A proof system for predicate logic which can tell you if a given formula is satisfiable or not (and therefore valid, by negating the formula and checking it is not satisfiable).

It uses maximal munch to scan input tokens in predicate logic, and then uses a modified version of the shunting yard algorithm to generate a parse tree. Then, rules are checked to ensure correct usage ...

Abstract: Kripke-style semantics is suggested for the provability logic with quantifiers on proofs corresponding to the standard Gödel proof predicate. It is proved that the set of valid formulas is ...

This is a preview. Log in through your library . Journal Information The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

Predicate logic is an extension of propositional logic. Here we consider what is called first-order predicate logic, abbreviated FOL (sometimes abbreviated PL1, not to be confused with the programming ...

This note is about the "calculational style" of presenting proofs introduced by Dijkstra and Scholten and adopted in some books on theoretical computer science. We define the concept of a calculation, ...

Abstract: We introduce a new axiomatic system of modal logic, BM, extending classical first order logic by adding the binary modal symbol “ ” intended to simulate the metamathematical provability ...