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A System-Theoretic Approach to Planning and Programming

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TLDR
It is shown that a solution to the multiple planning problem can be written in procedural (imperative) languages like Pascal and it is proven that a multiple plan can be generated by a conditional-iterative action.
Abstract
This paper deals with a multiple planning problem, which is a collection of planning problems defined for the same partial transition system and have the same set of goal states. It is shown that a solution to the multiple planning problem can be written in procedural (imperative) languages like Pascal. The formal definition of the syntax and semantics of conditional-iterative actions is provided. It is proven that a multiple plan can be generated by a conditional-iterative action. A language of formal representation of partial transition systems with a vector-state space is proposed.

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A New Logical Framework for deductive Planning.

TL;DR: A logical framework for defining consistent axiomatizations of planning domains and a tactical theorem prover, the Karlsruhe Interactive Verifier KIV is used to implement this logical framework.
References
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