Recoverability Sciences — Unified Logic, Computation, and Inferential Systems 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, and machine-operational reasoning 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, 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 framework further establishes: inferential continuity, dependency-topological inferential propagation, recursive admissibility reasoning, continuity-preserving computation, operational reasoning stabilization, and recoverability-preserving decision systems as foundational inferential structures operating beneath continuity science, substrate sciences, and civilization continuity architectures. This publication formalizes the inferential and computational layer governing recoverability-preserving reasoning, admissibility calculus, recursive inference systems, dependency-topological inferential propagation, and continuity-preserving operational computation within the Recoverability Sciences ecosystem and the broader Recoverability-Constrained Systems corpus.