Volume 11 — Collapse Computation Systems
Computing with Golden-Base Trace Machines
This volume establishes the computational theory of φ-constrained systems. Turing equivalence, decidability, and algorithmic complexity take on new forms when computation must respect the fundamental no-11 constraint.
Chapter Index
Chapter 176: TraceMachine
Collapse-Aware Computation Engine Architecture
Fundamental computational model using traces.
Chapter 177: TuringTrace
φ-Compatible Trace-Based Turing Simulation
Proving Turing completeness of trace machines.
Chapter 178: TraceBitLang
Collapse-Aware Programming Primitives from Σφ
Basic programming constructs from φ-alphabet.
Chapter 179: CollapseExecGraph
Trace Dependency Execution Structure
Execution graphs respecting trace dependencies.
Chapter 180: MemoryTrace
Information Storage via Trace Path Locality
Memory structures in trace space.
Chapter 181: PsiSyntax
Grammar Rules for ψ-Language Encoding of Collapse
Syntax for collapse-based programming.
Chapter 182: CollapseDecide
Computability and Reachability via Trace Evolution
Decision problems in trace computation.
Chapter 183: HaltCollapse
Collapse Conditions for Halting Trace Dynamics
Halting problem in φ-constrained systems.
Chapter 184: TracePatternMatch
Symbolic Collapse Matching for Programmatic φ-Tensors
Pattern matching algorithms for traces.
Chapter 185: PsiCompiler
Collapse-Aware Compiler for Trace Language Programs
Compilation strategies for ψ-programs.
Chapter 186: CollapseComplexity
Structural Cost of Collapse Programs
Complexity theory for trace computation.
Chapter 187: TraceDAG
Directed Collapse Graphs for Structural Logic Flow
DAG representations of computation.
Chapter 188: PhiBitMachine
Hardware Model of Collapse-Trace Bit-Level Machines
Physical implementation models.
Chapter 189: AGIRewrite
Rewriting Systems for Self-Reflective Structure Learning
Self-modifying trace programs.
Chapter 190: HypergraphCompute
Collapse-Aware Tensor Hypergraph Computation
Hypergraph models of computation.
Chapter 191: PsiOS
Operating System Interface on Collapse Tensor Architectures
OS design for trace machines.
Key Concepts Introduced
- Trace Machines: Computational model
- Turing Equivalence: Universal computation
- ψ-Language: Programming language
- Complexity Theory: Trace-based complexity
- Pattern Matching: Algorithmic techniques
- Self-Modification: AGI foundations
Dependencies
- Volume 0: Language foundations
- Volume 6: Computability theory
- Volume 8: Information theory
Next Steps
- Volume 12: ψ-language specification
- Volume 19: Compiler implementation
- Volume 21: AGI applications
"Computation flows where golden traces lead."