"... In PAGE 2: ... This presentation will be interleaved with frequent brief discussions in which participants apply what they have just heard to the central design problem (MYIUI) that runs through the tutorial. Schedule Table1 shows the schedule of activities. Requirements In addition to the usual data projector, internet access is highly desirable.... ..."

"... In PAGE 5: ... However, in general in this document the operative history is left implicit. The arity table of a history is the initial arity table ( Table3 , page 18) extended by an entry specifying the arity (number of arguments) of each function symbol introduced by each event in the history. Our discussion of each event makes clear the function symbols and arities introduced.... In PAGE 18: ...Table 3: The ACL2 Primitive Function Symbols of each primitive function symbol is given in Table3 , along with a brief descrip- tive comment. Certain of our axioms, namely those labeled \(Def), quot; introduce additional function symbols with equations that relate the new symbols to old ones.... In PAGE 18: ... Certain of our axioms, namely those labeled \(Def), quot; introduce additional function symbols with equations that relate the new symbols to old ones. Table3 should be understood to be extended by appropriate entries for these \de ned quot; symbols. Terminology.... ..."

"... In PAGE 44: ... It is possible to construct a sequence of s-expressions in 1:1 correspondence with the ordinals up to 0. In Table4 we list some of the ordinals up to 0; the reader can ll in the gaps at his or her leisure. (!) We show in the left column the conventional notation and in the right column the corresponding s-expression.... In PAGE 44: ... (!) We show in the left column the conventional notation and in the right column the corresponding s-expression.Each of the s-expressions in the right-hand column of Table4 , when quoted, represents a constant in ACL2 and in that sense the logic contains a repre- sentation of each ordinal up to 0. The function E0-ORDINALP, de ned below, recognizes these ordinals.... In PAGE 46: ... Axiom 89 (Def). (E0-ORD- lt; X Y) = (IF (CONSP X) (IF (CONSP Y) (IF (E0-ORD- lt; (CAR X) (CAR Y)) T (IF (EQUAL (CAR X) (CAR Y)) (E0-ORD- lt; (CDR X) (CDR Y)) NIL)) NIL) (IF (CONSP Y) T ( lt; (IF (RATIONALP X) X 0) (IF (RATIONALP Y) Y 0)))) The ordinals in Table4 are listed in ascending order. This ordering is rec- ognized by the function E0-ORD- lt;, de ned above.... ..."

"... In PAGE 44: ... It is possible to construct a sequence of s-expressions in 1:1 correspondence with the ordinals up to 0. In Table4 we list some of the ordinals up to 0; the reader can ll in the gaps at his or her leisure. (!) We show in the left column the conventional notation and in the right column the corresponding s-expression.... In PAGE 44: ... (!) We show in the left column the conventional notation and in the right column the corresponding s-expression.Each of the s-expressions in the right-hand column of Table4 , when quoted, represents a constant in ACL2 and in that sense the logic contains a repre- sentation of each ordinal up to 0. The function E0-ORDINALP, de ned below, recognizes these ordinals.... In PAGE 46: ... Axiom 89 (Def). (E0-ORD- lt; X Y) = (IF (CONSP X) (IF (CONSP Y) (IF (E0-ORD- lt; (CAR X) (CAR Y)) T (IF (EQUAL (CAR X) (CAR Y)) (E0-ORD- lt; (CDR X) (CDR Y)) NIL)) NIL) (IF (CONSP Y) T ( lt; (IF (RATIONALP X) X 0) (IF (RATIONALP Y) Y 0)))) The ordinals in Table4 are listed in ascending order. This ordering is rec- ognized by the function E0-ORD- lt;, de ned above.... ..."

"... In PAGE 9: ... As indicated by our examples, some characters, like #\Space, have names that are di erent from the glyph. In addition to the code for each char- acter, Table1 gives several other characteristics which are explained when we discuss symbols. Thus, for example, #\A is the character object whose code is 65, #\a is the character with code 97, and #\Newline is the character with code 10.... In PAGE 26: ... apos;char =)(CODE-CHAR apos;code), when char is a character object with character code code. (See Table1 .) Such terms are the character constants.... ..."

"... In PAGE 9: ... As indicated by our examples, some characters, like #\Space, have names that are di erent from the glyph. In addition to the code for each char- acter, Table1 gives several other characteristics which are explained when we discuss symbols. Thus, for example, #\A is the character object whose code is 65, #\a is the character with code 97, and #\Newline is the character with code 10.... In PAGE 26: ... apos;char =)(CODE-CHAR apos;code), when char is a character object with character code code. (See Table1 .) Such terms are the character constants.... ..."

"... In PAGE 5: ... However, in general in this document the operative history is left implicit. The arity table of a history is the initial arity table ( Table3 , page 18) extended by an entry specifying the arity (number of arguments) of each function symbol introduced by each event in the history. Our discussion of each event makes clear the function symbols and arities introduced.... In PAGE 17: ... The arity indicates how many argument terms must follow each application of the function symbol. The arity of each primitive function symbol is given in Table3 , along with a brief descrip- tive comment. Certain of our axioms, namely those labeled \(Def), quot; introduce additional function symbols with equations that relate the new symbols to old ones.... In PAGE 17: ... Certain of our axioms, namely those labeled \(Def), quot; introduce additional function symbols with equations that relate the new symbols to old ones. Table3 should be understood to be extended by appropriate entries for these \de ned quot; symbols. Terminology.... ..."