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Decidability of reachability in vector addition systems (Preliminary Version)

S. Rao Kosaraju

Open publisher page 323 citations

Abstract

A convincing proof of the decidability of reachability in vector addition systems is presented. No drastically new ideas beyond those in Sacerdote and Tenney, and Mayr are made use of. The complicated tree constructions in the earlier proofs are completely eliminated.

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What this paper is about

A convincing proof of the decidability of reachability in vector addition systems is presented. No drastically new ideas beyond those in Sacerdote and Tenney, and Mayr are made use of. The complicated tree constructions in the earlier proofs are completely eliminated.

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OpenAlex reports 323 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A convincing proof of the decidability of reachability in vector addition systems is presented. No drastically new ideas beyond those in Sacerdote and Tenney, and Mayr are made use of. The complicated tree constructions in the earlier proofs are completely eliminated.

Key concepts: Reachability, Decidability, Mathematical proof, Tree (set theory), Computer science, Reachability problem, Mathematics, Algebra over a field

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