RSLCI-001 formalizes the inferential and computational architecture governing: recoverability-preserving logic, admissibility reasoning, recursive inference systems, operational decision architectures, irreversibility-bounded computation, continuity-preserving evaluation, dependency-topological inferential propagation, machine-operational reasoning, inferential continuity, operational interpretability, recursive admissibility inference, continuity-preserving deduction, operational semantics, and recoverability-preserving computational governance across the Recoverability Sciences ecosystem and the broader Recoverability-Constrained Systems corpus. The publication establishes: inferential primitives, operational logic systems, admissibility calculus, recursive reasoning structures, recoverability-preserving computation, decision-governance systems, uncertainty-aware inferential systems, continuity-preserving evaluation architectures, recursive admissibility inference, operational state reasoning structures, machine-operational logic systems, irreversibility-bounded computational conditions, operational reasoning stabilization, inferential continuity science, dependency-sensitive inferential stabilization, and continuity-preserving operational deduction as recursively interoperable inferential structures governing continuity-preserving operational reasoning across continuity-bearing systems. The publication functions as: the inferential and computational layer beneath continuity science, the logical substrate above recursively closed continuity mathematics, and the continuity-preserving reasoning architecture operating within the Recoverability-Constrained Systems framework. Inferential continuity derives from: TCB-001 - Terminal Conceptual Boundary, CO-001 - Continuity Ontology, CM-001 - Continuity Mathematics, and operates mathematically through recursively closed continuity mathematics governing recoverability-preserving inferential propagation across dependency-constrained systems. The foundational invariant of the publication is: Operational reasoning remains admissible only while inferential continuity and recoverability-preserving evaluation remain executable under real conditions. The framework further establishes: recoverability logic, continuity-preserving computation, recursive inference systems, admissibility calculus, dependency-topological inferential propagation, continuity-preserving deduction, irreversibility-bounded operational reasoning, inferential continuity science, inferential collapse science, inferential restoration science, operational reasoning stabilization, and continuity-preserving operational reasoning as recursively unified inferential continuity structures operating within continuity-preserving systems. RSLCI-001 formalizes the inferential and computational governance layer within the Recoverability Sciences ecosystem and the broader Recoverability-Constrained Systems corpus. The framework establishes recoverability logic, admissibility calculus, continuity-preserving computation, recursive inference systems, dependency-topological inferential propagation, operational interpretability, recursive admissibility reasoning, and continuity-preserving operational deduction as recursively interoperable inferential structures governing admissible operational reasoning under irreversibility constraints.