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| The '''fluent calculus''' is a formalism for expressing dynamical domains in [[first-order logic]]. It is a variant of the [[situation calculus]]; the main difference is that situations are considered representations of states. A binary function symbol <math>\circ</math> is used to concatenate the terms that represent facts that hold in a situation. For example, that the box is on the table in the situation <math>s</math> is represented by the formula <math>\exists t . s = on(box,table) \circ t</math>. The [[frame problem]] is solved by asserting that the situation after the execution of an action is identical to the one before but for the conditions changed by the action. For example, the action of moving the box from the table to the floor is formalized as:
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| : <math>State(Do(move(box,table,floor), s)) \circ on(box,table) = State(s) \circ on(box,floor)</math>
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| This formula states that the state after the move is added the term <math>on(box,floor)</math> and removed the term <math>on(box,table)</math>. Axioms specifying that <math>\circ</math> is commutative and non-idempotent are necessary for such axioms to work.
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| ==See also==
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| * [[Frame problem]]
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| * [[Situation calculus]]
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| * [[Event calculus]]
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| ==References==
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| * M. Thielscher (1998). [http://www.ep.liu.se/ej/etai/1998/006 Introduction to the fluent calculus]. ''[[Electronic Transactions on Artificial Intelligence]]'', 2(3–4):179–192.
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| * M. Thielscher (2005). Reasoning Robots - The Art and Science of Programming Robotic Agents. ''Volume 33 of Applied Logic Series.'' Springer, Dordrecht.
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| {{logic-stub}}
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| [[Category:Logical calculi]]
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Latest revision as of 04:20, 9 December 2014
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