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The types of algorithmic execution systems are best characterized by logical participation strategies, opportunistic methods, and specialized algorithms.

Logical participation strategies typically aim to execute an order strategically over time, using a systematic approach to minimize market impact and optimize the fill price. These strategies usually involve breaking up large orders into smaller parts to be executed at various times or prices.

Opportunistic execution strategies are designed to capitalize on changing market conditions. They dynamically adjust to new information and market trends to optimize the execution of trades, thereby taking advantage of transient opportunities.

Specialized algorithms refer to those created for specific trading scenarios or asset classes. They are tailored to meet the distinct needs of different trading situations, ensuring optimal execution based on various factors such as liquidity and volatility.

The other options, while they may include terms associated with trading strategies, do not accurately categorize algo execution systems as they are understood in the context of algorithmic trading.