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Predikaatlogica: Semantische Tableaus

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Class notes on Predikaatlogica: Semantische Tableaus

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  • April 23, 2023
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  • 2022/2023
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Predikaatlogica: Semantische Tableaus
Type HOC

Class Logica en formele systemen

Les 9

Zoeken van een tegenvoorbeeld voor φ1 , ..., φn ∘ψ
Er bestaat een model en een bedeling die φ1 , ..., φn waar maakt en ψ onwaar



Welke regels en technieken komen er bij in de predikaatlogica?

Bijkomende reductieregels voor de kwantoren ∃ en ∀

Construeren van een domein D

Bijhouden van de interpretatiefunctie I en de bedeling b

De reductieregels voor de connectieven blijven hetzelfde




Formules worden genoteerd in prefix notatie

Reductieregels voor kwantoren ∃ en ∀

1) ∃L , ∀R D = {...} → D = {..., d}
2) ∃R , ∀L D = {...}




Voor geldige gevolgtrekking:

Universele formules moeten waar zijn voor elk element in het domein, dus ook voor d1

Minstens 1 element in het domein die de bewering onwaar maakt


Reductieregel voor ∀




Predikaatlogica: Semantische Tableaus 1

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