Engineering Reference Guide

Computing Paradigms for Modern Systems Engineering

Understanding Deterministic and Probabilistic Computing in Regulated Environments

Modern systems no longer fit into a single computing model. Engineering, governance, testing, and evidence expectations must be aligned to the underlying computational behavior of the system—not forced into a one-size-fits-all SDLC. This guide provides the conceptual framework technical leaders need to architect, validate, and govern systems that span deterministic and probabilistic paradigms.

Why Paradigm Alignment Matters

Traditional software development lifecycle (SDLC) practices assume deterministic behavior: given the same inputs, the system produces the same outputs. Requirements are fixed, tests have expected results, and validation is a point-in-time activity. This model has served well for decades.

The rise of generative AI and probabilistic systems fundamentally changes this assumption. These systems exhibit inherent variability—the same input can produce different valid outputs. This is not a defect; it is a property of the system. When organizations apply deterministic SDLC practices to probabilistic systems, they create dangerous gaps.

What Goes Wrong

  • "Compliant but unsafe" outcomes where documentation meets forms but systems behave unexpectedly
  • Compliance theater where testing passes but operational behavior diverges
  • Accountability gaps when incidents occur with no clear responsible party
  • Operational surprises in production that validation never anticipated

Paradigm-Aware Engineering

  • Explicit paradigm declaration for each system component
  • Appropriate testing strategies matched to computational behavior
  • Clear accountability chains that account for system characteristics
  • Evidence packages that match regulatory and operational needs

Key Principle: If your SDLC documentation doesn't explicitly state which paradigm governs each component, your compliance program likely has gaps that regulators—and more importantly, safety incidents—will eventually expose.

Paradigm Comparison Matrix

A side-by-side reference for understanding how assumptions, practices, and expectations differ across the four computing paradigms.

Dimension
Deterministic
Probabilistic
Probability-Infused
Deterministically-Infused
Correctness Model Binary pass/fail Distribution-based Human-validated Constrained probable
Testing Approach Assertions & regression Statistical evaluation Hybrid + workflow Boundary & constraint
Evidence Type Test results & coverage Operational metrics Decision audit trails Compliance metrics
Accountability Developer/vendor Complex/unclear Licensed professional System + governance
Primary Failure Mode Bug/defect Drift/hallucination Automation bias Constraint escape
Governance Model Change control Continuous monitoring Professional oversight Technical guardrails

Deterministic-First Computing

Traditional and legacy systems with predictable behavior

Definition and Scope

Deterministic-first computing encompasses traditional software, legacy systems, and new systems that are not based on generative AI. This includes some machine learning systems when their behavior is deterministic, reproducible, and classically testable—for example, fixed-weight models where identical inputs always produce identical outputs.

The defining characteristic is predictable reproducibility: given the same inputs, state, and configuration, the system will produce the same outputs every time.

Core Assumptions

Repeatability

Same inputs produce same outputs across executions, environments, and time.

Predictability

System behavior can be fully specified, documented, and verified before deployment.

Strong Correctness

Outputs are either correct or incorrect. There is no "probably correct" state.

Stable Contracts

Input/output interfaces are well-defined and stable across versions.

Design and Architecture Implications

  • Fixed algorithms with versioned, deterministic implementations
  • Deterministic builds that produce identical artifacts from identical source
  • Clear state machines with defined transitions and edge conditions
  • Explicit input/output contracts documented and enforced

SDLC and PDLC Practices

Traditional lifecycle practices work well in this paradigm because the underlying assumptions match:

  • Requirements traceability: Requirements can be traced to design, implementation, and verification
  • Design reviews: Architecture and design decisions can be evaluated against requirements
  • Test plans with expected outcomes: Each test has a defined expected result
  • Verification and validation (V&V): Point-in-time validation demonstrates correctness
  • Change control: Changes can be impact-analyzed before implementation

Testing Strategies

Unit Tests

Assertions with expected outputs, code coverage metrics

Integration Tests

Component interaction verification with expected system states

Regression Tests

Stability verification across versions and changes

Static Analysis

Code quality and security analysis without execution

Boundary Testing

Edge case and limit condition verification

Performance Tests

Load, stress, and capacity validation

Controls and Governance

  • • Version control with complete audit trails
  • • Mandatory code review gates before merge
  • • Deterministic CI/CD pipelines with reproducible builds
  • • Release approval workflows with sign-off requirements
  • • Rollback capabilities with tested recovery procedures

Evidence Expectations

Evidence in deterministic systems is primarily static and point-in-time:

  • • Test results with binary pass/fail outcomes
  • • Code coverage reports showing tested paths
  • • Static analysis findings and resolutions
  • • Traceability matrices linking requirements to tests
  • • V&V documentation demonstrating validation activities

System Examples

Medical Devices

Embedded firmware, infusion pumps, diagnostic equipment

Financial Systems

Transaction processing, trading engines, payment systems

Safety-Critical Controls

Industrial control systems, aviation software, nuclear systems

Enterprise Applications

ERP systems, CRM platforms, traditional business software

What Breaks When Misapplied

When deterministic expectations are incorrectly applied to probabilistic systems:

  • Brittle test cases that pass or fail randomly, dismissed as "flaky"
  • False confidence from snapshot tests that happened to pass
  • Inability to handle emergent behavior not anticipated in requirements
  • Checklist compliance masking real risks that testing cannot catch

Probabilistic-First Computing

GenAI and systems with inherently variable behavior

Definition and Scope

Probabilistic-first computing encompasses generative AI systems (large language models, diffusion models, generative adversarial networks) and other models whose behavior is inherently non-deterministic.

The defining characteristic is that variability is a feature, not a defect. The same input can—and often should—produce different valid outputs. Individual output correctness cannot be guaranteed; correctness is evaluated across distributions of outputs.

Core Assumptions

Fundamental Uncertainty

Individual outputs cannot be predicted with certainty before execution.

Non-Repeatability

Same inputs can produce different valid outputs across executions.

Distribution-Based Correctness

Quality is measured across populations of outputs, not individual instances.

Emergent Behavior

System behavior emerges from training and context, not explicit programming.

Why Traditional SDLC Fails

Traditional SDLC practices are built on deterministic assumptions. When applied directly to probabilistic systems, they fail in predictable ways:

Unit Tests Become Meaningless

Expected outputs vary, so assertions cannot be written. Tests pass or fail randomly.

Regression Testing Fails

Baseline outputs don't reproduce, producing false positives that erode trust in testing.

Coverage Metrics Don't Apply

There is no "code" to cover in prompt engineering. Model internals are opaque.

Point-in-Time Validation is Insufficient

Systems drift over time. Today's validation doesn't guarantee tomorrow's behavior.

Lifecycle Practices for Probabilistic Systems

  • Continuous evaluation: Ongoing assessment, not point-in-time validation
  • Drift monitoring: Systematic tracking of output distribution changes over time
  • Prompt versioning: Prompts are code-equivalent artifacts requiring version control
  • Model versioning: Track which model version produced which outputs
  • Feedback loops: Systematic collection and incorporation of user feedback
  • Human-in-the-loop controls: Defined escalation paths for uncertain outputs

Testing Strategies

Statistical Evaluation

Assess quality across sample populations, not individual outputs

Distribution Analysis

Measure output distributions for quality and drift detection

Adversarial Testing

Probe for harmful outputs, jailbreaks, and edge cases

Prompt Injection Testing

Test resistance to manipulation through crafted inputs

Hallucination Measurement

Track rates of factually incorrect or fabricated outputs

Red Team Exercises

Human adversarial testing for safety and security

Evidence Expectations

Evidence in probabilistic systems is primarily operational and continuous:

  • • Operational metrics tracked over time (latency, error rates, user satisfaction)
  • • Output distribution analysis showing quality trends
  • • Error class categorization (hallucinations, refusals, off-topic responses)
  • • User feedback aggregation and sentiment tracking
  • • Safety incident logs and remediation records
  • • Drift detection reports comparing current to baseline distributions

Governance Requirements

Accountability

Clear ownership for model outputs and their consequences. Who is responsible when the system produces harmful content?

Transparency

Documentation of what the system does, how it was trained, and known limitations.

Human Judgment

Defined checkpoints where humans must review, approve, or override system outputs.

Escalation Paths

Clear procedures for handling edge cases, uncertain outputs, and safety incidents.

System Examples

Conversational AI

Customer service chatbots, virtual assistants, support agents

Content Generation

Marketing copy, documentation drafts, creative writing tools

Code Assistance

AI pair programmers, code completion, refactoring suggestions

Research Tools

Summarization, literature review, knowledge synthesis

What Breaks When Misapplied

When probabilistic systems are treated as deterministic:

  • Random test failures dismissed as infrastructure issues rather than system properties
  • Single validation runs used for approval when they only capture one sample
  • No monitoring after deployment assuming validation guarantees ongoing behavior
  • Accountability gaps when harmful outputs occur with no defined response

Probability-Infused Deterministic Computing

Probabilistic suggestions validated by human experts before deterministic action

Definition and Scope

This hybrid model places humans—often licensed professionals such as physicians, nurses, professional engineers, or auditors—in the decision-making role. Probabilistic systems provide suggestions, recommendations, or options. Humans evaluate these outputs using professional judgment and then make decisions that drive deterministic systems.

The defining characteristic is that legal, ethical, and professional responsibility remains with the human, not the model. The probabilistic system is decision support, not a decision maker.

Core Assumptions

Suggestions, Not Decisions

AI outputs are presented as options requiring human selection.

Professional Accountability

Licensed professionals bear responsibility for decisions made using AI assistance.

Human Validation Required

No auto-commit path from probabilistic output to deterministic action.

Traceability Chain

What was suggested → what was selected → what action was taken.

Design and Architecture Implications

  • Clear presentation of AI suggestions as suggestions—never as decisions or facts
  • Confidence indicators communicating model uncertainty to human reviewers
  • Override capabilities always available—humans can reject, modify, or ignore suggestions
  • Audit logging of what was suggested versus what was selected
  • No silent automation—every AI contribution is visible and attributable

Lifecycle Practices

  • Separate validation tracks: Probabilistic component uses statistical evaluation; deterministic uses traditional V&V
  • Human factors engineering: Suggestion interfaces designed to prevent automation bias
  • Workflow analysis: Identify points where humans might inappropriately defer to AI
  • Training requirements: Users trained on system limitations and override procedures
  • Audit trails: Complete traceability spanning probabilistic suggestion through human decision to deterministic action

Testing Strategies

Probabilistic Component

Distribution-based evaluation of suggestion quality and relevance

Human Interface

Usability testing, workflow analysis, cognitive load assessment

Deterministic Component

Traditional V&V for post-selection processing

Automation Bias Testing

Evaluate whether users inappropriately accept AI suggestions

Controls and Governance

  • • Forced pause points requiring explicit human confirmation before deterministic actions
  • • Audit trails linking suggestion → decision → action with timestamps and user identity
  • • Role-based access ensuring only qualified professionals make final decisions
  • • Time-outs requiring re-confirmation for pending actions
  • • Escalation paths for situations where humans are uncertain

Evidence Expectations

  • • Suggestion accuracy metrics (how often do humans accept AI recommendations?)
  • • Human override rates (when do professionals disagree with AI?)
  • • Decision latency analysis (does AI speed up or slow down decisions?)
  • • Outcome correlation studies (are AI-assisted decisions better or worse?)
  • • Complete audit logs with professional liability documentation

System Examples

Clinical Decision Support

AI suggests diagnoses or treatments; physician decides; EHR records the decision

Diagnostic Imaging

Model flags potential findings; radiologist confirms or rejects; report is generated

Engineering Design

AI proposes solutions; professional engineer reviews; stamped calculations committed

Fraud Detection

Model alerts on suspicious activity; analyst investigates; enforcement action taken

Why This Works in Regulated Environments

  • Clear accountability chain—professional judgment is preserved and documented
  • Auditability maintained—every decision is traceable to a responsible human
  • Regulatory frameworks accommodate human-in-the-loop decision support systems
  • Liability remains with qualified individuals who can be held accountable

Deterministically-Infused Probabilistic Computing

Probabilistic systems constrained by deterministic guardrails

Definition and Scope

This inverse hybrid uses deterministic systems to tightly constrain and guide probabilistic systems. Structured inputs, well-defined prompts, validated context, and narrow scopes reduce risk while still allowing probabilistic systems to add value.

The defining characteristic is that correctness cannot be guaranteed, but the system is designed so outputs are more likely to be right than wrong in meaningful, measurable ways.

Core Assumptions

Bounded Trust

Probabilistic systems cannot be fully trusted but can add value within constraints.

Structured Inputs

Deterministic context assembly reduces output variability.

Narrow Scope

Limiting what the model can access and do reduces potential harm.

Validation Layers

Post-processing validation catches many errors before they reach users.

Design and Architecture Implications

  • Deterministic context assembly before AI invocation—validated, structured inputs
  • Structured prompt templates with validated parameters and constrained variables
  • Output schema enforcement—JSON schemas, enums, bounded formats
  • Post-processing validation layers checking outputs against business rules
  • Fallback paths when validation fails—graceful degradation, not silent errors

Lifecycle Practices

  • Prompt versioning: Prompt templates in source control with change tracking
  • Context assembly testing: Verify that input pipelines produce valid, expected context
  • Guardrail validation: Test that constraints prevent known failure modes
  • Post-processing V&V: Validation logic tested like any deterministic code
  • Continuous monitoring: Track constraint effectiveness in production

Testing Strategies

Constraint Boundary

Test behavior at the edges of allowed inputs and outputs

Prompt Injection Resistance

Verify that structured inputs prevent manipulation

Schema Compliance

Confirm outputs conform to expected formats

Fallback Path Verification

Test graceful degradation when validation fails

Guardrail Effectiveness

Measure how often guardrails prevent bad outputs

Context Quality

Verify input assembly produces valid, complete context

Controls and Governance

  • • Validated input schemas ensuring context meets requirements
  • • Prompt template governance with change control and review
  • • Output validators checking against business rules
  • • Bounded response formats (JSON, enums, structured types)
  • • Rate limiting and scope restrictions on model access
  • • Action restrictions limiting what the model can trigger

Evidence Expectations

  • • Constraint violation rates (how often do outputs fail validation?)
  • • Validation failure analysis (what types of failures occur?)
  • • Guardrail trigger frequency (how often are guardrails activated?)
  • • Scope boundary incidents (attempts to exceed defined limits)
  • • Output compliance metrics (percentage meeting schema requirements)
  • • Fallback activation rates (how often is graceful degradation used?)

System Examples

Structured Data Extraction

Extract entities from documents with schema validation on outputs

Template-Based Code Generation

Generate code within bounded templates with syntax validation

Report Drafting

Generate reports with required sections and format validation

Enterprise Search

Query generation with access-controlled contexts and result filtering

Enterprise Value

  • Enables GenAI adoption without unbounded risk exposure
  • Meets IT governance requirements through measurable controls
  • Provides measurable quality gates that auditors can verify
  • Supports incremental trust building as constraints prove effective

Explicit Paradigm Declaration in Lifecycle Documents

Modern systems often contain components from multiple paradigms. A single product might include deterministic business logic, a probabilistic summarization feature, a human-in-the-loop approval workflow, and a constrained AI assistant. Each component must be explicitly tagged with its governing paradigm.

Documentation Requirements

  • Architecture documents must show paradigm boundaries between components
  • Test plans must use paradigm-appropriate strategies for each component
  • Evidence packages must match paradigm expectations
  • Regulatory submissions must address paradigm-specific requirements

What Happens Without Explicit Declaration

  • Compliance theater: Documentation meets forms but not safety intent
  • Unsafe systems: Probabilistic behavior judged by deterministic standards
  • Operational surprises: Deployed systems behave unexpectedly
  • Audit failures: Evidence doesn't match actual system behavior

Implementation Guidance: For each component in your system, document: (1) which paradigm governs it, (2) what testing strategy applies, (3) what evidence is required, and (4) who is accountable for its outputs. Review this documentation during design reviews, test planning, and regulatory submissions.

Adopting Paradigm-Aware Engineering

This framework is not a product—it's an engineering discipline. Organizations should adapt these concepts to their specific context, regulatory environment, and risk tolerance. The goal is not rigid adherence to a methodology, but thoughtful alignment between system behavior, governance practices, and evidence expectations.

Getting Started

  1. 1 Audit existing systems to identify which paradigms are currently in use—often implicitly
  2. 2 Update SDLC templates to require explicit paradigm declaration for new projects
  3. 3 Train architects, QA, and compliance teams on paradigm differences
  4. 4 Revisit legacy documentation to identify implicit paradigm assumptions
  5. 5 Establish paradigm-specific governance for new AI initiatives