From b430b8ab71a7bfe996a8b34b570b4469afd73ca5 Mon Sep 17 00:00:00 2001
From: Chris
Date: Tue, 7 Apr 2015 22:21:44 -0400
Subject: [PATCH] edits
---
topics/_week10_gsv.mdwn | 56 +++++++++++++++++++++++++++++++++++++++++++------
1 file changed, 50 insertions(+), 6 deletions(-)
diff --git a/topics/_week10_gsv.mdwn b/topics/_week10_gsv.mdwn
index 3fd046c9..e971fe93 100644
--- a/topics/_week10_gsv.mdwn
+++ b/topics/_week10_gsv.mdwn
@@ -150,10 +150,54 @@ in terms of negation and the other connectives.
Exercise: assume that there are two entities in the domain of
discourse, Alice and Bob. Assume that Alice is a woman, and Bob is a
-man. Show the following computations:
+man. Show the following computations, where `i = (w,n,r,g)`:
+
+ 1. {i}[âx.person(x)]
+
+ = {(w,n+1,r[x->n],g[n->a]),(w,n+1,r[x->n],g[n->b])}[person(x)]
+ = {(w,n+1,r[x->n],g[n->a]),(w,n+1,r[x->n],g[n->b])}
+
+ 2. {i}[âx.man(x)]
+
+ = {(w,n+1,r[x->n],g[n->a]),(w,n+1,r[x->n],g[n->b])}[person(x)]
+ = {(w,n+1,r[x->n],g[n->b])}
+
+
+ 3. {i}[âxây.person(x) and person(y)]
+
+ = {(w,n+1,r[x->n],g[n->a]),(w,n+1,r[x->n],g[n->b])}[ây.person(x) and person(y)]
+ = {(w, n+2, r[x->n][y->n+1], g[n->a][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->a][n+1->b]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->b])
+ }[person(x) and person(y)]
+ = {(w, n+2, r[x->n][y->n+1], g[n->a][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->a][n+1->b]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->b])
+ }
+
+ 4. {i}[âxây.x=x]
+
+ = {(w, n+2, r[x->n][y->n+1], g[n->a][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->a][n+1->b]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->b])
+ }[âxây.x=x]
+ = {(w, n+2, r[x->n][y->n+1], g[n->a][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->a][n+1->b]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->b])
+ }
+
+ 5. {i}[âxây.x=y]
+
+ = {(w, n+2, r[x->n][y->n+1], g[n->a][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->a][n+1->b]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->b])
+ }[âxây.x=y]
+ = {(w, n+2, r[x->n][y->n+1], g[n->a][n+1->a]),
+ (w, n+2, r[x->n][y->n+1], g[n->b][n+1->b])
+ }
- 1. {}[âx.person(x)]
- 2. {}[âx.man(x)]
- 3. {}[âxây.person(x) and person(y)]
- 4. {}[âxây.x=x]
- 5. {}[âxây.x=y]
--
2.11.0