Core Logic Engine (jlnn.core)

This section contains the basic mathematical core of the JLNN framework. It implements interval arithmetic, low-level logical operators, and activation functions optimized for JAX.

• Activation Functions
  • entropy_raw()
  • get_entropic_weight()
  • gravitational_bend_activation()
  • identity_activation()
  • lukasiewicz_and_activation()
  • lukasiewicz_or_activation()
  • ramp_sigmoid()
  • Traditional parametric activation
  • Activation for Łukasiewicz logic
  • Physical fuzzy logic (PFL) and space curvature
• Interval Arithmetic
  • check_contradiction()
  • create_interval()
  • ensure_consistent()
  • ensure_interval()
  • get_lower()
  • get_upper()
  • negate()
  • uncertainty()
  • Key operations
• Logical Kernels
  • and_drastic_pure()
  • and_godel_pure()
  • and_lukasiewicz_pure()
  • and_product_pure()
  • bulk_and_drastic_raw()
  • bulk_and_godel_raw()
  • bulk_and_product_raw()
  • bulk_or_drastic_raw()
  • bulk_or_godel_raw()
  • bulk_or_product_raw()
  • implies_godel()
  • implies_goguen()
  • implies_kleene_dienes()
  • implies_lukasiewicz()
  • implies_physical_gravitational_lukasiewicz()
  • implies_physical_kleene_dienes()
  • implies_physical_reichenbach()
  • implies_reichenbach()
  • or_drastic_pure()
  • or_godel_pure()
  • or_lukasiewicz_pure()
  • or_product_pure()
  • weighted_and_lukasiewicz()
  • weighted_or_lukasiewicz()
  • 1. Łukasiewicz’s logic (Nilpotent / Accumulative)
  • 2. Productive logic (Smooth / Probabilistic)
  • 3. Gödel’s Logic (Strict / Extremal / Min-Max)
  • 4. Drastic Logic (Theoretical Mathematical Bottom)
  • 5. Space-time curved physical fuzzy logic (PFL)