cECT Extended Engine with Constructor Theory Task Algebra Kernel

This software package presents version 1.0.0 of the cECT Extended Engine with Constructor Theory Task Algebra Kernel.

The package extends the foundational paper-derived cECT operational engine with a symbolic task-algebra layer inspired by the constructor-theoretic language of tasks, possibility, impossibility, composition, clonability, and distinguishability. The original cECT engine implements the operational quadruple (Q, M, \omega, KP): a revisable conjecture/world model, an action tendency with inertia, a dynamic regulatory gain, and Knowledge Potential. It also includes mediated perception/action, task admissibility by precondition and postcondition, repertoire expansion, and axiom-audit support for CT-1, CT-2, CT-3, and ECT-E.

The new Task Algebra Kernel adds explicit symbolic support for formal tasks (A = {x \rightarrow y}), transposition (\widetilde{A}), serial composition (AB), parallel composition (A \otimes B), task union (A \cup B), possibility ledgers (A^\checkmark, A^\times, A^?), auditable judgements, contradiction detection, inference rules for serial and parallel composition, cloning tasks (C_X), distinguishability tasks (D_X), and symbolic superinformation-pattern audits.

The central conceptual distinction enforced by the package is that symbolic constructor-theoretic possibility is not identical to operational cECT admission. A task may be symbolically possible but still not admitted by a particular cECT constructor if operational coherence, Knowledge Potential, or boundary stability is insufficient. Conversely, a task that is operationally satisfied can be rejected if its symbolic status is impossible or unknown.

This release is intended as a reproducible software companion to the theoretical development of cECT as a symbolic-operational architecture. It does not claim to decide the full physics of the universe. Instead, it provides an auditable framework in which possibility and impossibility judgements can be recorded, composed, tested, and later extended by explicit physical-law profiles.