Check for presence of a sliced list in Python

If you are sure that your inputs will only contain the single digits 0 and 1 then you can convert to strings:

def sublistExists(list1, list2):
    return ''.join(map(str, list2)) in ''.join(map(str, list1))

This creates two strings so it is not the most efficient solution but since it takes advantage of the optimized string searching algorithm in Python it's probably good enough for most purposes.

If efficiency is very important you can look at the Boyer-Moore string searching algorithm, adapted to work on lists.

A naive search has O(n*m) worst case but can be suitable if you cannot use the converting to string trick and you don't need to worry about performance.

No function that I know of

def sublistExists(list, sublist):
    for i in range(len(list)-len(sublist)+1):
        if sublist == list[i:i+len(sublist)]:
            return True #return position (i) if you wish
    return False #or -1

As Mark noted, this is not the most efficient search (it's O(n*m)). This problem can be approached in much the same way as string searching.

Let's get a bit functional, shall we? :)

def contains_sublist(lst, sublst):
    n = len(sublst)
    return any((sublst == lst[i:i+n]) for i in xrange(len(lst)-n+1))

Note that any() will stop on first match of sublst within lst - or fail if there is no match, after O(m*n) ops