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Alexxx [7]
4 years ago
15

A. Translate the argument provided in this prompt into formal logic and then use the truth-tree decision procedure (relying on P

roof Tools or pencil/pen and paper) to determine whether the argument is deductively valid or invalid (entailment / non-entailment).
b. If the argument is invalid (a case of non-entailment), determine an assignment of truth values (interpretation) to the propositional letters that would show the argument to be invalid (non-entailment).

Social Studies
1 answer:
IgorLugansk [536]4 years ago
7 0

Answer:

Follows are the solution to the given question:

Explanation:

Please find the correct question in the attached file.

\\ \text{ Premise 1:} \exists y Lby \\ \text{ Premise 2: }\exists x Lxb \\ \text{ Conclusion: } Lbb

2.

Build a real tree with the premises and reject the end.

(\exists y)Lby    \ \ \ \ \ \ \ Premise 1 \\\\(\exists x)Lxb  \ \ \ \ \ \ \  Premise 2 \\\\ \sim Lbb \ \ \ \ \ \ \  \ \ \ Conclusion \ \ rejection\\\\  Lba      \ \ \ \ \ \ \    \ \ \ \ \ \ \ \  1 \exists D \\\\  Lcb       \ \ \ \ \ \ \  \ \ \ \ \ \ \ 2 \exists D\\\

The statement is INVALID because the tree is not shut down (because a branch is open)

3.

From the given model:

Domain={a,b,c}\\Ext(L)={ (b,a), (c,b)}

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