%0 Conference Proceedings
%T A New Technique for Reachability of States in Concatenation Automata
%+ University of Waterloo [Waterloo]
%A Davies, Sylvie
%< avec comité de lecture
%( Lecture Notes in Computer Science
%B 20th International Conference on Descriptional Complexity of Formal Systems (DCFS)
%C Halifax, NS, Canada
%Y Stavros Konstantinidis
%Y Giovanni Pighizzini
%I Springer International Publishing
%3 Descriptional Complexity of Formal Systems
%V LNCS-10952
%P 75-87
%8 2018-07-25
%D 2018
%R 10.1007/978-3-319-94631-3_7
%Z Computer Science [cs]Conference papers
%X We present a new technique for demonstrating the reachability of states in deterministic finite automata representing the concatenation of two languages. Such demonstrations are a necessary step in establishing the state complexity of the concatenation of two languages, and thus in establishing the state complexity of concatenation as an operation. Typically, ad-hoc induction arguments are used to show particular states are reachable in concatenation automata. We prove some results that seem to capture the essence of many of these induction arguments. Using these results, reachability proofs in concatenation automata can often be done more simply and without using induction directly.
%G English
%Z TC 1
%Z WG 1.2
%2 https://inria.hal.science/hal-01905633/document
%2 https://inria.hal.science/hal-01905633/file/470153_1_En_7_Chapter.pdf
%L hal-01905633
%U https://inria.hal.science/hal-01905633
%~ IFIP-LNCS
%~ IFIP
%~ IFIP-TC
%~ IFIP-TC1
%~ IFIP-WG
%~ IFIP-DCFS
%~ IFIP-WG1-2
%~ IFIP-LNCS-10952