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transp-inf110-02-typage.tex
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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
/
+35
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*
Comments on negation and double negation.
David A. Madore
2023-12-04
1
-0
/
+40
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*
Curry-Howard: a recapitulation.
David A. Madore
2023-12-04
1
-4
/
+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
/
+57
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*
Various examples of Curry-Howard.
David A. Madore
2023-12-03
1
-1
/
+81
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*
Curry-Howard correspondence for true and false.
David A. Madore
2023-12-03
1
-1
/
+32
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*
An example of Curry-Howard with disjunction.
David A. Madore
2023-12-03
1
-0
/
+41
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*
Remarks on products and sums.
David A. Madore
2023-12-03
1
-2
/
+44
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*
Curry-Howard correspondence for disjunction.
David A. Madore
2023-12-03
1
-0
/
+31
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*
An example of Curry-Howard with implication.
David A. Madore
2023-12-03
1
-0
/
+31
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*
An example of Curry-Howard with conjunction.
David A. Madore
2023-12-03
1
-4
/
+74
|
*
Curry-Howard correspondence for implication alone.
David A. Madore
2023-12-03
1
-0
/
+44
|
*
Brouwer-Heyting-Kolmogorov interpretation of logical connectives.
David A. Madore
2023-12-03
1
-1
/
+28
|
*
A few more important tautologies.
David A. Madore
2023-12-03
1
-1
/
+5
|
*
Various informal explanations of constructive math / intuitionism.
David A. Madore
2023-12-02
1
-0
/
+142
|
*
Classical logic.
David A. Madore
2023-12-02
1
-3
/
+71
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*
Proof of negation vs reduction ad absurdum.
David A. Madore
2023-12-02
1
-0
/
+54
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*
Examples of non-tautologies.
David A. Madore
2023-12-02
1
-3
/
+37
|
*
Some important tautologies.
David A. Madore
2023-12-02
1
-0
/
+58
|
*
Yet another presentation of natural deduction proofs (flag presentation).
David A. Madore
2023-12-02
1
-2
/
+38
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*
Another presentation of natural deduction proofs.
David A. Madore
2023-12-02
1
-2
/
+49
|
*
Give two examples of natural deduction proofs (written in sequent style).
David A. Madore
2023-11-30
1
-0
/
+41
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*
Minor fixes.
David A. Madore
2023-11-30
1
-3
/
+3
|
*
Highlight discharged hypotheses in natural deduction presentation.
David A. Madore
2023-11-28
1
-3
/
+7
|
*
Alternative notation for multiple lambdas.
David A. Madore
2023-11-28
1
-2
/
+3
|
*
Avoid speaking of type "constructors", a word which might cause confusion.
David A. Madore
2023-11-28
1
-4
/
+4
|
*
Rules of inuitionistic propositional calculus in natural deduction style.
David A. Madore
2023-11-27
1
-0
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+39
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*
Syntax of propositional calculus.
David A. Madore
2023-11-27
1
-2
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+39
|
*
Quick overview of intuitionistic propositional calculus.
David A. Madore
2023-11-27
1
-0
/
+38
|
*
A (humorous) graphical representation of the Curry-Howard correspondence.
David A. Madore
2023-11-24
1
-4
/
+27
|
*
Graphical representation of typing rules.
David A. Madore
2023-11-22
1
-8
/
+35
|
*
Brief summary of Tait's proof of normalization of the STLC.
David A. Madore
2023-11-22
1
-5
/
+42
|
*
Clarification on how to read a derivation tree.
David A. Madore
2023-11-22
1
-0
/
+8
|
*
Give some examples of terms and types in the STLC before formalizing.
David A. Madore
2023-11-22
1
-4
/
+44
|
*
A first taste of the Curry-Howard correspondence.
David A. Madore
2023-11-22
1
-1
/
+34
|
*
Beta-reduction and strong normalization (to be continued).
David A. Madore
2023-11-16
1
-0
/
+41
|
*
More properties of typing, incl. the substitution lemma.
David A. Madore
2023-11-16
1
-6
/
+97
|
*
Some properties of derivation in simply-typed lambda-calculus.
David A. Madore
2023-11-16
1
-0
/
+111
|
*
Give an example of a fully written out derivation tree.
David A. Madore
2023-11-15
1
-0
/
+39
|
*
Rules of the simply-typed lambda-calculus.
David A. Madore
2023-11-15
1
-3
/
+122
|
*
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
|
*
Curry's paradox (an interlude).
David A. Madore
2023-11-15
1
-0
/
+88
|
*
Typing and termination.
David A. Madore
2023-11-15
1
-0
/
+41
|
*
Tasks in a typing system.
David A. Madore
2023-11-15
1
-1
/
+45
|
*
More examples of languages with interesting type systems.
David A. Madore
2023-11-15
1
-4
/
+47
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