On Kripke-style Semantics for the Provability Logic of Gödel's Proof Predicate with Quantifiers on Proofs.
Rostislav YavorskiyPublished in: J. Log. Comput. (2005)
Keyphrases
- first order logic
- inference rules
- natural deduction
- theorem prover
- valued logic
- cut elimination
- theorem proving
- sequent calculus
- proof search
- higher order logic
- modal logic
- epistemic logic
- proof theoretic
- formal semantics
- logical framework
- proof procedures
- decision procedures
- intuitionistic logic
- proof theory
- predicate calculus
- logical rules
- automated reasoning
- propositional logic
- linear logic
- proof procedure
- horn clauses
- automated theorem proving
- highly expressive
- model theoretic
- truth values
- kripke models
- conditional logic
- nonmonotonic logics
- mathematical proofs
- dynamic logic
- classical logic
- modal operators
- sequent calculi
- formal proof
- relational structures
- knowledge representation
- desirable properties
- temporal logic
- probability theory
- sound and complete axiomatization
- computer algebra
- logical formulas
- knowledge base
- situation calculus
- complete axiomatization
- logic programming
- model checking
- formal language
- autoepistemic logic