From Determinism to Non-determinism in Recognizable Two-Dimensional Languages
نویسندگان
چکیده
Tiling systems that recognize two-dimensional languages are intrinsically non-deterministic models. We introduce the notion of deterministic tiling system that generalizes deterministic automata for strings. The corresponding family of languages matches all the requirements of a robust deterministic class. Furthermore we show that, differently from the one-dimensional case, there exist many classes between deterministic and non-deterministic families that we separate by means of examples and decidability properties.
منابع مشابه
Deterministically and Sudoku-Deterministically Recognizable Picture Languages
The recognizable 2-dimensional languages are a robust class with many characterizations, comparable to the regular languages in the 1-dimensional case. One characterization is by tiling systems. The corresponding word problem is NP-complete. Therefore, notions of determinism for tiling systems were suggested. For the notion which was called ”deterministically recognizable” it was open since 199...
متن کاملTiling-recognizable Two-dimensional Languages: from Non-determinism to Determinism through Unambiguity
Tiling recognizable two-dimensional languages, also known as REC, generalize recognizable string languages to two dimensions and share with them several theoretical properties. Nevertheless REC is not closed under complementation and the membership problem is NP-complete. This implies that this family REC is intrinsically non-deterministic. The natural and immediate definition of unambiguity co...
متن کاملA study of Determinism and Free-will in Persian Proverbs
Proverbs as a part of colloquial literature are always nourished by religion, culture, traditions, and philosophical beliefs of a community, and thus they mirror the common beliefs of a people. The frequent repletion of a proverb pregnant with a specific thought makes that type of thought a behavioral pattern and affects the actions and behaviors of the people of a society. In the Iranian socie...
متن کاملA comparative study of Determinism in the poems of IlyaAbuMadi, Khayyam and Hafiz
The question of determinism is one of the very old issues that has always preoccupied human mind. The key question is whether one is autonomous in onechr('39')s actions or they do not have any intentional behavior and that all they do is through deterministic measures. In this descriptive-analytic article, we attempt to examine the issue of determinism and authoritarianism in the poems of ...
متن کاملSocial and Ethical Responsibility against Social Determinism
Background: Because of the highlighted role of ethical responsibility in social and individual life, it is looked as an important issue in ethics area. Social responsibility that is defined as a sub-factor of ethical responsibility will have such an important place. What is discussed in responsibility discussions commonly is the “human will”. Responsibility is more based on the free will. In th...
متن کامل