TeXipedia

curlywedge

Represents a curly wedge operator used in mathematical logic and abstract algebra for specialized binary operations.

Overview

Primarily employed in advanced mathematical contexts where standard conjunction operators are insufficient to express specific relationships or operations.

  • Common in lattice theory and boolean algebra discussions
  • Used in formal logic proofs and abstract algebraic structures
  • Often appears alongside other specialized logical operators in academic papers and theoretical mathematics
  • Particularly useful when distinguishing between different types of meet operations in specialized algebraic systems

Examples

Using the curly wedge operator to denote a specialized logical AND operation in mathematical logic.

p⋏q  ⟹  rp \curlywedge q \implies r 
p \curlywedge q \implies r

Expressing a binary operation in an algebraic structure using curly wedge notation.

a⋏b=b⋏aa \curlywedge b = b \curlywedge a 
a \curlywedge b = b \curlywedge a

Demonstrating multiple curly wedge operations in a logical expression.

(x⋏y)⋏z=x⋏(y⋏z)(x \curlywedge y) \curlywedge z = x \curlywedge (y \curlywedge z) 
(x \curlywedge y) \curlywedge z = x \curlywedge (y \curlywedge z)