Consider a proof system P in the style of box-proof which only have one logical connective A.The system only has one rule given by:[X]YYAXHere, X and Y can represent any formula. Tick each that applies.In the proof system P it is possible to derive the formula ((AAC)AB)AAIn the proof system P it is possible to derive AA(AA A)In the proof system P it is possible to derive the formula AAAIn the proof system P it is possible to derive (AAA)^ AIn the proof system P it is not possible to derive (AA B)A(BAA)

Answered: Consider a proof system P in the style…

Consider a proof system P in the style of box-proof which only have one logical connective A. The system only has one rule given by:

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Consider a proof system P in the style of box-proof which only have one logical connective A.
The system only has one rule given by:
[X]
Y
YAX
Here, X and Y can represent any formula. Tick each that applies.
In the proof system P it is possible to derive the formula ((AAC)AB)AA
In the proof system P it is possible to derive AA(AA A)
In the proof system P it is possible to derive the formula AAA
In the proof system P it is possible to derive (AAA)^ A
In the proof system P it is not possible to derive (AA B)A(BAA)

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