II. Formalize the following in terms of atomic propositions r. b, and w, first making clear how they correspond to the English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area. (b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path. (c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area. (d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe. (e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area. (f) Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
II. Formalize the following in terms of atomic propositions r. b, and w, first making clear how they correspond to the English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area. (b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path. (c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area. (d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe. (e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area. (f) Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:II. Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text.
(a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
(e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
have been seen in the area.
(f) Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
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