19 citations · 26 across the 14 of their papers we have counts for
7 papers · 1 filter
Measures induced by units
Giovanni Panti, Davide Ravotti
The half-open real unit interval (0,1] is closed under the ordinary multiplication and its residuum. The corresponding infinite-valued propositional logic has as its equivalent alg…
The automorphism group of falsum-free product logic
Giovanni Panti
A few things are known, and many are unknown, on the automorphism group of the free MV-algebra over n-1 generators. In this paper we show that this group appears as the stabilizer…
Invariant measures in free MV-algebras
Giovanni Panti
MV-algebras can be viewed either as the Lindenbaum algebras of Lukasiewicz infinite-valued logic, or as unit intervals of lattice-ordered abelian groups in which a strong order uni…
Dynamical properties of logical substitutions
Giovanni Panti
This is an expository paper on the dynamical properties of substitutions in propositional many-valued logics. We identify substitutions with endomorphisms of free algebras, and we…
Bernoulli automorphisms of finitely generated free MV-algebras
Giovanni Panti
MV-algebras can be viewed either as the Lindenbaum algebras of Lukasiewicz infinite-valued logic, or as unit intervals [0,u] of lattice-ordered abelian groups in which a strong ord…
Generic substitutions
Giovanni Panti
Up to equivalence, a substitution in propositional logic is an endomorphism of its free algebra. On the dual space, this results in a continuous function, and whenever the space ca…