Sentence → Logic Transformation
July 13, 2026•561 words
Sentence → Logic Transformation
Sentence → Logic transformation converts natural language into a formal representation that a human or machine can reason about.
Natural Language
↓
Semantic Analysis
↓
Logical Representation
1. Propositional Logic
Sentence:
It is raining.
Logic:
R
where:
R = It is raining
Sentence:
It is raining and it is cold.
Logic:
R ∧ C
2. Predicate Logic (First-Order Logic)
Sentence:
Socrates is a man.
Logic:
Man(Socrates)
Sentence:
All men are mortal.
Logic:
∀x (Man(x) → Mortal(x))
Sentence:
Socrates is mortal.
Logic:
Mortal(Socrates)
3. Event Semantics
Sentence:
John opened the door.
Logic:
∃e (
Open(e)
∧ Agent(e, John)
∧ Theme(e, Door)
)
Representing the event explicitly.
Sentence:
Mary quickly opened the door.
Logic:
∃e (
Open(e)
∧ Agent(e, Mary)
∧ Theme(e, Door)
∧ Quick(e)
)
4. Frame Semantics
Sentence:
John bought a car from Mary.
Frame:
Commercial_Transaction
Roles:
Buyer = John
Seller = Mary
Goods = Car
Formal representation:
Commercial_Transaction(
Buyer=John,
Seller=Mary,
Goods=Car
)
Related resource: FrameNet
5. Semantic Role Labeling
Sentence:
John kicked the ball.
Roles:
Agent = John
Action = Kick
Theme = Ball
Logic:
∃e (
Kick(e)
∧ Agent(e, John)
∧ Theme(e, Ball)
)
6. Description Logic
Sentence:
Every cat is an animal.
Logic:
Cat ⊑ Animal
Used in ontologies.
Tools:
- Protégé
- OWL reasoners
Sentence:
Tom is a cat.
Logic:
Tom : Cat
Inference:
Tom : Animal
7. RDF Triples
Sentence:
John lives in Madurai.
Triple:
John
livesIn
Madurai
Notation:
(John, livesIn, Madurai)
Used in the Semantic Web.
8. Knowledge Graph Representation
Sentence:
Einstein developed the theory of relativity.
Graph:
Einstein
│
developed
│
Theory_of_Relativity
Entities:
- Albert Einstein
- Theory of Relativity
9. Temporal Logic
Sentence:
John will arrive tomorrow.
Logic:
Future(Arrive(John))
Adds time information.
10. Modal Logic
Sentence:
John may arrive.
Logic:
◇ Arrive(John)
Sentence:
John must arrive.
Logic:
□ Arrive(John)
11. Discourse Representation
Sentence:
A man entered.
He sat down.
Representation:
x
Man(x)
Entered(x)
SatDown(x)
The pronoun "he" is linked to the previously introduced man.
12. AMR (Abstract Meaning Representation)
Sentence:
The boy wants to go.
AMR:
(w / want-01
:ARG0 (b / boy)
:ARG1 (g / go-01
:ARG0 b))
Major Fields
Sentence → Logic
├── Propositional Logic
├── First-Order Logic
├── Event Semantics
├── Frame Semantics
├── Semantic Roles
├── Description Logic
├── RDF
├── Knowledge Graphs
├── Temporal Logic
├── Modal Logic
├── Discourse Representation
└── AMR
For your interests in semantics, ontology, frame semantics, event semantics, screenplay actions, and knowledge representation, the most relevant areas are:
Event Semantics
Frame Semantics
Semantic Role Labeling
Description Logic
RDF/OWL
Knowledge Graphs
Discourse Representation
AMR
These form a progression from ordinary sentences to machine-readable representations of meaning and reasoning.