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Circuit satisfiability problem: Science, The Tseytin transformation & Proof of NP-completeness

In theoretical computer science, the circuit satisfiability problem (also known as CIRCUIT-SAT, CircuitSAT, CSAT, etc.) is the decision problem of determining whether a given Boolean circuit has an assignment of its inputs that makes the output true. In other words, it asks whether the inputs to a given Boolean circuit can be consistently set to 1 or 0…

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Circuit satisfiability problem topic overview

The analysis highlights Science, The Tseytin transformation and Proof of NP-completeness as prominent areas in the source structure around Circuit satisfiability problem.

Related topics: 22
Source areas: 5
Connected nodes: 27
Concept neighborhoods: 17
Bridge connections: 27

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 6 topics

The Tseytin transformation · 6 topics

Proof of NP-completeness · 5 topics

Restricted variants and related problems · 4 topics

Reduction from CircuitSAT · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Suggested research paths

A focused starting point derived from the topic graph, ranked independently of the source article order.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Theoretical computer science
Decision problem
Boolean circuit
Boolean satisfiability problem (SAT) Boolean satisfiability problem
NP-complete
Cook–Levin theorem

Proof of NP-completeness

Restricted variants and related problems

Planar Planar graph
NAND NAND gate
NOR NOR gate
Co-NP-complete

Reduction from CircuitSAT

Minesweeper Minesweeper (video game)

The Tseytin transformation

Tseytin transformation
NAND gates Sheffer stroke
Functionally-complete Functional completeness
Net Netlist
Conjunctive normal form
If and only if

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Circuit satisfiability problem connects Entity context

See recurring relationship patterns around Circuit satisfiability problem before inspecting the individual extracted relationships.

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

circuit problem sat inputs gadget output reduction boolean satisfiability circuitsat gates given 3sat np-complete gate whether formula true displaystyle planar

Circuit satisfiability problem relationships Subject–Predicate–Object triples

TTTA extracted structured relationships around Circuit satisfiability problem. The table shows each extracted connection, where it came from and its confidence.

Subject	Predicate	Object	Confidence	Src

Related concept clusters Concept neighborhoods

The concept neighborhoods around Circuit satisfiability problem bring nearby vocabulary together. In this analysis, examples include Inputs, Output and Circuitsat. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

Circuit satisfiability problem
- Inputs
- Output
- Circuitsat
- Problem
- Np-complete
- Sat
- Boolean
- Gate
- Given
- Np-completeness
- Related
- Gates
circuit satisfiability problem
- Inputs
- Output
- Circuitsat
- Np-complete
- Satisfiability
- Whether
- Problem
- Given
- Sat
- Decision
- Determining
- Unsat
decision problem
- Determining
- Whether
- True
- Inputs
- Circuitsat
- Given
- Np-complete
- Satisfiability
- Sat
- Decision
- Problem
- Unsat
boolean circuit
- Given
- Inputs
- Whether
- Output
- Problem
- Circuit-sat
- Decision
- Determining
- Nand
- Sat
- Set
- Boolean
boolean satisfiability problem (sat)
- Given
- Inputs
- Whether
- Circuitsat
- Np-complete
- Satisfiability
- Sat
- Circuit-sat
- Decision
- Determining
- Nand
- Reduction
reduction from circuitsat
- Problems
- Satisfiability
- Np-completeness
- Related
- Problem
- Np-complete
- Sat
- Given
- Satisfying
- Transformation
- Unsat
- Gadgets
or gate
- Input
- Nand
- Set
- Transformation
- Inputs
- Output
- 3sat
- Formula
- Np-completeness
- Related
- Planar
- Problem
nand gates
- Nand
- Inputs
- Gadgets
- Planar
- Set
- Transformation
- Reduction
- Output
- Satisfying
- Time
- Satisfiability
- True

Connections between topic areas Semantic bridges

For Circuit satisfiability problem, one of the stronger structural bridges in this analysis connects Circuit satisfiability problem with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3

Circuit satisfiability problem — Overview · splits 21 ⟂ 7

Circuit satisfiability problem — The Tseytin transformation · splits 21 ⟂ 7

Circuit satisfiability problem — Proof of NP-completeness · splits 22 ⟂ 6

Circuit satisfiability problem — Restricted variants and related problems · splits 23 ⟂ 5

Map overview Semantic statistics