Consider the following context-free grammar, partially augmented with semantic rules: {NP.sem(VP.sem)} → Det Nominal {Det.sem(Nominal.sem)} Nominal → Adj Nominal {Adj.sem(Nominal.sem)} { ...} { ...} { ….} { ...} { ...} S + NP VP NP Det → every Det → a + small Nominal → dog + barks Adj VP Now consider the following two sentences, with their desired meaning represen- tations: A1 every dog barks A2 Vd Dog(d) → 3e Barking(e) ^ Barker(e, d) B1 a small dog barks B2 3d Dog (d) ^ Small(d) A 3e Barking(e) A Barker(e, d) Complete the above augmented grammar, by giving the semantics of 'every', 'a', 'small', 'dog', and 'barks', so that the desired meaning representations are obtained for A1 and B1. Show that your solution is correct, by first giving the lambda expressions obtained from A1 and B1 before any beta reductions, and then showing step-by-step that the beta reductions lead to A2 and B2.
Consider the following context-free grammar, partially augmented with semantic rules: {NP.sem(VP.sem)} → Det Nominal {Det.sem(Nominal.sem)} Nominal → Adj Nominal {Adj.sem(Nominal.sem)} { ...} { ...} { ….} { ...} { ...} S + NP VP NP Det → every Det → a + small Nominal → dog + barks Adj VP Now consider the following two sentences, with their desired meaning represen- tations: A1 every dog barks A2 Vd Dog(d) → 3e Barking(e) ^ Barker(e, d) B1 a small dog barks B2 3d Dog (d) ^ Small(d) A 3e Barking(e) A Barker(e, d) Complete the above augmented grammar, by giving the semantics of 'every', 'a', 'small', 'dog', and 'barks', so that the desired meaning representations are obtained for A1 and B1. Show that your solution is correct, by first giving the lambda expressions obtained from A1 and B1 before any beta reductions, and then showing step-by-step that the beta reductions lead to A2 and B2.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Consider the following context-free grammar, partially augmented with semantic
rules:
{NP.sem(VP.sem)}
+ Det Nominal {Det.sem(Nominal.sem)}
Nominal → Adj Nominal {Adj.sem(Nominal.sem)}
{ ...}
{
{.…..}
...}
{ …..}
S
→ NP VP
NP
Det
→ every
Det
+ a
..
→ small
Nominal → dog
→ barks
Adj
VP
Now consider the following two sentences, with their desired meaning represen-
tations:
A1 every dog barks
A2 Vd Dog (d) = Je Barking(e) A Barker(e,d)
B1 a small dog barks
B2 3d Dog (d) A Small(d) A 3e Barking(e) A Barker(e, d)
Complete the above augmented grammar, by giving the semantics of 'every',
'a', 'small', 'dog', and 'barks', so that the desired meaning representations are
obtained for A1 and B1. Show that your solution is correct, by first giving
the lambda expressions obtained from A1 and B1 before any beta reductions,
and then showing step-by-step that the beta reductions lead to A2 and B2.
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