Practicum "Logik II"

Exercise implementations for the practicum to "Logik II" at LMU, SoSo2017. The aim of the practicum is to implement a simplified version of the logical machinery underlying the Minlog proof assistant (the theory of which is covered in the lecture).

Planned Files:

• 1-scheme-exercises.scm
• 2-untyped-lambda-calculus.scm
  • Scheme representation for lambda terms
  • Normalization/evaluation of LC
  • Example: Church numerals
• 3-minimal-implicational-logic.scm
  • Scheme representation for ->-formulas
  • Derivations represented as typed lambda terms
  • Basic proof checking & search
• 4-propositional-logic.scm
  • 3-..scm extended with scheme for inductively defined connectives
• 5-minimal-quantifier-logic.scm
  • TODO: 3-..scm extended by treatment of all-quantifier.
• 6-inductive-algebras.scm
  • TODO: 5-..scm + scheme to inductively specify domains of quantification.
• 7-defined-function-constants.scm
  • TODO
• 8-inductive-predicates.scm
  • TODO
• A1-interactive-derivation-building.scm
  • helper functions for interactively constructing (propositional) derivation trees/terms from bottom to top.
• A2-propositional-minlog-derivations.scm
  • Implementation of (propositional) interactive proof construction in Minlog
• B1-helper-functions.scm
  • auxiliary functions, loaded by above files