In the first part of the paper we discuss some conceptual problems related to the notion of proof. In the second part we survey five major open problems in Provability Logic as well as possible directions for future research in this area
This thesis is meant to be an introduction to logic. The first two chapters give general background ...
Provability logics are, roughly speaking, modal logics meant to capture the formal principles of var...
An ongoing debate about the differences between formal provability in an axiomatic system and inform...
In the first part of the paper we discuss some conceptual problems related to the notion of proof. ...
Contents 1. Introduction, Solovay's theorems . . . . . . . . . . . . . . . . . . . . . . . . . ...
The mathematical part of this thesis studies the phenomenon of self-reference in arithmetics. A high...
The author shows in his article how the awareness of the difference between truth and provability in...
In 1933 Godel introduced a modal logic of provability (S4) and left open the problem of a formal pro...
Kripke-style semantics is suggested for the provability logic with quantifiers on proofs correspond...
An ongoing debate about the differences between formal provability in an axiomatic system and inform...
Kripke-style semantics is suggested for the provability logic with quantifiers on proofs correspond...
An ongoing debate about the differences between formal provability in an axiomatic system and inform...
We prove that the provability logic of all provability predicates is exactly Fitting, Marek, and Tru...
AbstractIn this paper extensions of HA are studied that prove their own completeness, i.e. they prov...
In this thesis, we study notions of provability, i.e. formulas B(x,y) such that a formula ' is prova...
This thesis is meant to be an introduction to logic. The first two chapters give general background ...
Provability logics are, roughly speaking, modal logics meant to capture the formal principles of var...
An ongoing debate about the differences between formal provability in an axiomatic system and inform...
In the first part of the paper we discuss some conceptual problems related to the notion of proof. ...
Contents 1. Introduction, Solovay's theorems . . . . . . . . . . . . . . . . . . . . . . . . . ...
The mathematical part of this thesis studies the phenomenon of self-reference in arithmetics. A high...
The author shows in his article how the awareness of the difference between truth and provability in...
In 1933 Godel introduced a modal logic of provability (S4) and left open the problem of a formal pro...
Kripke-style semantics is suggested for the provability logic with quantifiers on proofs correspond...
An ongoing debate about the differences between formal provability in an axiomatic system and inform...
Kripke-style semantics is suggested for the provability logic with quantifiers on proofs correspond...
An ongoing debate about the differences between formal provability in an axiomatic system and inform...
We prove that the provability logic of all provability predicates is exactly Fitting, Marek, and Tru...
AbstractIn this paper extensions of HA are studied that prove their own completeness, i.e. they prov...
In this thesis, we study notions of provability, i.e. formulas B(x,y) such that a formula ' is prova...
This thesis is meant to be an introduction to logic. The first two chapters give general background ...
Provability logics are, roughly speaking, modal logics meant to capture the formal principles of var...
An ongoing debate about the differences between formal provability in an axiomatic system and inform...