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Paper: "Vertyanov Successor Programmer — Full Implementation and Analysis"

Abstract

This paper presents the design, formal specification, and full implementation of the "Vertyanov Successor Programmer" — an algorithmic framework that generates successor states for deterministic and nondeterministic computational models. We define the problem scope, provide correctness proofs, complexity analysis, variations for different state encodings, and a complete reference implementation in Python with tests and performance benchmarks. Applications include state-space search, model checking, planning, and transition-system simulation.

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