TY - JOUR

T1 - Decidability of the equivalence problem for finitely ambiguous finance automata

AU - Hashiguchi, Kosaburo

AU - Ishiguro, Kenichi

AU - Jimbo, Shuji

PY - 2002/8/20

Y1 - 2002/8/20

N2 - A finance automaton is a sixtuple 〈Σ, Q, δ, S, F, f〉, where 〈Σ, Q, δ, S, F〉 is a (non-deterministic) finite automaton, f : Q × Σ × Q → R ∪ {- ∞} is a finance function, R is the set of real numbers and f(q, a, q′) = -∞ if and only if q′ ∉ δ(q, a). The function f is extended to f : 2Q × Σ* × 2Q → R ∪ {- ∞} by the plus-max principle. For any ω ∈ Σ*, f(S, ω, F) is the profit of ω. It is shown that the equivalence problem for finitely ambiguous finance automata is decidable.

AB - A finance automaton is a sixtuple 〈Σ, Q, δ, S, F, f〉, where 〈Σ, Q, δ, S, F〉 is a (non-deterministic) finite automaton, f : Q × Σ × Q → R ∪ {- ∞} is a finance function, R is the set of real numbers and f(q, a, q′) = -∞ if and only if q′ ∉ δ(q, a). The function f is extended to f : 2Q × Σ* × 2Q → R ∪ {- ∞} by the plus-max principle. For any ω ∈ Σ*, f(S, ω, F) is the profit of ω. It is shown that the equivalence problem for finitely ambiguous finance automata is decidable.

KW - Finance automata

KW - Plus-max principle

KW - Transducer

KW - Tropical semiring

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U2 - 10.1142/S0218196702000845

DO - 10.1142/S0218196702000845

M3 - Article

AN - SCOPUS:0035998625

VL - 12

SP - 445

EP - 461

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 3

ER -