• The KIPS Transactions:PartA
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• v.19A no.1
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• pp.69-72
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• 2012

Logic programming based on classical or linear logic has traditionally lacked devices for expressing sequential tasks and sequential iterative tasks. Expressing sequential goal tasks has been addressed by a recent proposal of sequential goals of the form $G_1{\cap}G_2$ which is based on the game semantics of Japaridze. This paper proposes sequential iterative goal formulas of the form ${\cap}_x^LG$ where $G$ is a goal, $x$ is a variable, and $L$ is a list. ${\cap}_x^L$ is called a sequential bounded quantier. These goals allow us to specify the following task: sequentially iterate $G$ with $x$ ranging over all the elements of $L$.