitionistic propositional calculus in natural deduction style.
David A. Madore
2023-11-27
1
-0
/
+39
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*
Syntax of propositional calculus.
David A. Madore
2023-11-27
1
-2
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+39
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*
Quick overview of intuitionistic propositional calculus.
David A. Madore
2023-11-27
1
-0
/
+38
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*
A (humorous) graphical representation of the Curry-Howard correspondence.
David A. Madore
2023-11-24
3
-4
/
+27
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Graphical representation of typing rules.
David A. Madore
2023-11-22
1
-8
/
+35
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*
Brief summary of Tait's proof of normalization of the STLC.
David A. Madore
2023-11-22
1
-5
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+42
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*
Clarification on how to read a derivation tree.
David A. Madore
2023-11-22
1
-0
/
+8
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*
Give some examples of terms and types in the STLC before formalizing.
David A. Madore
2023-11-22
1
-4
/
+44
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*
A first taste of the Curry-Howard correspondence.
David A. Madore
2023-11-22
1
-1
/
+34
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*
A few clarifications on stability of decidable and semidecidable sets.
David A. Madore
2023-11-22
1
-3
/
+7
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*
Exercise on computable inseparability.
David A. Madore
2023-11-21
1
-0
/
+129
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(Taken from INF105 test from 2018-02-06, slightly rewritten.)
*
Prepare exercise sheet for publication.
David A. Madore
2023-11-21
1
-19
/
+23
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*
Exercise on looping Turing machines.
David A. Madore
2023-11-21
1
-0
/
+71
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*
Exercise showing that the indices of total functions is not semi-decidable ↵
David A. Madore
2023-11-21
1
-0
/
+140
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nor co-semi-decidable.
*
Fix various mistakes (or notational blunders) noted during lecture on ↵
David A. Madore
2023-11-20
1
-5
/
+5
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2023-11-20.
*
The graph of the Ackermann function is p.r.
David A. Madore
2023-11-20
1
-0
/
+235
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*
More exercises on computability.
David A. Madore
2023-11-19
1
-13
/
+250
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*
Some exercises on computability.
David A. Madore
2023-11-17
1
-0
/
+350
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*
Fix various mistakes (or notational blunders) noted during lecture on ↵
David A. Madore
2023-11-17
1
-21
/
+24
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2023-11-17.
*
Beta-reduction and strong normalization (to be continued).
David A. Madore
2023-11-16
1
-0
/
+41
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*
More properties of typing, incl. the substitution lemma.
David A. Madore
2023-11-16
1
-6
/
+97
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*
Some properties of derivation in simply-typed lambda-calculus.
David A. Madore
2023-11-16
1
-0
/
+111
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*
Give an example of a fully written out derivation tree.
David A. Madore
2023-11-15
1
-0
/
+39
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*
Rules of the simply-typed lambda-calculus.
David A. Madore
2023-11-15
1
-3
/
+122
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*
Various curiosities.
David A. Madore
2023-11-15
1
-3
/
+32
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(Thanks to Thierry Martinez for most of these suggestions.)
*
Type systems for logic.
David A. Madore
2023-11-15
1
-1
/
+67
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*
Curry's paradox (an interlude).
David A. Madore
2023-11-15
1
-0
/
+88
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