Certainly! Let's illustrate combinator parsing with some simple examples using pseudo-code. We'll assume a basic understanding of programming concepts and notation.

Example 1: Parsing Integers

Let's say we want to parse integers from an input string. We can define a combinator `digit` that matches a single digit character, and another combinator `integer` that matches a sequence of one or more digits.

```pseudo-code
# Combinator for matching a single digit
function digit(input):
    if input is empty:
        return FAILURE
    if input[0] is a digit:
        return (input[0], input[1:])
    else:
        return FAILURE

# Combinator for matching an integer
function integer(input):
    result = []
    while true:
        (digit_value, remaining_input) = digit(input)
        if digit_value is not FAILURE:
            result.append(digit_value)
            input = remaining_input
        else:
            break
    if not result:
        return FAILURE
    else:
        return (convert_to_integer(result), remaining_input)
```

Example 2: Parsing Arithmetic Expressions

Now, let's build a more complex combinator for parsing simple arithmetic expressions with addition and multiplication.

```pseudo-code
# Combinator for matching a number (similar to the integer combinator from Example 1)
function number(input):
    # ... (implementation similar to integer combinator)

# Combinator for matching an addition operation
function addition(input):
    left = number(input)
    if left is FAILURE or left[1] does not start with '+':
        return FAILURE
    right = expression(left[1][1:])
    if right is FAILURE:
        return FAILURE
    return ('+', left[0], right[0], right[1])

# Combinator for matching a multiplication operation
function multiplication(input):
    left = number(input)
    if left is FAILURE or left[1] does not start with '*':
        return FAILURE
    right = expression(left[1][1:])
    if right is FAILURE:
        return FAILURE
    return ('*', left[0], right[0], right[1])

# Combinator for matching an arithmetic expression
function expression(input):
    result = addition(input)
    if result is not FAILURE:
        return result
    result = multiplication(input)
    if result is not FAILURE:
        return result
    return number(input)
```

In these examples, we have created basic combinators (`digit` and `number`) and combined them to build more complex combinators (`integer`, `addition`, `multiplication`, and `expression`). The `expression` combinator can handle simple arithmetic expressions like "3+5" and "2*4+7" by recursively combining addition and multiplication operations.

These examples demonstrate how combinator parsing allows us to build parsers in a modular and flexible way, combining small building blocks to handle more complex input patterns and grammars. In real-world implementations, the combinators would be written in a programming language, and additional error handling and other features would be added for robustness and usability.
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