Recursive coalgebras of finitary functors
For finitary set functors preserving inverse images, recursive coalgebras A of Paul Taylor are proved to be precisely those for which the system described by A always halts in finitely many steps.
Reducibilities on tally and sparse sets
Reducibility and correspondences of pure generalized grammars
Reduction algorithms for some classes of aperiodic monoids
Reduction in the number of LUT elements for control units with code sharing
Two methods are proposed targeted at reduction in the number of look-up table elements in logic circuits of compositional microprogram control units (CMCUs) with code sharing. The methods assume the application of field-programmable gate arrays for the implementation of the combinational part of the CMCU, whereas embedded-memory blocks are used for implementation of its control memory. Both methods are based on the existence of classes of pseudoequivalent operational linear chains in a microprogram...
Reduction semantics for rational schemes
Refinements of inductive inference by Popperian and reliable machines
Regular geodesic languages and the falsification by fellow traveler property.
Regular languages definable by Lindström quantifiers
In our main result, we establish a formal connection between Lindström quantifiers with respect to regular languages and the double semidirect product of finite monoids with a distinguished set of generators. We use this correspondence to characterize the expressive power of Lindström quantifiers associated with a class of regular languages.
Regular languages definable by Lindström quantifiers
In our main result, we establish a formal connection between Lindström quantifiers with respect to regular languages and the double semidirect product of finite monoids with a distinguished set of generators. We use this correspondence to characterize the expressive power of Lindström quantifiers associated with a class of regular languages.
Regular prefix-codes and right power-bounded languages.
Regularity and irregularity of sequences generated by automata
Regularity of languages defined by formal series with isolated cut point∗
Let Lϕ,λ = {ω ∈ Σ∗ | ϕ(ω) > λ} be the language recognized by a formal series ϕ:Σ∗ → ℝ with isolated cut point λ. We provide new conditions that guarantee the regularity of the language Lϕ,λ in the case that ϕ is rational or ϕ is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.
Regularity of languages defined by formal series with isolated cut point
Let Lϕ,λ = {ω ∈ Σ∗ | ϕ(ω) > λ} be the language recognized by a formal series ϕ:Σ∗ → ℝ with isolated cut point λ. We provide new conditions that guarantee the regularity of the language Lϕ,λ in the case that ϕ is rational or ϕ is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.
Regularity of languages defined by formal series with isolated cut point∗
Let Lϕ,λ = {ω ∈ Σ∗ | ϕ(ω) > λ} be the language recognized by a formal series ϕ:Σ∗ → ℝ with isolated cut point λ. We provide new conditions that guarantee the regularity of the language Lϕ,λ in the case that ϕ is rational or ϕ is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.
Regulated Galiukschov semicontextual grammars
Reidemeister- Schreier type rewriting for semigroups.
Relace representované -páskovými automaty
Relating automata-theoretic hierarchies to complexity-theoretic hierarchies
We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynomial-time hierarchy. This extends a result of Burtschik and Vollmer on relationship between the Straubing and the polynomial hierarchies. In particular, this applies to the Boolean hierarchy and the plus-hierarchy.
Relating Automata-theoretic Hierarchies to Complexity-theoretic Hierarchies
We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynomial-time hierarchy. This extends a result of Burtschik and Vollmer on relationship between the Straubing and the polynomial hierarchies. In particular, this applies to the Boolean hierarchy and the plus-hierarchy.