Much on this page is probably still incomplete. I'll add more descriptions as time permits.
exit/quit - exit the interpreter (currently hardcoded)
EXIT - to be done (as a true BASIC statement)
QUIT - to be done (as a true BASIC statement)
WHY - gives detailed reason for last error (also in WHY$ variable) (useful for debugging interpreter)
PRINT - print a line of text; currently, the tab character is output as an undefined character, because it is not interpreted yet. Can be abbreviated by ?.
LET - (optional before assignment) an assignment expression, i.e. LET A = 5
LABEL - (optional before labels) defines a label, i.e. LABEL alpha
GOTO - goes to a label, i.e. GOTO alpha
GOSUB - goes to a label, remembering return position, i.e. GOSUB alpha
RETURN - returns from a GOSUB call
alpha - a numeric variable name or statement label. Name must begin with a letter or underscore, and may contain letters, digits or underscores afterwards. The variable is considered to be a label if used alone in statement context.
alpha$ - a string variable; string length is limited only by memory.
var(n) - an array (string$ or numeric). No DIM required. Arrays are automatically resized. The maximum array size is 65536 elements (to avoid memory-related crashes due to a program running haywire).
1234.53 - a number. All numbers are floating-point, except in integer context. To convert them to an integer, numbers are truncated (rounded towards zero).
( e ) - sub expressions
+a - unary plus operator (does nothing)
-a - unary minus operator (negation)
NOT a - unary NOT operator (binary inversion of integral number)
a * b - multiplication
a / b - division
a MOD b - division remainder (modulo operation)
a ^ b - power operation
a + b - addition
a$ + b$ - string concatenation
a$ & b$ - string concatenation
a - b - subtraction
a SHL b - integral binary shift left operation
a SHR b - integral binary shift right operation
a = b - equality test
a <> b - inequality test
a <= b - less or equal test
a >= b - greater or equal test
a < b - less than test
a > b - greater than test
a AND b - binary integer AND operation
a OR b - binary integer OR operation
a XOR b - binary integer XOR operation
STR$(n) - converts number to string
DEC$(n) or DEC$(n,m) -- convert number to string (m = number of digits)
HEX$(n) or HEX$(n,m) -- convert number to string (m = number of digits)
OCT$(n) or OCT$(n,m) -- convert number to string (m = number of digits)
BIN$(n) or BIN$(n,m) -- convert number to string (m = number of digits)
VAL(a$) - converts string to number
ASC(a$) - returns ordinal number of first character in string
LEFT$(a$,n) -- returns left-hand sub string of a string (positions are 1-based)
RIGHT$(a$,n) -- returns right-hand sub string of a string (positions are 1-based)
MID$(a$,p,n) or MID$(a$,p) -- returns sub string of a string starting at position p and progressing for at most n characters (if omitted, all that remain)
RND(n) -- return random number in the range 0 to n, exclusively. A good value for n is 1.
WHY$ - last failure reason report
TI$ or TIME$ - a representation of the current time in HH:MM:SS format (24 hour)
DATE$ - a representation of the current date in YYYY-MM-DD format