Concept #93Mediumextended-ai-concepts

What is reasoning in AI and what is dynamic reasoning?

#gen-ai#llm

Answer

Reasoning in AI and Dynamic Reasoning

Reasoning in AI refers to the model's ability to work through multi-step problems logically. Dynamic reasoning is the ability to adapt the reasoning strategy mid-problem based on intermediate results.

What Is AI Reasoning?

Traditional LLMs complete text token-by-token. Reasoning models add a deliberate "thinking" phase before responding:

text
Standard LLM:
  Prompt → [single forward pass] → Answer

Reasoning Model:
  Prompt → [extended thinking / chain of thought] → Answer
  (may internally explore multiple paths before committing)

Types of Reasoning

TypeDescriptionExample
DeductiveFrom general rules to specific conclusions"All humans are mortal → Socrates is mortal"
InductiveFrom specific examples to general rulePattern recognition from examples
AbductiveBest explanation for observationsDiagnosis from symptoms
AnalogicalTransfer knowledge from one domain to another"This is like sorting, but for graphs"
MathematicalStep-by-step formal computationSolving equations
CausalUnderstanding cause-and-effect chains"X causes Y because..."

Chain-of-Thought Prompting

The simplest way to elicit reasoning:

python
from anthropic import Anthropic

client = Anthropic()

response = client.messages.create(
    model="claude-opus-4-6",
    max_tokens=1024,
    messages=[{
        "role": "user",
        "content": '''Solve step by step:
A store sells apples for $0.50 each and oranges for $0.75 each.
If I buy 8 apples and 5 oranges, how much do I spend?
Think through this carefully.'''
    }]
)
# Model will work through: 8×0.50 = $4.00, 5×0.75 = $3.75, total = $7.75

Extended Thinking (Claude)

Claude supports explicit extended thinking — a dedicated reasoning block:

python
response = client.messages.create(
    model="claude-opus-4-6",
    max_tokens=16000,
    thinking={
        "type": "enabled",
        "budget_tokens": 10000  # How much thinking to allow
    },
    messages=[{
        "role": "user",
        "content": "What is the most efficient algorithm for this problem: [complex problem]"
    }]
)

# Response includes thinking block + final answer
for block in response.content:
    if block.type == "thinking":
        print(f"Reasoning: {block.thinking}")
    else:
        print(f"Answer: {block.text}")

Dynamic Reasoning

Dynamic reasoning means the model adapts its approach based on intermediate results:

python
# Dynamic reasoning example: agent adapts strategy mid-task
def dynamic_solve(problem: str) -> str:
    # First attempt
    initial_approach = llm.invoke(f"How should I approach: {problem}")

    # Try the approach
    result = execute(initial_approach)

    if not result.success:
        # Dynamically change strategy
        new_approach = llm.invoke(
            f"That approach failed: {result.error}. "
            f"What's a different way to solve: {problem}"
        )
        result = execute(new_approach)

    return result

Reasoning Models (2025)

ModelReasoning Type
o1, o3 (OpenAI)Long internal chain-of-thought
Claude with extended thinkingExplicit reasoning blocks
DeepSeek-R1Open-source reasoning model
Gemini 2.0 Flash ThinkingGoogle's reasoning model

When to Use Reasoning Models

Use CaseStandard ModelReasoning Model
Simple Q&AOverkill
Math/logic problems✅ (may fail)
Complex debugging✅✅
Strategy/planning✅✅
Coding competitions✅✅
Cost-sensitive tasksToo expensive